Loading [MathJax]/jax/element/mml/optable/MathOperators.js
Research article Special Issues

Effective multi-class lungdisease classification using the hybridfeature engineering mechanism


  • The utilization of computational models in the field of medical image classification is an ongoing and unstoppable trend, driven by the pursuit of aiding medical professionals in achieving swift and precise diagnoses. Post COVID-19, many researchers are studying better classification and diagnosis of lung diseases particularly, as it was reported that one of the very few diseases greatly affecting human beings was related to lungs. This research study, as presented in the paper, introduces an advanced computer-assisted model that is specifically tailored for the classification of 13 lung diseases using deep learning techniques, with a focus on analyzing chest radiograph images. The work flows from data collection, image quality enhancement, feature extraction to a comparative classification performance analysis. For data collection, an open-source data set consisting of 112,000 chest X-Ray images was used. Since, the quality of the pictures was significant for the work, enhanced image quality is achieved through preprocessing techniques such as Otsu-based binary conversion, contrast limited adaptive histogram equalization-driven noise reduction, and Canny edge detection. Feature extraction incorporates connected regions, histogram of oriented gradients, gray-level co-occurrence matrix and Haar wavelet transformation, complemented by feature selection via regularized neighbourhood component analysis. The paper proposes an optimized hybrid model, improved Aquila optimization convolutional neural networks (CNN), which is a combination of optimized CNN and DENSENET121 with applied batch equalization, which provides novelty for the model compared with other similar works. The comparative evaluation of classification performance among CNN, DENSENET121 and the proposed hybrid model is also done to find the results. The findings highlight the proposed hybrid model's supremacy, boasting 97.00% accuracy, 94.00% precision, 96.00% sensitivity, 96.00% specificity and 95.00% F1-score. In the future, potential avenues encompass exploring explainable machine learning for discerning model decisions and optimizing performance through strategic model restructuring.

    Citation: Binju Saju, Neethu Tressa, Rajesh Kumar Dhanaraj, Sumegh Tharewal, Jincy Chundamannil Mathew, Danilo Pelusi. Effective multi-class lungdisease classification using the hybridfeature engineering mechanism[J]. Mathematical Biosciences and Engineering, 2023, 20(11): 20245-20273. doi: 10.3934/mbe.2023896

    Related Papers:

    [1] Xinyu Shao, Zhen Liu, Baoping Jiang . Sliding-mode controller synthesis of robotic manipulator based on a new modified reaching law. Mathematical Biosciences and Engineering, 2022, 19(6): 6362-6378. doi: 10.3934/mbe.2022298
    [2] Xiangfei Meng, Guichen Zhang, Qiang Zhang . Robust adaptive neural network integrated fault-tolerant control for underactuated surface vessels with finite-time convergence and event-triggered inputs. Mathematical Biosciences and Engineering, 2023, 20(2): 2131-2156. doi: 10.3934/mbe.2023099
    [3] Xiaoqiang Dai, Hewei Xu, Hongchao Ma, Jianjun Ding, Qiang Lai . Dual closed loop AUV trajectory tracking control based on finite time and state observer. Mathematical Biosciences and Engineering, 2022, 19(11): 11086-11113. doi: 10.3934/mbe.2022517
    [4] Yi Zhang, Yue Song, Song Yang . T-S fuzzy observer-based adaptive tracking control for biological system with stage structure. Mathematical Biosciences and Engineering, 2022, 19(10): 9709-9729. doi: 10.3934/mbe.2022451
    [5] Chengxi Wu, Yuewei Dai, Liang Shan, Zhiyu Zhu, Zhengtian Wu . Data-driven trajectory tracking control for autonomous underwater vehicle based on iterative extended state observer. Mathematical Biosciences and Engineering, 2022, 19(3): 3036-3055. doi: 10.3934/mbe.2022140
    [6] Chao Wang, Cheng Zhang, Dan He, Jianliang Xiao, Liyan Liu . Observer-based finite-time adaptive fuzzy back-stepping control for MIMO coupled nonlinear systems. Mathematical Biosciences and Engineering, 2022, 19(10): 10637-10655. doi: 10.3934/mbe.2022497
    [7] Xingjia Li, Jinan Gu, Zedong Huang, Chen Ji, Shixi Tang . Hierarchical multiloop MPC scheme for robot manipulators with nonlinear disturbance observer. Mathematical Biosciences and Engineering, 2022, 19(12): 12601-12616. doi: 10.3934/mbe.2022588
    [8] Vladimir Djordjevic, Hongfeng Tao, Xiaona Song, Shuping He, Weinan Gao, Vladimir Stojanovic . Data-driven control of hydraulic servo actuator: An event-triggered adaptive dynamic programming approach. Mathematical Biosciences and Engineering, 2023, 20(5): 8561-8582. doi: 10.3934/mbe.2023376
    [9] Na Zhang, Jianwei Xia, Tianjiao Liu, Chengyuan Yan, Xiao Wang . Dynamic event-triggered adaptive finite-time consensus control for multi-agent systems with time-varying actuator faults. Mathematical Biosciences and Engineering, 2023, 20(5): 7761-7783. doi: 10.3934/mbe.2023335
    [10] Chaoyue Wang, Zhiyao Ma, Shaocheng Tong . Adaptive fuzzy output-feedback event-triggered control for fractional-order nonlinear system. Mathematical Biosciences and Engineering, 2022, 19(12): 12334-12352. doi: 10.3934/mbe.2022575
  • The utilization of computational models in the field of medical image classification is an ongoing and unstoppable trend, driven by the pursuit of aiding medical professionals in achieving swift and precise diagnoses. Post COVID-19, many researchers are studying better classification and diagnosis of lung diseases particularly, as it was reported that one of the very few diseases greatly affecting human beings was related to lungs. This research study, as presented in the paper, introduces an advanced computer-assisted model that is specifically tailored for the classification of 13 lung diseases using deep learning techniques, with a focus on analyzing chest radiograph images. The work flows from data collection, image quality enhancement, feature extraction to a comparative classification performance analysis. For data collection, an open-source data set consisting of 112,000 chest X-Ray images was used. Since, the quality of the pictures was significant for the work, enhanced image quality is achieved through preprocessing techniques such as Otsu-based binary conversion, contrast limited adaptive histogram equalization-driven noise reduction, and Canny edge detection. Feature extraction incorporates connected regions, histogram of oriented gradients, gray-level co-occurrence matrix and Haar wavelet transformation, complemented by feature selection via regularized neighbourhood component analysis. The paper proposes an optimized hybrid model, improved Aquila optimization convolutional neural networks (CNN), which is a combination of optimized CNN and DENSENET121 with applied batch equalization, which provides novelty for the model compared with other similar works. The comparative evaluation of classification performance among CNN, DENSENET121 and the proposed hybrid model is also done to find the results. The findings highlight the proposed hybrid model's supremacy, boasting 97.00% accuracy, 94.00% precision, 96.00% sensitivity, 96.00% specificity and 95.00% F1-score. In the future, potential avenues encompass exploring explainable machine learning for discerning model decisions and optimizing performance through strategic model restructuring.



