The objective of this research work is to adjust the output voltage of a DC-DC buck converter under the influence of noise and parameter variations. For this purpose, a new Kalman filter-based fractional-order controller is proposed. The Kalman filter reduces the effects of sensor and process noise on the system output. To reduce the tuning intricacy of the fractional-order proportional-integral-derivative (FOPID) controller, circumvent the derivative term, and enhance system performance, a novel blended proportional-integral (BPI) controller is introduced. This controller combines integer-order and fractional-order proportional-integral controllers. The parameters of the proposed BPI controller are determined using four metaheuristic optimization techniques: firefly algorithm, artificial bee colony, particle swarm optimization, and Harris Hawks optimization. Among there, the potential of the firefly algorithm-based controller was superior to the other three controllers. The proposed controller is compared with the integer-order KF-based proportional-integral (PI) controller, proportional-integral-derivative (PID) controller, and KF-based fractional-order PI and PID controllers. The proposed controller presents better results regarding settling time and steady-state error. This controller also demonstrates better results under variations in input voltage and inductance of the buck converter. The results of the buck converter are compared with those from an artificial neural network (ANN)-based controller reported in previous literature. The proposed controller improves overshot by 96.42% and settling time by 40% when the inductance of the buck converter is reduced by 50% under a load change from 7.33 to 11 Ω.
Citation: Debarchita Mishra, Sharmistha Mandal. Sensorless control of DC-DC buck converter using metaheuristic algorithm[J]. AIMS Electronics and Electrical Engineering, 2025, 9(3): 339-358. doi: 10.3934/electreng.2025016
The objective of this research work is to adjust the output voltage of a DC-DC buck converter under the influence of noise and parameter variations. For this purpose, a new Kalman filter-based fractional-order controller is proposed. The Kalman filter reduces the effects of sensor and process noise on the system output. To reduce the tuning intricacy of the fractional-order proportional-integral-derivative (FOPID) controller, circumvent the derivative term, and enhance system performance, a novel blended proportional-integral (BPI) controller is introduced. This controller combines integer-order and fractional-order proportional-integral controllers. The parameters of the proposed BPI controller are determined using four metaheuristic optimization techniques: firefly algorithm, artificial bee colony, particle swarm optimization, and Harris Hawks optimization. Among there, the potential of the firefly algorithm-based controller was superior to the other three controllers. The proposed controller is compared with the integer-order KF-based proportional-integral (PI) controller, proportional-integral-derivative (PID) controller, and KF-based fractional-order PI and PID controllers. The proposed controller presents better results regarding settling time and steady-state error. This controller also demonstrates better results under variations in input voltage and inductance of the buck converter. The results of the buck converter are compared with those from an artificial neural network (ANN)-based controller reported in previous literature. The proposed controller improves overshot by 96.42% and settling time by 40% when the inductance of the buck converter is reduced by 50% under a load change from 7.33 to 11 Ω.
