Adaptive Observer-Based Fault-Tolerant Tracking Control for T–S Fuzzy Systems With Mismatched Faults

Abstract

This paper is concerned with the observer-based fault-tolerant tracking controller design problem for a class of T–S fuzzy systems with mismatched faults and disturbances. First, a sequence of adaptive observers are constructed, based on which an iterative algorithm is given to obtain the estimations of the system states and the fault signals simultaneously. Different from the existing results which mainly focus on the compensation of matched faults, by employing an equivalent matrix transformation technique and the backsteppinglike technique, a novel observer-based fault-tolerant tracking control scheme is developed to compensate the effects of the mismatched faults and achieve the output tracking objective. Furthermore, it is proven that all the signals of the resulting closed-loop fuzzy system are uniformly ultimately bounded and the output tracking error converges to a bounded region whose upper bound is relevant to the design parameters and the estimate errors. Finally, two simulation examples are provided to illustrate the validity of the proposed controller design method.