    Ap Ram area
    Ct Internal leakage coefficient
    P1, P2, Oil pressures inside the chambers of the actuator, respectively
    PL Load pressure
    Pr Return pressure
    Ps Supply pressure
    Q1, Q2 Oil flow in both chambers of the actuator
    V01, V02 Initial volume of oil inlet and outlet chamber, respectively
    V1, V2 Control volume of oil inlet and outlet chamber, respectively
    fv Damping coefficient
    g1, g2 Pressure difference of inlet and outlet
    k Spring stiffness
    k1, k2, k3, kr Positive gains
    kt Total gain of the servo valve
    mp Mass of load
    q1, q2 Model errors because of internal leakage
    u Control voltage
    xp Position of load
    β Gain
    βe1, βe2 Oil effective bulk modulus of the actuator, respectively
    ω Bandwidth of the extended state observer
    ARISE Adaptive robust integral of the sign of the error
    ESO Extended state observer
    RISE Robust integral of the sign of the error

    Electric hydraulic servo system (EHSS) is widely used in industry applications due to its high power ratio and fast response [1,2,3,4,5,6]. With the rapid development of technology, more severe control requirements are put forward for EHSS, and high-performance control becomes eagerly needed to address its behavioral nonlinearity and uncertainties, such as flow nonlinearity, pressure dynamic nonlinearity, uncertain parameters, unmolded nonlinearity, and external disturbances [7,8,9,10].

    Nowadays, many researchers focus on advanced control strategies such as robust adaptive control [11,12], sliding mode control [13,14], back-stepping control [15,16], robust integral of the sign of the error (RISE) [17,18] for EHSS. Yue and Yao [17] proposed an adaptive robust integral of the sign of the error control (ARISE), which can adjust the robust gain online through adaptive method to solve the potential high gain feedback of symbolic function. Yao et al. [19] designed a novel ARSE to address noise pollution in the acquisition of acceleration signal, which can compensate the error of friction model and other bounded disturbances [20]. The above literature shows that RISE/ARISE control greatly improves the trajectory tracking accuracy of EHSS. However, those controllers regard the parameter adaptive error, unmolded error, and external disturbance as lumped disturbance, which severely limits the control accuracy. Control strategy based on disturbance observer can compensate the influence of disturbance and uncurtains effectively, which has been used in the field of control theory and engineering [21,22,23,24,25,26]. Especially, the extended state observer (ESO), which is the core of ADRC and has been widely used in disturbance estimation and suppression [27,28,29,30,31,32].

    In this paper, the sign function is replaced with a modified arctangent function to smooth the nonlinearity of sign function. Then, the state and external disturbance can be estimated by ESO, respectively. Finally, the residual observation error is compensated to further enhance the tracking accuracy by ARISE. The Lyapunov theory proves the EHSS can achieve asymptotic s. Simulation results show the proposed controller has a better performance in maxi-mum tracking error, average tracking error and standard deviation of the tracking error.

    The typical working principle of EHSS is shown in Figure 1. The double rod symmetrical hydraulic cylinder is controlled by servo valve to drive the load.

    Figure 1.  Model of valve controlled symmetrical cylinder system.

    In this paper, the force balance equation of EHSS can be given as

    mp¨xp=PLApkxpfv˙xp+f(xp,˙xp,t) (1)

    where mp and xp represent mass and displacement of load respectively; PL is the pressure difference; Ap is the effective area of the piston; k is the spring stiffness; fv is the combined coefficient; f(xp,˙xp,t) indicates the lumped uncertain; Pressure dynamics of the two chambers are given by [15].

    {˙P1=βe1/βe1V1V1(Q1Ap˙xpCtPL+q1(t))˙P2=βe2/βe2V2V2(Ap˙xp+CtPLQ2q2(t)) (2)

    where

    {Q1=ktg1(P1,xv)uQ2=ktg2(P2,xv)u (3)
    {g1=(PsPt+(Ps2P1+Pt)s(u))/2g2=(PsPt(Ps2P2+Pt)s(u))/2 (4)

    The pressure difference dynamics between the two chambers is expressed as follows

    ˙PL=βekt(g1/g1V1+g2/g2V2V2V1+g2/g2V2V2)uβeAp(1/1V1+1/1V2V2V1+1/1V2V2)˙xpβeCt(1/1V1+1/1V2V2V1+1/1V2V2)PL+βe(q1/q1V1+q2/q2V2V2V1+q2/q2V2V2) (5)

    where βe1, βe2 are the effective elastic modulus in two chamber and βe1 = βe2 = βe; V1 = V01 + Ap; V2 = V02 - Ap·xp represents the control volume of return chamber; V01 and V02 are the initial volumes of the two chambers respectively; Ct is the internal leakage coefficient of the cylinder; Q1 (t) and Q2 (t) are the oil flowrate of the two chamber of the cylinder respectively; q1(t) and q2(t) are model errors because of internal leakage in the two chambers; g1 is the pressure difference at the oil inlet and g2 is the pressure difference at the oil outlet; Ps is the supplied pressure; Pr is the return pressure, kt is the total gain of the servo valve; u is the control voltage and s(u) is expressed as

    s(u)={1u>00u=01u<0 (6)

    To make it smooth and differentiable, the sign function s(u) is replaced by Eq (7).

    farctan(u)=2arctan(Ku)/π (7)

    Thus, g1, g2 in Eq (4) can be rewritten as Eq (8).

    {g1=(PsPt+(Ps2P1+Pt)farctan(u))/2g2=(PsPt(Ps2P2+Pt)farctan(u))/2 (8)

    Substituting Eqs (2)-(5) into Eq (1), and thus

    mpxp=Apβukl(g1/V1+g2/V2)uA2pβu(1/V1+1/V2)ˉxpApβeCt(1/V1+1/V2)PL+Apβu(q1/V1+q2/V2)k˙xpfv¨xp+˙f (9)

    Rewritten Eq (9), and thus,

    mpxp=Apβukt(g1/V1+g2/V2)uA2pβe(1/V1+1/V2)ˉxpApβeCt(1/V1+1/V2)FL+Apβe(q1/V1+q2/V2)k˙xpfv¨xp+˙f+f (10)

    where f is the approximation error caused by using the continuously differentiable function farctan(u).

    According to Eq (1)

    PL=mpAp¨xp+kApxp+fvAp˙xpfAp (11)

    Substituting Eq (11) into Eq (10), thus

    mpxp=Apβekt(g1/V1+g2/V2)uβeCt(1/V1+1/V2)kxp(A2pβe(1/V1+1/V2)+fvβeCt(1/V1+1/V2)+k)˙xp(mpβeCt(1/V1+1/V2)+fv)¨xp+βeCt(1/V1+1/V2)f+˙f+f+Apβe(q1/V1+q2/V2) (12)

    Define state variables as x=[x1,x2,x3]T=[xp,˙xp,¨xp]T and output variables as y=x1=xp, so the state space model of EHSS can be expressed as

    {˙x1=x2˙x2=x3˙x3=θ1uθ2x1θ3x2θ4x3+Δ (13)

    where θ1=Apβekt(g1V1+g1V2)/mp,θ2=βeCt(1V1+1V2)k/mp, θ3=(A2pβe(1V1+1V2)+fvβeCt(1V1+1V2)+k)/mp, θ4=(mpβeCt(1V1+1V2)+fv)/mp,Δ=(βeCt(1V1+1V2)f+˙f+f+Apβe(q1V1+q1V2))/mp.

    In practice, the parameters m, k, βe and Ct may not be known accurately, so it is necessary to consider the uncertainties of these parameters. Define vector as θ=[θ1,θ2,θ3,θ4] and improve the tracking performance of the system through the adaptive method.

    The purpose of the system controller is to design a bounded control input u so that y = x1 can track the desired trajectory yd(t) = x1d(t). Therefore, the following assumptions should be given.

    Assumption 1: The desired trajectory x1d is five times differentiable and each is bounded. In practice, the load pressure of hydraulic cylinder meets 0 < PL < Ps.