| [1] |
Nizami TK, Mahanta C (2016) An intelligent adaptive control of DC–DC buck converters. J Franklin Ins 353: 2588‒613. https://doi.org/10.1016/j.jfranklin.2016.04.008 doi: 10.1016/j.jfranklin.2016.04.008
|
| [2] |
Guo T, Wang Z, Wang X, Li S, Li Q (2017) A simple control approach for buck converters with current-constrained technique. IEEE T Contr Syst Tech 27: 418‒425. https://doi.org/10.1109/TCST.2017.2758347 doi: 10.1109/TCST.2017.2758347
|
| [3] |
Miao Q, Sun Z, Zhang X (2019) Non smooth current-constrained control for a DC–DC synchronous buck converter with disturbances via finite-time-convergent extended state observers. Electronics 9: 16. https://doi.org/10.3390/electronics9010016 doi: 10.3390/electronics9010016
|
| [4] |
Wang Z, Guo T, Wang X, Li S (2019) GPI observer‐based composite current‐constrained control approach for DC–DC buck converters. The Journal of Engineering 2019: 581‒586. https://doi.org/10.1049/joe.2018.9386 doi: 10.1049/joe.2018.9386
|
| [5] | Mandal S, Mishra D (2018) Robust control of buck converter using H-infinity control algorithm. IEEE Applied Signal Processing Conference (ASPCON), Kolkata, 163‒167. https://doi.org/10.1109/ASPCON.2018.8748623 |
| [6] | Mishra D, Mandal S (2020) Voltage Regulation of DC-DC Boost Converter using H-infinity Controller. 2020 International Symposium on Devices, Circuits and Systems (ISDCS), 1‒5. https://doi.org/10.1109/ISDCS49393.2020.9263019 |
| [7] |
Dong W, Li S, Fu X, Li Z (2021) Fairbank, M., Gao, Y. : Control of a buck DC/DC converter using approximate dynamic programming and artificial neural networks. IEEE Transactions on Circuits and Systems Ⅰ: Regular Papers 68: 1760‒1768. https://doi.org/10.1109/TCSI.2021.3053468 doi: 10.1109/TCSI.2021.3053468
|
| [8] |
He W, Namazi MM, Koofigar HR, Amirian MA, Blaabjerg F (2021) Stabilization of DC–DC buck converter with unknown constant power load via passivity‐based control plus proportion‐integration. IET Power Electron 14: 2597‒609. https://doi.org/10.1049/pel2.12205 doi: 10.1049/pel2.12205
|
| [9] |
He W, Shang Y, Namazi MM, Ortega R (2022) Adaptive sensorless control for buck converter with constant power load. Control Eng Pract 126: 105237. https://doi.org/10.1016/j.conengprac.2022.105237 doi: 10.1016/j.conengprac.2022.105237
|
| [10] |
Kim SK, Ahn CK (2018) Self-Tuning Proportional-Type Performance Recovery Property Output Voltage-Tracking Algorithm for DC–DC Boost Converter. IEEE T Ind Electr 66: 3167‒3175. https://doi.org/10.1109/TIE.2018.2849982 doi: 10.1109/TIE.2018.2849982
|
| [11] |
Kim SK (2018) Output voltage-tracking controller with performance recovery property for DC/DC boost converters. IEEE T Contr Syst Tech 27: 1301‒1307. https://doi.org/10.1109/TCST.2018.2806366 doi: 10.1109/TCST.2018.2806366
|
| [12] |
Qie T, Zhang X, Xiang CQ, Yu Y, Iu HHC, Fernando T (2022) A new robust integral reinforcement learning based control algorithm for interleaved DC/DC boost converter. IEEE T Ind Electr 70: 3729‒3739. https://doi.org/10.1109/TIE.2022.3179558 doi: 10.1109/TIE.2022.3179558
|
| [13] |
Errouissi R, Shareef H, Viswambharan A, Wahyudie A (2022) Disturbance observer-based feedback linearization control for stabilization and accurate voltage tracking of a DC-DC boost converter. IEEE T Ind Appl 58: 6687‒6700. https://doi.org/10.1109/TIA.2022.3183040 doi: 10.1109/TIA.2022.3183040
|
| [14] | Ahmad MA, Ismail RMTR (2017) A data-driven sigmoid-based PI controller for buck-converter powered DC motor. 2017 IEEE Symposium on Computer Applications & Industrial Electronics (ISCAIE), 81‒86. https://doi.org/10.1109/ISCAIE.2017.8074954 |
