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Sliding mode fault-tolerant control for T–S fuzzy system: a singular system approach

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Abstract

The problem of sliding mode fault-tolerant control (SMFTC) for T–S fuzzy systems is addressed in this paper. The case that the fuzzy system has different input matrices, and the input uncertainties is considered, which is more universal than the existing results. A sliding mode based observer is constructed to estimate the system states. Then, fuzzy linear sliding surfaces are constructed for the error system and the observer, and the restricted condition that all the input matrices are common existing in many results is removed. In the sequel, a singular system approach (SSA) is developed to deal with the input uncertainties. Meanwhile, an adaptive sliding mode fault-tolerant controller is constructed, which can completely compensate the effects of the fault and stabilize the fault system. Finally, the theoretical method is verified by simulation studies.

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Authors and Affiliations

  1. Qinhuangdao Vocational and Technical College, Qinhuangdao, 066100, Hebei, China

    Dongyun Wang

  2. School of Mechanical Engineering, Yanshan University, Qinhuangdao, 066100, Hebei, China

    Dongyun Wang

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  1. Dongyun Wang
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Correspondence to Dongyun Wang.

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Communicated by Leonardo Tomazeli Duarte.

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Wang, D. Sliding mode fault-tolerant control for T–S fuzzy system: a singular system approach. Comp. Appl. Math. 41, 418 (2022). https://doi.org/10.1007/s40314-022-02126-4

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  • DOI: https://doi.org/10.1007/s40314-022-02126-4

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