    Assumption 2: The range of parametric uncertainties is

    θΩθ (14)
    ΩθΔ{θ:θminθθmax} (15)

    where θmin=[θ1min,,θ4min]T, θmax=[θ1max,,θ4max]T are known.

    Assumption 3: The time-varying perturbation Δ (t) of Eq (10) is smooth enough so that

    ˙Δ(t)∣≤δ1&¨Δ(t)∣≤δ2 (16)

    where δ1, δ2 are known positive constants.

    ESO can estimate the uncertainty disturbance comprehensively, so we use ESO to estimate the lumped disturbance and compensate it feed forward to achieve better tracking accuracy.

    Define x4 = Δ(t), ˙x4=δ(t) and the expanded state space can be written as

    {˙x1=x2˙x2=x3˙x3=θ1uθ2x1θ3x2θ4x3+x4˙x4=δ (17)

    Defining ˆx=xˆx as the estimation error of x, where ˆx represents the estimated value of x.

    According to the expanded state space model, the ESO is designed as

    {˙ˆx1=ˆx2+4ω0(x1ˆx1)˙ˆx2=ˆx3+6ω20(x1ˆx1)˙ˆx3=ˆθ1uˆθ2x1ˆθ3x2ˆθ3x3+ˆx4+4ω30(x1ˆx1)˙ˆx4=ω40(x1ˆx1) (18)

    where ω0 is the bandwidth of the extended state observer, ˆθi is the estimated value of the unknown parameters θi, I = 1, 2, 3, 4.

    The dynamic equation of observation error can be obtained by subtracting Eq (17) an Eq (18):

    {˙˜x1=˜x24ϖ0˜x1˙˜x2=˜x36ω20˜x1˙˜x3=˜x4+˜θTΦ14ω30˜x1˙˜x4=δω40˜x1 (19)

    where ˜θ=[˜θ1,˜θ2,˜θ3,˜θ4]T, Φ1=[u,x1,x2,xξ,x4]T.

    Let

    ξi=˜xiωi10,i=1,2,3,4 (20)

    Then Eq (17) can be written as

    [˙ξ1˙ξ2˙ξ3˙ξ4]=ϖ0[4100601040011000]A[ξ1ξ2ξ3ξ4]+[0010]B1˜θTΦϖ20+[0001]B2δϖ30 (21)
    ˙ξ=ω0Aξ+B1˜θTΦω20+B2δϖ30 (22)

    Since matrix A is a Hurwitz matrix, and there is a positive definite symmetric matrix P which satisfies the following equation

    ATP+PA=I (23)

    The symmetric positive definite matrix P is:

    P=[17/17881/12211/11881/1221/12211/11881/12217/178811/11881/12217/17881/1221/12217/17881/12291/9188]

    Considering Eq (14) and Eq (15), the discontinuous projection can be defined as [11].

    Projˆαi(i)={0,i>0andˆαi=αimax0,i<0andˆαi=αimini,otherwise (24)

    where ˆα denote the estimate of α and ˜α denote the estimate error, ˜α=ˆαα,i=1,2,3,4.

    Using the adaptation law as follow:

    ˙ˆα=Projˆα(Γτ(t)),ˆα(0)=Ωˆα (25)

    where Γ is the diagonal positive definite adaptation rate matrix, τ is an adaptation function. For any adaption function τ, the adaptation Eq (25) satisfies follow [3]:

    ˆαΩ˙α (26)
    \tilde{\alpha}^T\left[\Gamma^{-1} \operatorname{Proj}_{\hat{\alpha}}(\Gamma \tau)-\tau\right] \leq 0, \forall \tau (27)

    Defining the following error variables

    \left\{\begin{array}{l} z_1 = x_1-x_{1 d}, z_2 = \dot{z}_1+k_1 z_1 \\ z_3 = \dot{z}_2+k_2 z_2, r = \dot{z}_3+k_3 z_3 \end{array}\right. (28)

    where x1d is the given trajectory; k1 k2 k3 are the positive feedback gain and r is the auxiliary error signal. Because r contains the differentiation of acceleration, it is considered to be unmeasurable in practice and only used for auxiliary design. According to Eq (28), r has the following expansion:

    \begin{array}{l} r = \theta_1 u-\theta_2 x_{1 \mathrm{~d}}-\theta_3 \dot{x}_{1 \mathrm{~d}}-\theta_4 \ddot{x}_{\mathrm{ld}}+\Delta-\dddot{x}_{\mathrm{ld}}-\left(\theta_2-k_1 \theta_3-k_1^3+\theta_4 k_1^2\right) z_1- \\ \left(k_1^2+k_1 k_2-k_2^2 \theta_3-\theta_4 k_1-\theta_4 k_2\right) z_2+\left(k_1+k_2+k_3-\theta_4\right) z_3 \end{array} (29)

    Dividing Eq (29) by θ1, and thus

    \begin{array}{l} \alpha_1 r = u-\alpha_1 \dddot{x}_{1 \mathrm{~d}}-\alpha_2 x_{1 \mathrm{~d}}-\alpha_3 \dot{x}_{\mathrm{ld}}-\alpha_4 \ddot{x}_{1 \mathrm{~d}}+\alpha_1 \Delta-\left(\alpha_2-k_1 \alpha_3-\alpha_1 k_1^3+\alpha_4 k_1^2\right) z_1- \\ \left(\left(k_1^2+k_1 k_2\right) \alpha_1-k_2^2 \alpha_3-\alpha_4 k_1-\alpha_4 k_2\right) z_2+\left(\left(k_1+k_2+k_3\right) \alpha_1-\alpha_4\right) z_3 \end{array} (30)

    where {\alpha _1} = {1 \mathord{\left/ {\vphantom {1 {{\theta _1}}}} \right. } {{\theta _1}}} , {\alpha _2} = {{{\theta _2}} \mathord{\left/ {\vphantom {{{\theta _2}} {{\theta _1}}}} \right. } {{\theta _1}}} , {\alpha _3} = {{{\theta _3}} \mathord{\left/ {\vphantom {{{\theta _3}} {{\theta _1}}}} \right. } {{\theta _1}}} , {\alpha _4} = {{{\theta _4}} \mathord{\left/ {\vphantom {{{\theta _4}} {{\theta _1}}}} \right. } {{\theta _1}}} .

    The model-based controller is designed as follows:

    \left\{ \begin{array}{l} u = {u_a} + {u_s}, {u_s} = \left( {{u_{s1}} + {u_{s2}}} \right), {u_{s1}} = - {k_3}{z_3} \hfill \\ {u_{s2}} = - {k_r}{z_3} + {k_r}{z_3}\left( 0 \right) - \int_o^t {\left[ {{k_r}{k_3}{z_3}\left( \tau \right) + \beta S\left( {{z_3}(\tau )} \right)} \right]{\text{d}}\tau } \hfill \\ {u_a} = {{\hat \alpha }_1}{{\dddot x}_{1{\text{d}}}} + {{\hat \alpha }_2}{x_{1{\text{d}}}} + {{\hat \alpha }_3}{{\dot x}_{1{\text{d}}}} + {{\hat \alpha }_4}{{\ddot x}_{1{\text{d}}}} - {{\hat \alpha }_1}\hat \Delta = {{\hat \alpha }^{\rm T}}{{\boldsymbol{\Phi }}_2} - {{\hat \alpha }_1}\hat \Delta \hfill \\ \end{array} \right. (31)

    where {\hat \alpha = }{\left[{{{\hat \alpha }_1}, {{\hat \alpha }_2}, {{\hat \alpha }_3}, {{\hat \alpha }_4}} \right]^{\rm T}} represents the estimated value of {\alpha } = {\left[{{\alpha _1}, {\alpha _2}, {\alpha _3}, {\alpha _4}} \right]^{\rm T}} ; {k_r} > 0 is the gain of controller; \beta > 0 is the robust gain; {u_a} is the feedforward model compensation, us1 is the linear robust feedback term, us2 is the RISE control term, {{\boldsymbol{\varPhi }}_2} = {\left[{{{\dddot x}_{1{\text{d}}}}, {x_{1{\text{d}}}}, {{\dot x}_{1{\text{d}}}}, {{\ddot x}_{1{\text{d}}}}} \right]^{\rm T}} .

