Finite-Time Adaptive Fuzzy Control for Unmodeled Dynamical Systems with Actuator Faults

Ruixia Liu (), Lei Xing (), Hong Deng and Weichao Zhong
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Ruixia Liu: Xi’an Key Laboratory of Advanced Control and Intelligent Process, School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710072, China
Lei Xing: Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, China
Hong Deng: Shanghai Institute of Satellite Engineering, Shanghai 201109, China
Weichao Zhong: Shanghai Institute of Satellite Engineering, Shanghai 201109, China

Mathematics, 2023, vol. 11, issue 9, 1-22

Abstract: This article concentrates upon the issue of finite-time tracking control for a category of nonlinear systems in pure-feedback form with actuator faults and unmodeled dynamics, where the loss of effectiveness and bias fault are considered. Meanwhile, the function approximation method utilizing fuzzy logic systems and dynamic surface control approach with first-order filter are implemented to model the unknown nonlinear terms induced from the proposed controller procedure and tackle the “explosion of complexity” issue of the classic backstepping method. The use of the maximal norm of the weight vector estimation method and adaptive approach reduces the computation load induced by fuzzy logic systems. Within the framework of backstepping control, a finite-time adaptive fuzzy fault-tolerant control protocol is derived to guarantee the boundedness of all signals and tracking error of the controlled system within a finite-time. Simulation studies are offered to show the validity of the derived theoretical results of the finite-time control protocol.

Keywords: dynamic surface control; actuator faults; adaptive backstepping control; finite-time control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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