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Fault tolerant sliding mode control for T-S fuzzy stochastic time-delay system via a novel sliding mode observer approach

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  • Min Li
  • Ming Liu
  • Yingchun Zhang
  • Yunhai Geng

Abstract

In this paper, a fault estimation and fault-tolerant control problem for a class of T-S fuzzy stochastic time-delay systems with actuator and sensor faults is investigated. A novel sliding mode observer is proposed, which can simultaneously estimate the system states, actuator and sensor faults with good accuracy. Based on the state and actuator fault estimation, a new sliding mode control scheme is developed, which can effectively eliminate the influence of actuator fault. Sufficient conditions for the existence of the proposed observer and fault-tolerant sliding mode controller are provided in terms of linear matrix inequality, and moreover, the reachability of the sliding mode surface can be guaranteed under the proposed control scheme. The propose sliding mode observer and fault-tolerant sliding mode controller can overcome the restrictive assumption that the input matrix of all local modes is the same. Finally, a numerical example is provided to verify the effectiveness of the proposed sliding mode observer and fault-tolerant sliding mode control technique.

Suggested Citation

  • Min Li & Ming Liu & Yingchun Zhang & Yunhai Geng, 2018. "Fault tolerant sliding mode control for T-S fuzzy stochastic time-delay system via a novel sliding mode observer approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(7), pages 1353-1367, May.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1353-1367
    DOI: 10.1080/00207721.2018.1447168
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    Cited by:

    1. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.
    2. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).

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