    Substituting Eq (31) into Eq (30) and note that d = - {\hat \alpha _1}\hat \Delta + {\alpha _1}\Delta

    {\alpha _1}r = {{\tilde{\boldsymbol{\alpha}} }^{\rm T}}{\boldsymbol{\varPhi }_2} + d - \left( {{k_3} + {k_r}} \right){z_3} + {k_r}{z_3}\left( 0 \right) - \int_o^t {\left[ {{k_r}{k_3}{z_3}\left( \tau \right) + \beta S\left( {{z_3}(\tau )} \right)} \right]{\text{d}}\tau } - A{z_1} - B{z_2} + C{z_3} (32)

    {\tilde \alpha = \hat \alpha } - {\alpha } , Substitute Eq (25) into Eq (32), thus

    {\alpha _1}\dot r = {\text{Pro}}{{\text{j}}_{\hat \alpha }}{(\Gamma \tau )^T}{{\boldsymbol{\varPhi} }_2} + {{\tilde{\boldsymbol{\alpha}} }^{\rm T}}{{\dot {\boldsymbol{\varPhi}} }_2} + \dot d - \left( {{k_3} + {k_r} - C} \right)r - \beta S\left( {{z_3}} \right) + A{k_1}{z_1} - \left( {A - B{k_2}} \right){z_2} - \left( {B + C{k_3}} \right){z_3} (33)

    The overall structure of the designed control strategy is shown in Figure 2.

    Figure 2.  Overview of control diagram.

    Lemma 1: Define variable L(t) as

    L\left( t \right) = r\left[ {\dot d - \beta {\text{sign}}\left( {{z_3}} \right)} \right] (34)

    Define auxiliary function as

    P\left( t \right) = \beta \left| {{z_3}\left( 0 \right)} \right| - {z_3}\left( 0 \right)\dot d - \int_0^t {L\left( v \right)} {\text{d}}v (35)

    According to [8], if the gain β satisfies the following inequality, then the auxiliary function P(t) is always positive definite.

    \beta \geqslant {\delta _1} + \frac{1}{{{k_3}}}{\delta _2} (36)

    Theorem 1: Using the adaptive law Eq (25), and adaptive function \tau = - r{{\boldsymbol{\dot \Phi }}_2} , and the robust gain β satisfies inequality Eq (36) as well as the feedback gains k1, k2, k3, kr are sufficient to ensure that the matrix {\Lambda } defined below is positive definite, the adaptive robust integral of the sign of the error controller Eq (31) can make all signals bounded in the closed-loop system, and the system obtains asymptotic output tracking, i.e., {z_1} \to 0 as t \to \infty .

    {\boldsymbol{\varLambda}} = \left[ {\begin{array}{*{20}{c}} {{k_1}}&{ - \frac{1}{2}}&0&{ - \frac{1}{2}{k_5}} \\ { - \frac{1}{2}}&{{k_2}}&{ - \frac{1}{2}}&{ - \frac{1}{2}{k_6}} \\ 0&{ - \frac{1}{2}}&{{k_3}}&{ - \frac{1}{2}{k_{67}}} \\ { - \frac{1}{2}{k_5}}&{ - \frac{1}{2}{k_6}}&{ - \frac{1}{2}{k_7}}&{{k_4}} \end{array}} \right] (37)

    where {k_4} = \max \left({{{{\dot {\boldsymbol{\varPhi}} }}_2}^{\rm T}\boldsymbol{\varGamma }{{\boldsymbol{\varPhi} }_2}} \right) + {k_3} + {k_r} - C , {k_5} = A{k_1} , {k_6} = - \left({A - B{k_2}} \right) , {k_7} = - \left({B + C{k_3}} \right) , \max \left(\cdot \right) represents the maximum value of the matrix.

    Proof: see Appendix A.

    The nominal value of the physical parameters of the valve controlled symmetrical hydraulic cylinder are shows in Table 1. The following controllers are compared by simulation to validate the effectiveness of the designed controller.

    Table 1.  Physical parameters of the valve controlled symmetrical hydraulic cylinder.
    Parameter Value Unit Parameter Value Unit
    mp 0.76167 kg fv 100 N/(m/s)
    Ap 2.5 × 10-4 m2 V10 1 × 10-3 m3
    k 10900 N/m V20 1 × 10-3 m3
    βe 2 × 108 Pa kt 5.656 × 10-8 m3/(s·V·N1/2)
    Ct 1 × 10-13 m3/(Pa·s) q1 1 × 10-12 m3/s
    q2 1 × 10-12 m3/s Cd 0.7
    Cv 1 / Wp 5 e-3
    Δp 821, 993 / α 69 °
    K 1000

     | Show Table
    DownLoad: CSV

    (1) Controller I: ESO based ARISE This is the controller designed in this paper. The controller parameters are selected as: k1 = 200, k2 = 180, k3 = 0.08, kr = 0.012, β = 0.05, ω = 100. According to the nominal value of the parameters, the estimated boundary of unknown parameter α are given as: αmin = [5 × 10-5 0.03 2.5 8 × 10-3] and αmax = [7 × 10-5 0.07 3.5 20.2 × 10-3]. The initial estimates of α is set as \hat \alpha (0) = [6.5×10-5 0.04 3 8.2×10-3] and Γ is set as diag[1 × 10-15 2 × 10-2 0.001 5 × 10-10].

    (2) Controller II: ARISE without ESO. Compared to the controller II, there is no ESO compensation term and the other parameters are same to controller I. That is only uα in Eq (18) is replaced as: {u_a} = {\hat \alpha _1}{\dddot x_{1{\text{d}}}} + {\hat \alpha _2}{x_{1{\text{d}}}} + {\hat \alpha _3}{\dot x_{1{\text{d}}}} + {\hat \alpha _4}{\ddot x_{1{\text{d}}}} = {\hat \alpha ^{\rm T}}{{\boldsymbol{\varPhi }}_2}

    (3) Controller III: PI controller. The parameters are set as kP = 410 and kI = 10, which are the optimal solutions after repeated debugging.

    (4) Controller IV: BP neutral network PID controller. The structure of the neutral network is 3-5-3, and the learning rate \eta = 0.28 , inertia coefficient α = 0.3.

    The desired trajectories are designed as three cases: normal motion with the motion trajectory

    {x_{\text{d}}}\left(t \right) = {{10\arctan \left[{\sin \left({\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} \mathord{\left/ {\vphantom {{10\arctan \left[{\sin \left({\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} {0.7854}}} \right. } {0.7854}} mm, fast level motion with the motion trajectory {x_{\text{d}}}\left(t \right) = {{10\arctan \left[{\sin \left({4\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} \mathord{\left/ {\vphantom {{10\arctan \left[{\sin \left({4\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} {0.7854}}} \right. } {0.7854}} mm and low-level motion with the motion trajectory {x_{\text{d}}}\left(t \right) = {{10\arctan \left[{\sin \left({0.2\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} \mathord{\left/ {\vphantom {{10\arctan \left[{\sin \left({0.2\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} {0.7854}}} \right. } {0.7854}} mm. The external disturbance is designed as f\left(t \right) = {{20\arctan \left[{\sin \left({0.8\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} \mathord{\left/ {\vphantom {{20\arctan \left[{\sin \left({0.8\pi t} \right)} \right]\left({1 - {e^{ - t}}} \right)} {0.7854}}} \right. } {0.7854}} N.

