Adaptive backstepping position tracking control of quadrotor unmanned aerial vehicle system

Xia Song; Lihua Shen; Fuyang Chen; Xia Song; Lihua Shen; Fuyang Chen

doi:10.3934/math.2023828

AIMS Mathematics

2023, Volume 8, Issue 7: 16191-16207. doi: 10.3934/math.2023828

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Research article

Adaptive backstepping position tracking control of quadrotor unmanned aerial vehicle system

1.
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, Jiangsu, China
2.
College of Science, Binzhou University, Binzhou 256600, Shandong, China
3.
Beijing Aerospace Automatic Control Institute, Beijing 100039, Beijing, China

Received: 19 March 2023 Revised: 10 April 2023 Accepted: 12 April 2023 Published: 06 May 2023
MSC : 93B52, 93C10

In this work, an adaptive backstepping position tracking control using neural network (NN) approximation mechanism is proposed with respect to the translational system of quadrotor unmanned aerial vehicle (QUAV). Concerning the translational system of QUAV, on the one hand, it does not satisfy the matching condition and is an under-actuation dynamic system; on the other hand, it is with strong nonlinearity containing some uncertainty. To achieve the control objective, an intermediary control is introduced to handle the under-actuation problem, then the backstepping technique is combined with NN approximation strategy, which is employed to compensate the uncertainty of the system. Compared with traditional adaptive methods, the proposed adaptive NN position control of QUAV can alleviate the computation burden effectively, because it only trains a scalar adaptive parameter instead of the adaptive parameter vector or matrix. Finally, according to Lyapunov stability proof and computer simulation, it is proved that the control tasks can be accomplished.
- quadrotor aerial robot,
- position control,
- translational system,
- backstepping control,
- neural network
Citation: Xia Song, Lihua Shen, Fuyang Chen. Adaptive backstepping position tracking control of quadrotor unmanned aerial vehicle system[J]. AIMS Mathematics, 2023, 8(7): 16191-16207. doi: 10.3934/math.2023828

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Abstract

In this work, an adaptive backstepping position tracking control using neural network (NN) approximation mechanism is proposed with respect to the translational system of quadrotor unmanned aerial vehicle (QUAV). Concerning the translational system of QUAV, on the one hand, it does not satisfy the matching condition and is an under-actuation dynamic system; on the other hand, it is with strong nonlinearity containing some uncertainty. To achieve the control objective, an intermediary control is introduced to handle the under-actuation problem, then the backstepping technique is combined with NN approximation strategy, which is employed to compensate the uncertainty of the system. Compared with traditional adaptive methods, the proposed adaptive NN position control of QUAV can alleviate the computation burden effectively, because it only trains a scalar adaptive parameter instead of the adaptive parameter vector or matrix. Finally, according to Lyapunov stability proof and computer simulation, it is proved that the control tasks can be accomplished.

References

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