Active Adaptive Observer-Based Fault-Tolerant Control Strategy for a Class of T-S Fuzzy Systems With Unmeasurable Premise Variables

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 10; pp. 1 - 12
• Main Authors: Zare, Iman, Asemani, Mohammad Hassan, Setoodeh, Peyman
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Active control; Actuators; Adaptive control; Additives; Antiwindup compensators; Chaos theory; Closed loops; Estimation; Fault tolerance; Fault tolerant systems; Feedback control; Fuzzy control; Fuzzy systems; Liapunov functions; Linear matrix inequalities; Observers; Proportional integral; State feedback; Tracking control
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2023.3261552

This paper addresses the problem of fault-tolerant output tracking control for a class of Takagi-Sugeno (T-S) fuzzy systems with unmeasurable premise variables subject to additive and multiplicative actuator faults and external disturbances. In nominal conditions, utilizing a quadratic Lyapunov function and non-parallel distributed compensation (non-PDC) technique, the suggested strategy delivers linear matrix inequality (LMI)-based constraints. Simultaneously design of the proportional-integral (PI)-like state feedback controller and fuzzy anti-windup compensator is achieved with the aim of output tracking. In the faulty case, by considering the nominal system as a reference model, a direct adaptive projection-based approach is developed using the T-S fuzzy modeling and control techniques to supply the adaptive fault-tolerant controller components. An enhanced proportional-integral (PI) state/fault observer with unmeasurable premise variables is introduced only to provide the estimation of states to be used in the proposed controller. The overall closed-loop system ensures the uniformly ultimately bounded (u.u.b) solutions for error dynamics. Two examples, subsuming an inverted pendulum and a chaotic power system, have been used to present the merits and efficiency of the suggested approach persuasively.