    To compare the tracking responses of each controller quantitatively, three performance indices including maximum absolute value of the tracking error Me, average tracking error {\mu _{\text{e}}} , standard deviation of the tracking error σe, which were defined in are adopted to evaluate [20].

    (1) Case I-normal level motion

    The four controllers are tested for a normal motion trajectory xd(t) = 10arctan[sin(πt)] [1-exp(-t)]/0.7854 mm. The tracking performance are shown in Figures 4-6, the performance indices of the four controllers is shown in Table 2. From the Figures 4-6 and Table 1, it is obviously that the valve controlled symmetrical cylinder has the best tracking performance under the controller designed in this paper than other controllers. From Table 2, the amplitudes of steady-state tracking error of the controller III and controller IV are both about 0.6 mm, while controller I is about 0.003 mm and controller II is about 0.01 mm, it shows that the ARISE can deal with nonlinear and uncertainties and disturbance well but PI controller just has some robustness. By comparing the performance indices in Table 2 and tracking error in Figure 6 of controller I and controller II, it can be seen that controller I is better than controller II in all indices obviously, which indicates that the parameter adaptation in Figure 6 and ESO compensates for both parametric and uncertain lumped disturbance are effective. The control input u of controller I showed in Figure 3 is continuous and smooth, which makes it easy to implement in practice.

    Figure 3.  Tracking performance of controller I for normal level motion.
    Figure 4.  Tracking performance of controller I for normal level motion.
    Figure 5.  Tracking errors of four controllers I for normal level motion.
    Figure 6.  Parameter adaptation of controller I.
    Table 2.  Performance indices during the last two cycles for normal motion case.
    Indices Me (mm) μe (mm) σe (mm)
    controller I 0.00304985 0.000778897 0.00084379
    controller II 0.010971 0.00364635 0.00293964
    controller III 0.63097 0.299917 0.197092
    controller IV 0.630986 0.299916 0.197092

     | Show Table
    DownLoad: CSV

    (2) Case II-low level motion

    In this case, a low level reference trajectory xd(t) = 10arctan[sin(0.2πt)][1-exp(-t)]/0.7854 mm is tested. The results are shown in Figures 7-9 and the performance indices are listed in Table 3. From Figure 7 and Table 3, the amplitudes of steady-state tracking error of the controller III and controller IV are both about 0.076mm, while controller I and controller II both are about 9.5 × 10-5 mm, which shows that the ARISE can also deal with nonlinear and uncertainties and disturbance well in low level reference trajectory. By comparing the performance indices of controller I and controller II in Table 3, it can be seen that the maximum absolute value of the tracking error Me of the two controllers almost the same, but the average tracking error μe, and standard deviation of the tracking error σe of controller I are 6.536 × 10-6 mm and 8.833 × 10-6 mm respectively which are better than that of 2.87371 × 10-5 and 1.02822 × 10-5 of controller II obviously, which further validates the effectiveness of the desired parameter adaptation and ESO compensation. The parameter adaptation of controller I are omitted. The control input u of controller I showed in Figure 8 is continuous and there is slight high-frequency vibration. So the controller designed in this paper has the best tracking performance on low level reference trajectory than other controllers too.

    Figure 7.  Tracking performance of controller I for low level motion.
    Table 3.  Performance indices during the last two cycles for slow motion case.
    Indices Me(mm) μe(mm) σe(mm)
    controller I 9.508 × 10-5 6.536 × 10-6 8.833 × 10-6
    controller II 9.58784 × 10-5 2.87371 × 10-5 1.02822 × 10-5
    controller III 7.5716 × 10-2 3.14012 × 10-2 2.00589 × 10-2
    controller IV 7.57345 × 10-2 3.13926 × 10-2 2.00719 × 10-2

     | Show Table
    DownLoad: CSV
    Figure 8.  Control input of controller I for normal level motion.
    Figure 9.  Tracking errors of four controllers I for low level motion.

    (3) Case III-fast level motion

    A faster level reference trajectory xd(t) = 10arctan[sin(4πt)][1-exp(-t)]/0.7854 mm is tested in this case. The results are shown in Figured 10-12 and the performance indices are listed in Table 4. From Figure 12 and Table 4, the amplitudes of steady-state tracking error of the controller III and controller IV are both about 1.24 mm, while controller I 1.34 × 10-2 mm and controller II 4.20256 × 10-2 mm, which shows that the ARISE can better deal with nonlinear and uncertainties and disturbance in fast level reference trajectory than PI controller too. In addition, comparing the performance indices of controller I and controller II in Table 4, it can be seen that the maximum absolute value of the average tracking error μe of the controller I is 4.14 × 10-3 mm and the controller II is 1.63032 × 10-2 mm, the standard deviation of the tracking error σe of controller I are 5.53 ×10-3 mm and the controller II is 1.30355 × 10-2 mm. These further validate the effectiveness of the desired parameter adaptation and ESO compensation. The control input u of controller I showed in Figure 11 is continuous and smooth. The result verifies that the controller designed in this paper still has high tracking accuracy in tracking performance on fast level reference trajectory.

    Figure 10.  Tracking performance of control-ler I for fast level motion.
    Figure 11.  Control input of controller I for normal level motion.
    Figure 12.  Tracking errors of four controllers I for fast level motion.
    Table 4.  Performance indices during the last two cycles for fast motion case.
    Indices Me(mm) μe(mm) σe(mm)
    controller I 1.34 × 10-2 4.14 × 10-3 5.53 × 10-3
    controller II 4.20256 × 10-2 1.63032 × 10-2 1.30355 × 10-2
    controller III 1.238558 0.598359 0.391225
    controller IV 1.238657 0.598359 0.391224

     | Show Table
    DownLoad: CSV

    In this paper, an ARISE with ESO controller is proposed for EHSS to address parametric uncertainties, uncertainty nonlinearities and unmolded disturbances. The proposed ARISE can compensate the dynamics uncertainties, thus guaranteeing asymptotic tracking and improving the adaptability and safety of EHSS. ESO can effectively estimate the state and lumped uncurtains. Simulation results shows that ARISE with ESO can obtain high tracking accuracy and better performance in tracking desired trajectory under all working conditions.

    The authors declare there is no conflict of interest.