| [15] |
Ghazali MR, Ahmad MA, Raja Ismail RMT, Tokhi MO (2019) An improved neuroendocrine–proportional–integral–derivative controller with sigmoid-based secretion rate for nonlinear multi-input–multi-output crane systems. J Low Freq Noise Vib Act Control 39: 1172‒1186. https://doi.org/10.1177/1461348419867524 doi: 10.1177/1461348419867524
|
| [16] | Azari AN, Sarfi G (2018) Robust Intelligent Controller for Voltage Stabilization of dc-dc Boost Converters. International Research Journal of Engineering and Technology (IRJET) 5: 377‒385. |
| [17] |
Yeroglu C, Tan N (2011) Note on fractional -order proportional-integral-differential controller design. IET Control Theory Application 5: 1978–1989. https://doi.org/10.1049/iet-cta.2010.0746 doi: 10.1049/iet-cta.2010.0746
|
| [18] |
Tepljakov A, Alagoz BB, Yeroglu C, Gonzalez E, HosseinNia SH, Petlenkov E (2018) FOPID Controllers and Their Industrial Applications: A Survey of Recent. IFAC-Papers on Line 51: 25‒30. https://doi.org/10.1016/j.ifacol.2018.06.014 doi: 10.1016/j.ifacol.2018.06.014
|
| [19] |
Moreira WEM, Garcia C (2021) Performance comparison between IOPID and FOPID controllers in an industrial flow pilot plant. IFAC Papers on Line 54: 232–237. https://doi.org/10.1016/j.ifacol.2021.10.039 doi: 10.1016/j.ifacol.2021.10.039
|
| [20] |
Qi Z, Tang J, Pei J, Shan L (2020) Fractional Controller Design of a DC-DC Converter for PEMFC. IEEE Access 8: 120134–120144. https://doi.org/10.1109/ACCESS.2020.3005439 doi: 10.1109/ACCESS.2020.3005439
|
| [21] |
Mohamed AT, Mahmoud MF, Swief RA, Said LA, Radwan AG (2021) Optimal fractional-order PI with DC-DC converter and PV system. Ain Shams Eng J 12: 1895‒1906. https://doi.org/10.1016/j.asej.2021.01.005 doi: 10.1016/j.asej.2021.01.005
|
| [22] |
Seo SW, Choi HH (2019) Digital Implementation of Fractional Order PID-Type Controller for Boost DC–DC Converter. IEEE Access 7: 142652‒142662. https://doi.org/10.1109/ACCESS.2019.2945065 doi: 10.1109/ACCESS.2019.2945065
|
| [23] |
Acharya DS, Mishra SK, Swain SK, Ghosh S (2022) Real-Time Implementation of Fractional-Order PID Controller for Magnetic Levitation Plant with Time Delay. IEEE T Instrum Meas 71: 1‒11. https://doi.org/10.1109/TIM.2022.3218566 doi: 10.1109/TIM.2022.3218566
|
| [24] |
Sahu RK, Panda S, Biswal A, Chandra Sekhar GT (2016) Design and analysis of tilt integral derivative controller with filter for load frequency control of multi-area interconnected power systems. ISA Transactions 61: 251‒264. https://doi.org/10.1016/j.isatra.2015.12.001 doi: 10.1016/j.isatra.2015.12.001
|
| [25] | Hanif O, Shree RS (2019) Design and Analysis of Proportional Integral Derivative Controller and its hybrids. 2019 IEEE 5th International Conference for Convergence in Technology (I2CT), 1‒6. https://doi.org/10.1109/I2CT45611.2019.9033684 |
| [26] |
Joseph SB, Dada EG, Abidemi A, Oyewola DO, Khammas BM (2022) Metaheuristic algorithms for PID controller parameters tuning: review, approaches and open problems, Heliyon 8. https://doi.org/10.1016/j.heliyon.2022.e09399 doi: 10.1016/j.heliyon.2022.e09399
|
| [27] | Mandal S, Afza A (2023) Liquid Level Control of Coupled Tank System Using FOPID Controller. In: Rani, A., Kumar, B., Shrivastava, V., Bansal, R. C. (eds) Signals, Machines and Automation. Lecture Notes in Electrical Engineering 1023: 357‒363. Springer, Singapore. https://doi.org/10.1007/978-981-99-0969-8_36 |
