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Simultaneous fault detection and control for switched systems with actuator faults

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  • Jian Li
  • Guang-Hong Yang

Abstract

This paper is concerned with the fault detection and control problem for discrete-time switched systems. The actuator faults, especially ‘outage cases’, are considered. The detector/controller is designed simultaneously such that the closed-loop system switches under an average dwell time, and when a fault is detected, an alarm is generated and then the controller is switched to allow the norm of the states of the subsystem to increase within the acceptable limits. Thus, a switching strategy which combines average dwell time switching with event-driven switching is proposed. Under this switching strategy, the attention is focused on designing the detector/controller such that estimation errors between residual signals and faults are minimised for the fulfillment of fault detection objectives; simultaneously, the closed-loop system becomes asymptotically stable for the fulfillment of control objectives. A two-step procedure is adopted to obtain the solutions through satisfying a set of linear matrix inequalities. An example comprising of three cases is considered. Through these cases, it is demonstrated that the fault detection and control for switched systems using a two-stage switching strategy and asynchronous switching are feasible.

Suggested Citation

  • Jian Li & Guang-Hong Yang, 2016. "Simultaneous fault detection and control for switched systems with actuator faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2411-2427, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2411-2427
    DOI: 10.1080/00207721.2014.998740
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    Cited by:

    1. Meng, Xin & Zhai, Ding & Fu, Zhumu & Xie, Xiangpeng, 2020. "Adaptive fault tolerant control for a class of switched nonlinear systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    2. Gao, Lijun & Wang, Zhenyue & Sun, Tao & Cao, Zhengbao, 2023. "Stability analysis for hybrid deterministic system under delay-dependent impulses uniting properties of edges," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    3. Göksu, Gökhan & Başer, Ulviye, 2021. "Finite-time stability for switched linear systems by Jordan decomposition," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    4. Liu, Xuan & Zhai, Ding & He, Da-Kuo & Chang, Xiao-Heng, 2018. "Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 469-486.

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