    Define a Lyapunov function

    V = \frac{1}{2} z_1^2+\frac{1}{2} z_2^2+\frac{1}{2} z_3^2+\frac{1}{2} \alpha_1 r^2+\frac{1}{2} \tilde{\boldsymbol{\alpha}}^{\mathrm{T}} \boldsymbol{\varGamma}^{-1} \tilde{\boldsymbol{\alpha}}+P (A.1)

    It is Obvious that V is positive definite. The derivative of V is:

    \dot{V} = z_1 \dot{z}_1+z_2 \dot{z}_2+z_3 \dot{z}_3+\alpha_1 r \dot{\eta}+\tilde{\boldsymbol{\alpha}}^{\mathrm{T}} \boldsymbol{\varGamma}^{-1} \dot{\hat{\boldsymbol{\alpha}}}+\dot{P} (A.2)

    Substituting Eqs (25) and (28), L(t)and P(t), into Eq (A.2).

    \begin{aligned} \dot{V} & = z_1\left(z_2-k_1 z_1\right)+z_2\left(z_3-k_2 z_2\right)+z_3\left(r-k_3 z_3\right)+ \\ & r\left\{-\dot{\boldsymbol{\varPhi}}_2^{\mathrm{T}} \boldsymbol{\varGamma} \boldsymbol{\Phi}_2 r+\tilde{\boldsymbol{\alpha}}^{\mathrm{T}} \dot{\boldsymbol{\varPhi}}_2+\dot{d}-\left(k_3+k_r-C\right) r-\beta \operatorname{sign}\left(z_3\right)+A k_1 z_1-\left(A-B k_2\right) z_2-\left(B+C k_3\right) z_3\right\} \\ & +\tilde{\boldsymbol{\alpha}}^T \boldsymbol{\varGamma}^{-1} \operatorname{Proj}_{\hat{\theta}}(\Gamma \tau)-r\left[\dot{d}-\beta \operatorname{sign}\left(z_3\right)\right] \\ & \leq z_1\left(z_2-k_1 z_1\right)+z_2\left(z_3-k_2 z_2\right)+z_3\left(r-k_3 z_3\right)+ \\ & r\left\{-\dot{\boldsymbol{\varPhi}}_2^{\mathrm{T}} \boldsymbol{\varGamma} \boldsymbol{\Phi}_2 r+\tilde{\boldsymbol{\alpha}}^{\mathrm{T}} \dot{\boldsymbol{\varPhi}}_2+\dot{d}-\left(k_3+k_r-C\right) r-\beta \operatorname{sign}\left(z_3\right)+A k_1 z_1-\left(A-B k_2\right) z_2-\left(B+C k_3\right) z_3\right\} \\ & +\tilde{\boldsymbol{\alpha}}^T \tau-r\left[\dot{d}-\beta \operatorname{sign}\left(z_3\right)\right] \\ & = -k_1 z_1^2-k_2 z_2^2-k_3 z_3^2-\left(\dot{\boldsymbol{\varPhi}}_2^{\mathrm{T}} \boldsymbol{\varGamma} \boldsymbol{\Phi}_2+k_3+k_r-C\right) r^2+z_1 z_2+z_2 z_3+z_3 r+\left(A k_1 z_1-A z_2\right) r+B k_2 z_2 r-\left(B+C k_3\right) z_3 r \\ & \triangleq-\boldsymbol{\eta}^{\mathrm{T}} \boldsymbol{\varLambda} \boldsymbol{\eta} \leq-\lambda_{\min }(\boldsymbol{\varLambda})\left(z_1^2+z_2^2+z_3^2+r^2\right) \triangleq-W \end{aligned} (A.3)

    where \boldsymbol{\eta} = \left[z_1, z_2, z_3, r\right]^{\mathrm{T}}, \lambda \min (\boldsymbol{\varLambda}) is the minimum eigenvalue of matrix Λ, therefore V \in L_{\infty} and W \in L_2, so z1, z2, z3 and r are bounded. According to the assumptions 1 and 2, all states of the system are bounded so the actual control input u is bounded. According to Eqs (28) and (33), the derivative of W is bounded, so W is uniformly continuous. According to Barbarat's lemma, W→0 as t→∞, so the conclusion of the theorem 1 can be deduced, theorem 1 is proofed.