| [28] |
Nanyan NF, Ahmad MA, Hekimoğlu B (2024) Optimal PID controller for the DC-DC buck converter using the improved sine cosine algorithm. Results in Control and Optimization 14: 100352. https://doi.org/10.1016/j.rico.2023.100352 doi: 10.1016/j.rico.2023.100352
|
| [29] |
Jabari M, Izci D, Ekinci S, Bajaj M, Zaitsev I (2024) Performance analysis of DC-DC Buck converter with innovative multi-stage PIDn (1+PD) controller using GEO algorithm. Sci Rep 14: 25612. https://doi.org/10.1038/s41598-024-77395-6 doi: 10.1038/s41598-024-77395-6
|
| [30] | Ersali C, Hekimoglu B, Yilmaz M, Martinez-Morales AA, Akinci TC (2024) Disturbance rejecting PID-FF controller design of a non-ideal buck converter using an innovative snake optimizer with pattern search algorithm. Heliyon 10. https://doi.org/10.1016/j.heliyon.2024.e34448 |
| [31] | Yang X-She (2008) Nature-Inspired Metaheuristic Algorithms, Luniver Press, United Kingdom. |
| [32] |
Yang X-She, He X (2013) Firefly Algorithm: Recent Advances and Applications. Int J Swarm Intelligence 1: 36–50. https://doi.org/10.1504/IJSI.2013.055801 doi: 10.1504/IJSI.2013.055801
|
| [33] |
Fister I, Fister Jr I, Yang XS, Brest J (2013) A comprehensive review of firefly algorithms. Swarm Evol Comput 13: 34‒46. https://doi.org/10.1016/j.swevo.2013.06.001 doi: 10.1016/j.swevo.2013.06.001
|
| [34] |
Wang H, Wang W, Zhou X, Sun H, Zhao J, Yu X, et al. (2017) Firefly Algorithm with Neighborhood Attraction. Inform Sciences 382: 374‒387. https://doi.org/10.1016/j.ins.2016.12.024 doi: 10.1016/j.ins.2016.12.024
|
| [35] |
Ghasemi M, Mohammadi SK, Zare M, Mirjalili S, Gil M, Hemmati R (2022) A new firefly algorithm with improved global exploration and convergence with application to engineering optimization. Decision Analytics Journal 5: 1‒18. https://doi.org/10.1016/j.dajour.2022.100125 doi: 10.1016/j.dajour.2022.100125
|
| [36] |
Kalman RE (1960) A new approach to linear filtering and prediction problems. ASME Journal of Basic Engineering 82: 35‒45. https://doi.org/10.1115/1.3662552 doi: 10.1115/1.3662552
|
| [37] | Chui CK, Chen G (2009) Kalman filtering with real time applications, Berlin Heidelberg: Springer-Verlag, Fourth Edition. |
| [38] |
Ahmeid M, Armstrong M, Gadoue S, Al-Greer M, Missailidis P (2016) Real-time parameter estimation of DC–DC converters using a self-tuned Kalman filter. IEEE T Power Electr 32: 5666‒5674. https://doi.org/10.1109/TPEL.2016.2606417 doi: 10.1109/TPEL.2016.2606417
|
| [39] | Akhlaghi S, Zhou N, Huang Z (2017) Adaptive adjustment of noise covariance in Kalman filter for dynamic state estimation. IEEE power & energy society general meeting, 1‒5. https://doi.org/10.1109/PESGM.2017.8273755 |
| [40] |
Liu F, Gao Z, Yang C, Ma R (2019) Fractional-order Kalman filters for continuous-time fractional-order systems involving correlated and uncorrelated process and measurement noises. Trans Ins Meas Control 41: 1933‒1947. https://doi.org/10.1177/0142331218790786 doi: 10.1177/0142331218790786
|
| [41] |
Ali M, Mandal S (2022) Kalman filter based control of inverted pendulum system. IFAC-Papers on Line 55: 58‒63. https://doi.org/10.1016/j.ifacol.2022.04.010 doi: 10.1016/j.ifacol.2022.04.010
|
| [42] |
Ghosh B, Mandal S (2023) A New Approach for Solar Photovoltaic Parameter Extraction using Metaheuristic Algorithms from Manufacturer Datasheet. IEEE Open Journal of Instrumentation and Measurement 2: 1‒12. https://doi.org/10.1109/OJIM.2023.3318678 doi: 10.1109/OJIM.2023.3318678
|