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Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays

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  • Sun, Shaoxin
  • Wang, Yingchun
  • Zhang, Huaguang
  • Sun, Jiayue

Abstract

This paper focuses on the observer-based fault estimation (FE) and active dynamic output feedback controller design for switched Takagi–Sugeno (T-S) fuzzy Itô stochastic systems against multiple time-varying delays as well as intermittent actuator faults and sensor faults. External disturbances are also considered. First, a novel descriptor sliding mode observer (SMO) is investigated to establish the error dynamics. Compared with the existing results, the proposed observer could be utilized to more cases and applied to a wider scope. Next, in light of the online FE information, a fault tolerant controller is suggested to make the closed-loop system mean-square exponentially stable. Furthermore, a novel piecewise fuzzy Lyapunov function is depicted and then the delay dependent sufficient conditions can be got by linear matrix inequalities (LMIs). The designed SMO has less conservatism than the existing ones. The reachability of the sliding mode surface in the estimation error space is assured under the adopted method. And the finite-time boundedness (FTB) issue is discussed. At last, a simulation example is acquired to validate the novelty and validity of the method proposed in the paper.

Suggested Citation

  • Sun, Shaoxin & Wang, Yingchun & Zhang, Huaguang & Sun, Jiayue, 2020. "Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320300837
    DOI: 10.1016/j.amc.2020.125114
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    References listed on IDEAS

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    Cited by:

    1. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Li, Jiahao & Liu, Yu & Yu, Jinyong & Sun, Yiming & Liu, Mengmeng, 2021. "A new result of terminal sliding mode finite-time state and fault estimation for a class of descriptor switched systems," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    3. Zhang, Zhi-Hui & Hao, Li-Ying & Guo, Mingjie, 2022. "Fault detection for uncertain nonlinear systems via recursive observer and tight threshold," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    4. Sun, Shaoxin & Li, Ting & Pang, Yongheng & Hua, Xingxing, 2022. "Multiple delay-dependent event-triggered finite-time H∞ filtering for uncertain networked random systems against state and input constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    5. Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R., 2022. "Disturbance rejections of interval type-2 fuzzy systems under event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    6. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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