ADAPTIVE FUZZY BACKSTEPPING CONTROL OF FRACTIONAL-ORDER NONLINEAR SYSTEMS WITH ACTUATOR FAULTS AND UNKNOWN DEAD ZONES

Chunzhi Yang (), Qingni Yang () and Yufeng Lin
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Chunzhi Yang: School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China
Qingni Yang: School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China
Yufeng Lin: College of Education, Guangxi Vocational Normal University, Nanning 530007, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 04, 1-16

Abstract: An adaptive fuzzy backstepping tracking control approach is proposed for uncertain fractional order (FO) nonlinear systems with actuator faults and unknown dead zones in this paper. For the purpose of reducing the computational complexity of the backstepping control, an FO command filter is introduced, whose output can accurately estimate the virtual control function as well as its fractional derivative. Compensation signals are introduced to handle estimation errors generated by FO command filters so as to improve the control performance. Based on the FO Lyapunov stability theory, the presented FO virtual control laws and FO adaptive laws can ensure that the signals involved are bounded, and the tracking error and compensation tracking error converge to a small domain of the origin eventually. The effectiveness of the proposed method is verified through two examples.

Keywords: Adaptive Fuzzy Control; Backstepping Control; Command Filter; Fractional-Order Nonlinear System (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25400742

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