    [1] A. Sinha, A. R P, M. Suresh, N. M. R, A. D, A. G. Singerji, Brain tumour detection using deep learning, in 2021 Seventh International conference on Bio Signals, Images, and Instrumentation (ICBSII), (2021), 1–5. https://doi.org/10.1109/ICBSII51839.2021.9445185
    [2] B. Saju, V. Asha, A. Prasad, V. A, A. S, S. P. Sreeja, Prediction analysis of hypothyroidism by association, in 2023 Third International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT), (2023), 1–6. https://doi.org/10.1109/ICAECT57570.2023.10117641
    [3] H. Tang, Z. Hu, Research on medical image classification based on machine learning, IEEE Access, 8 (2020), 93145–93154. https://doi.org/10.1109/ACCESS.2020.2993887 doi: 10.1109/ACCESS.2020.2993887
    [4] S. K. Zhou, H. Greenspan, C. Davatzikos, J. S. Duncan, B. V. Ginneken, A. Madabhushi, et al., A review of deep learning in medical imaging: Imaging traits, technology trends, case studies with progress highlights, and future promises, Proc. IEEE, 109 (2021), 820–838. https://doi.org/10.1109/JPROC.2021.3054390 doi: 10.1109/JPROC.2021.3054390
    [5] P. Uppamma, S. Bhattacharya, Deep learning and medical image processing techniques for diabetic retinopathy: A survey of applications, challenges, and future trends, J. Healthcare Eng., 2023 (2023), 2728719. https://doi.org/10.1155/2023/2728719 doi: 10.1155/2023/2728719
    [6] Z. Shi, L. He, Application of neural networks in medical image processing, in Proceedings of the Second International Symposium on Networking and Network Security, (2010), 23–26.
    [7] L. Abualigah, D. Yousri, M. A. Elaziz, A. A. Ewees, M. A. A. Al-qaness, A. H. Gandomi, Aquila optimizer: A novel meta-heuristic optimization algorithm, Comput. Ind. Eng., 157 (2021), 107250. https://doi.org/10.1016/j.cie.2021.107250 doi: 10.1016/j.cie.2021.107250
    [8] H. Chen, M. M. Rogalski, J. N. Anker, Advances in functional X-ray imaging techniques and contrast agents, Phys. Chem. Chem. Phys., 14 (2012), 13469–13486. https://doi.org/10.1039/c2cp41858d doi: 10.1039/c2cp41858d
    [9] M. E. H. Chowdhury, T. Rahman, A. Khandakar, R. Mazhar, M. A. Kadir, Z. B. Mahbub, et al., Can AI help in screening viral and COVID-19 pneumonia?, IEEE Access, 8 (2020), 132665–132676. https://doi.org/10.1109/ACCESS.2020.3010287 doi: 10.1109/ACCESS.2020.3010287
    [10] S. P. Sreeja, V. Asha, B. Saju, P. K. C, P. Manasa, V. C. R, Classifying chest X-rays for COVID-19 using deep learning, in 2023 International Conference on Intelligent and Innovative Technologies in Computing, Electrical and Electronics (IITCEE), (2023), 1084–1089. https://doi.org/10.1109/IITCEE57236.2023.10090915
    [11] M. Soni, S. Gomathi, P. Kumar, P. P. Churi, M. A. Mohammed, A. O. Salman, Hybridizing convolutional neural network for classification of lung diseases, Int. J. Swarm Intell. Res., 13 (2022), 1–15. https://doi.org/10.4018/IJSIR.287544 doi: 10.4018/IJSIR.287544
    [12] V. Indumathi, R. Siva, An efficient lung disease classification from X-ray images using hybrid Mask-RCNN and BiDLSTM, Biomed. Signal Process. Control, 81 (2023), 104340. https://doi.org/10.1016/j.bspc.2022.104340 doi: 10.1016/j.bspc.2022.104340
    [13] F. M. J. M. Shamrat, S. Azam, A. Karim, R. Islam, Z. Tasnim, P. Ghosh, et al., LungNet22: A fine-tuned model for multiclass classification and prediction of lung disease using X-ray images, J. Pers. Med., 12 (2022), 680. https://doi.org/10.3390/jpm12050680 doi: 10.3390/jpm12050680
    [14] R. Rajagopal, R. Karthick, P. Meenalochini, T. Kalaichelvi, Deep Convolutional Spiking Neural Network optimized with Arithmetic optimization algorithm for lung disease detection using chest X-ray images, Biomed. Signal Process. Control, 79 (2023), 104197. https://doi.org/10.1016/j.bspc.2022.104197 doi: 10.1016/j.bspc.2022.104197
    [15] S. Kim, B. Rim, S. Choi, A. Lee, S. Min, M. Hong, Deep learning in multi-class lung diseases' classification on chest X-ray images, Diagnostics, 12 (2022), 915. https://doi.org/10.3390/diagnostics12040915 doi: 10.3390/diagnostics12040915
    [16] A. M. Q. Farhan, S. Yang, Automatic lung disease classification from the chest X-ray images using hybrid deep learning algorithm, Multimed. Tools Appl., (2023), 38561–38587. https://doi.org/10.1007/s11042-023-15047-z doi: 10.1007/s11042-023-15047-z
    [17] S. Buragadda, K. S. Rani, S. V. Vasantha, M. K. Chakravarthi, HCUGAN: Hybrid cyclic UNET GAN for generating augmented synthetic images of chest X-Ray images for multi classification of lung diseases, Int. J. Eng. Trends Technol., 70 (2020), 249–253. http://doi.org/10.14445/22315381/IJETT-V70I2P227 doi: 10.14445/22315381/IJETT-V70I2P227
    [18] V. Ravi, V. Acharya, M. Alazab, A multichannel Efficient Net deep learning-based stacking ensemble approach for lung disease detection using chest X-ray images, Cluster Comput., 26 (2023), 1181–1203. https://doi.org/10.1007/s10586-022-03664-6 doi: 10.1007/s10586-022-03664-6
    [19] A. M. Ismael, A. Şengür, Deep learning approaches for COVID-19 detection based on chest X-ray images, Expert Syst. Appl., 164 (2021), 114054. https://doi.org/10.1016/j.eswa.2020.114054 doi: 10.1016/j.eswa.2020.114054
    [20] M. Blain, M. T. Kassin, N. Varble, X. Wang, Z. Xu, D. Xu, et al., Determination of disease severity in COVID-19 patients using deep learning in chest X-ray images, Diagn. Interv. Radiol., 27 (2021), 20–27. https://doi.org/10.5152/dir.2020.20205 doi: 10.5152/dir.2020.20205
    [21] E. H. Houssein, Z. Abohashima, M. Elhoseny, W. M. Mohamed, Hybrid quantum-classical convolutional neural network model for COVID-19 prediction using chest X-ray images, J. Comput. Design Eng., 9 (2022), 343–363. https://doi.org/10.1093/jcde/qwac003 doi: 10.1093/jcde/qwac003
    [22] W. A. Shalaby, W. Saad, M. Shokair, F. E. A. El-Samie, M. I. Dessouky, COVID-19 classification based on deep convolutional neural networks over a wireless network, Wireless Pers. Commun., 120 (2021), 1543–1563. https://doi.org/10.1007/s11277-021-08523-y doi: 10.1007/s11277-021-08523-y
    [23] W. Saad, W. A. Shalaby, M. Shokair, F. A. El-Samie, M. Dessouky, E. Abdellatef, COVID-19 classification using deep feature concatenation technique, J. Ambient Intell. Human. Comput., 13 (2022), 2025–2043. https://doi.org/10.1007/s12652-021-02967-7 doi: 10.1007/s12652-021-02967-7
    [24] S. Sheykhivand, Z. Mousavi, S. Mojtahedi, T. Y. Rezaii, A. Farzamnia, S. Meshgini, et al., Developing an efficient deep neural network for automatic detection of COVID-19 using chest X-ray images, Alexandria Eng. J., 60 (2021), 2885–2903. https://doi.org/10.1016/j.aej.2021.01.011 doi: 10.1016/j.aej.2021.01.011
    [25] V. Agarwal, M. C. Lohani, A. S. Bist, D. Julianingsih, Application of voting based approach on deep learning algorithm for lung disease classification, in 2022 International Conference on Science and Technology (ICOSTECH), (2022), 1–7. https://doi.org/10.1109/ICOSTECH54296.2022.9828806
    [26] A. Narin, C. Kaya, Z. Pamuk, Automatic detection of coronavirus disease (COVID-19) using X-ray images and deep convolutional neural networks, Pattern Anal. Appl., 24 (2021), 1207–1220. https://doi.org/10.1007/s10044-021-00984-y doi: 10.1007/s10044-021-00984-y
    [27] V. Kumar, A. Zarrad, R. Gupta, O. Cheikhrouhou, COV-DLS: Prediction of COVID-19 from X-rays using enhanced deep transfer learning techniques, J. Healthcare Eng., 2022 (2022), 6216273. https://doi.org/10.1155/2022/6216273 doi: 10.1155/2022/6216273
    [28] Q. Lv, S. Zhang, Y. Wang, Deep learning model of image classification using machine learning, Adv. Multimedia, 2022 (2022), 3351256. https://doi.org/10.1155/2022/3351256 doi: 10.1155/2022/3351256
    [29] M. Xin, Y. Wang, Research on image classification model based on deep convolutional neural network, J. Image Video Process., 2019 (2019). https://doi.org/10.1186/s13640-019-0417-8 doi: 10.1186/s13640-019-0417-8
    [30] A. H. Setianingrum, A. S. Rini, N. Hakiem, Image segmentation using the Otsu method in Dental X-rays, in 2017 Second International Conference on Informatics and Computing (ICIC), (2017), 1–6. https://doi.org/10.1109/IAC.2017.8280611
