4.8 Article

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

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 28, Issue 1, Pages 134-147

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2019.2900838

Keywords

Observers; Fault tolerance; Fault tolerant systems; Fuzzy systems; Symmetric matrices; Adaptive systems; Adaptive observer; backsteppinglike technique; fault-tolerant; output tracking; T-S fuzzy systems

Funding

  1. National Natural Science Foundation of China [61621004, 61420106016, 61873050]
  2. Research Fund of State Key Laboratory of Synthetical Automation for Process Industries [2018ZCX03]

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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.

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