Adaptive fuzzy fault-tolerant control for non-linear systems under actuator and sensor faults: the practical fixed-time stability

• Published in: IET control theory & applications Vol. 14; no. 19; pp. 3291 - 3300
• Main Authors: Yang, Yekai, Niu, Yugang, Zhang, Zhina
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 21.12.2020
• Subjects: actuator; actuators; adaptive control; adaptive fault‐tolerate control; adaptive fuzzy fault‐tolerant control strategy; additive faults; closed loop systems; closed‐loop system; control nonlinearities; control performance; control system synthesis; effectiveness faults; fault diagnosis; fault tolerance; faulted states; fault‐tolerant control scheme; feedback; fixed‐time stability; fuzzy approximation; fuzzy control; initial states; linear systems; multiple sensor faults; multiplicative faults; nonlinear control systems; nonlinear functions; nonlinear systems; Research Article; stability; strict‐feedback nonlinear system; uncertain systems; faulted states; fault diagnosis; multiplicative faults; nonlinear functions; adaptive fault-tolerate control; effectiveness faults; strict-feedback nonlinear system; feedback; fuzzy control; actuator; actuators; control nonlinearities; stability; fixed-time stability; fault tolerance; uncertain systems; control system synthesis; adaptive control; linear systems; fuzzy approximation; adaptive fuzzy fault-tolerant control strategy; closed loop systems; nonlinear systems; additive faults; fault-tolerant control scheme; control performance; nonlinear control systems; initial states; closed-loop system; multiple sensor faults
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2020.0689

This study investigates the adaptive fault-tolerate control for strict-feedback non-linear system, in which actuator and sensor faults may happen simultaneously. Moreover, the additive and multiplicative faults are considered, which cover the bias, drift, loss of accuracy, and loss of effectiveness faults. Under the multiple sensor faults, a modified backstepping technique involving in the faulted states is proposed by utilising the fuzzy approximation to the unknown non-linear functions. Later, the adaptive fuzzy fault-tolerant control strategy is designed to ensure the practical fixed-time stability of the closed-loop system. Meanwhile, the convergence time is independent of the initial states of the system, and the control performance can be ensured for arbitrary bounded initial states in this study. Finally, the Buck converter circuit is employed to demonstrate the effectiveness of the proposed fault-tolerant control scheme.