    [31] S. Sahu, A. K. Singh, S. P. Ghrera, M. Elhoseny, An approach for de-noising and contrast enhancement of retinal fundus image using CLAHE, Opt. Laser Technol., 110 (2019), 87–98. https://doi.org/10.1016/j.optlastec.2018.06.061 doi: 10.1016/j.optlastec.2018.06.061
    [32] S. K. Jadwaa, X-Ray lung image classification using a canny edge detector, J. Electr. Comput. Eng., 2022 (2022), 3081584. https://doi.org/10.1155/2022/3081584 doi: 10.1155/2022/3081584
    [33] P. G. Bhende, A. N. Cheeran, A novel feature extraction scheme for medical X-ray images, Int. J. Eng. Res. Appl., 6 (2016), 53–60.
    [34] P. K. Mall, P. K. Singh, D. Yadav, GLCM based feature extraction and medical X-ray image classification using machine learning techniques, in 2019 IEEE Conference on Information and Communication Technology, (2019), 1–6. https://doi.org/10.1109/CICT48419.2019.9066263
    [35] S. Gunasekaran, S. Rajan, L. Moses, S. Vikram, M. Subalakshmi, B. Shudhersini, Wavelet based CNN for diagnosis of COVID 19 using chest X ray, in First International Conference on Circuits, Signals, Systems and Securities, 1084 (2021). https://doi.org/10.1088/1757-899X/1084/1/012015
    [36] W. Yang, K. Wang, W. Zuo, Neighborhood component feature selection for high-dimensional data, J. Comput., 7 (2012), 161–168.
    [37] M. Ramprasath, M. V. Anand, S. Hariharan, Image classification using convolutional neural networks, Int. J. Pure Appl. Math., 119 (2018), 1307–1319.
    [38] G. Wang, Z. Guo, X. Wan, X. Zheng, Study on image classification algorithm based on improved DENSENET, J. Phys.: Conf. Ser., 1952 (2021), 022011. http://doi.org/10.1088/1742-6596/1952/2/022011 doi: 10.1088/1742-6596/1952/2/022011
    [39] N. Hasan, Y. Bao, A. Shawon, Y. Huang, DENSENET convolutional neural networks application for predicting COVID-19 using CT image, SN Comput. Sci., 2 (2021), 389. https://doi.org/10.1007/s42979-021-00782-7 doi: 10.1007/s42979-021-00782-7
    [40] B. Sasmal, A. G. Hussien, A. Das, K. G. Dhal, A comprehensive survey on aquila optimizer, Arch. Comput. Methods Eng., 30 (2023), 4449–4476. https://doi.org/10.1007/s11831-023-09945-6 doi: 10.1007/s11831-023-09945-6
    [41] S. Ekinci, D. Izci, E. Eker, L. Abualigah, An effective control design approach based on novel enhanced aquila optimizer for automatic voltage regulator, Artif. Intell. Rev., 56 (2023), 1731–1762. https://doi.org/10.1007/s10462-022-10216-2 doi: 10.1007/s10462-022-10216-2
    [42] M. H. Nadimi-Shahraki, S. Taghian, S. Mirjalili, L. Abualigah, Binary aquila optimizer for selecting effective features from medical data: A COVID-19 case study, Mathematics, 10 (2022), 1929. https://doi.org/10.3390/math10111929 doi: 10.3390/math10111929
    [43] A. A. Ewees, Z. Y. Algamal, L. Abualigah, M. A. A. Al-qaness, D. Yousri, R. M. Ghoniem, et al., A cox proportional-hazards model based on an improved aquila optimizer with whale optimization algorithm operators, Mathematics, 10 (2022), 1273. https://doi.org/10.3390/math10081273 doi: 10.3390/math10081273
    [44] F. Gul, I. Mir, S. Mir, Aquila Optimizer with parallel computation application for efficient environment exploration, J. Ambient Intell. Human. Comput., 14 (2023), 4175–4190. https://doi.org/10.1007/s12652-023-04515-x doi: 10.1007/s12652-023-04515-x
    [45] S. Akyol, A new hybrid method based on Aquila optimizer and tangent search algorithm for global optimization, J. Ambient Intell. Human. Comput., 14 (2023), 8045–8065. https://doi.org/10.1007/s12652-022-04347-1 doi: 10.1007/s12652-022-04347-1
    [46] K. G. Dhal, R. Rai, A. Das, S. Ray, D. Ghosal, R. Kanjilal, Chaotic fitness-dependent quasi-reflected Aquila optimizer for superpixel based white blood cell segmentation, Neural Comput. Appl., 35 (2013), 15315–15332. https://doi.org/10.1007/s00521-023-08486-0 doi: 10.1007/s00521-023-08486-0
    [47] A. Ait-Saadi, Y. Meraihi, A. Soukane, A. Ramdane-Cherif, A. B. Gabis, A novel hybrid chaotic Aquila optimization algorithm with simulated annealing for unmanned aerial vehicles path planning, Comput. Electr. Eng., 104 (2022), 108461. https://doi.org/10.1016/j.compeleceng.2022.108461 doi: 10.1016/j.compeleceng.2022.108461
    [48] S. Wang, H. Jia, L. Abualigah, Q. Liu, R. Zheng, An improved hybrid aquila optimizer and harris hawks algorithm for solving industrial engineering optimization problems, Processes, 9 (2021), 1551. https://doi.org/10.3390/pr9091551 doi: 10.3390/pr9091551
    [49] Y. Zhang, Y. Yan, J. Zhao, Z. Gao, AOAAO: The hybrid algorithm of arithmetic optimization algorithm with aquila optimizer, IEEE Access, 10 (2022), 10907–10933. https://doi.org/10.1109/ACCESS.2022.3144431 doi: 10.1109/ACCESS.2022.3144431
    [50] J. Zhong, H. Chen, W. Chao, Making batch normalization great in federated deep learning, preprint, arXiv: 2303.06530.
    [51] M. Segu, A. Tonioni, F. Tombari, Batch normalization embeddings for deep domain generalization, Pattern Recognit., 135 (2023), 109115. https://doi.org/10.1016/j.patcog.2022.109115 doi: 10.1016/j.patcog.2022.109115
    [52] N. Talat, A. Alsadoon, P. W. C. Prasad, A. Dawoud, T. A. Rashid, S. Haddad, A novel enhanced normalization technique for a mandible bones segmentation using deep learning: batch normalization with the dropout, Multimed. Tools Appl., 82 (2023), 6147–6166. https://doi.org/10.1007/s11042-022-13399-6 doi: 10.1007/s11042-022-13399-6
    [53] G. M. M. Alshmrani, Q. Ni, R. Jiang, H. Pervaiz, N. M. Elshennawy, A deep learning architecture for multi-class lung diseases classification using chest X-ray (CXR) images, Alexandria Eng. J., 64 (2023), 923–935. https://doi.org/10.1016/j.aej.2022.10.053 doi: 10.1016/j.aej.2022.10.053
    [54] F. J. M. Shamrat, S. Azam, A. Karim, K. Ahmed, F. M. Bui, F. De Boer, High-precision multiclass classification of lung disease through customized MobileNetV2 from chest X-ray images, Comput. Biol. Med., 155 (2023), 106646. https://doi.org/10.1016/j.compbiomed.2023.106646 doi: 10.1016/j.compbiomed.2023.106646
    [55] K. Subramaniam, N. Palanisamy, R. A. Sinnaswamy, S. Muthusamy, O. P. Mishra, A. K. Loganathan, et al., A comprehensive review of analyzing the chest X-ray images to detect COVID-19 infections using deep learning techniques, Soft Comput., 27 (2023), 14219–14240. https://doi.org/10.1007/s00500-023-08561-7 doi: 10.1007/s00500-023-08561-7
    [56] S. Sharma, K. Guleria, A deep learning based model for the detection of pneumonia from chest X-Ray images using VGG-16 and neural networks, Procedia Comput. Sci., 218 (2023), 357–366. https://doi.org/10.1016/j.procs.2023.01.018 doi: 10.1016/j.procs.2023.01.018
    [57] V. T. Q. Huy, C. Lin, An improved DENSENET deep neural network model for tuberculosis detection using chest X-Ray images, IEEE Access, 11 (2023), 42839–42849. https://doi.org/10.1109/ACCESS.2023.3270774 doi: 10.1109/ACCESS.2023.3270774
    [58] V. Sreejith, T. George, Detection of COVID-19 from chest X-rays using ResNet-50, J. Phys.: Conf. Ser., 1937 (2021), 012002. https://doi.org/10.1088/1742-6596/1937/1/012002 doi: 10.1088/1742-6596/1937/1/012002
  • This article has been cited by:

    1. Yiming Li, Zhongchao Zhang, Mingliang Bai, Guiqiu Song, Composite RISE control for vehicle-mounted servo system with unknown modeling uncertainties and unknown time-varying disturbances, 2024, 147, 00190578, 590, 10.1016/j.isatra.2024.02.017
    2. Xiaohan Yang, Guozhen Cheng, Yinghao Cui, Jie Hang, ESO-based robust adaptive control for dual closed-loop fuel control system in aeroengine, 2024, 144, 09670661, 105835, 10.1016/j.conengprac.2023.105835
    3. Haifang Zhong, Kailei Liu, Hongbin Qiang, Jing Yang, Shaopeng Kang, Model reference adaptive control of electro-hydraulic servo system based on RBF neural network and nonlinear disturbance observer, 2024, 0959-6518, 10.1177/09596518241277714
  • Reader Comments
  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(1914) PDF downloads(100) Cited by(3)

Figures and Tables

Figures(17)  /  Tables(5)

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog