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Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching

Author

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  • Zhao, Xiao-Qi
  • Guo, Shun
  • Long, Yue
  • Zhong, Guang-Xin

Abstract

This paper investigates the problem of robust control and fault detection for discrete-time switched systems. The main goals are to design controller/fault detectors and a switching rule to guarantee the control and detection objectives simultaneously. The switching rule is constructed based on persistent dwell time (PDT) with an average dwell time (ADT) constraint. The introduced ADT constraint can allow a much smaller PDT lower bound to be designed, which provides more freedom of designing switching signal. Next, some time-varying dynamic output feedback controllers/detectors matching different switching processes of PDT are constructed such that the closed-loop systems meet the desired objectives. The corresponding robust control and fault detection levels can be characterized by a class of non-weighted performance indexes. Finally, the effectiveness of the proposed results is illustrated by an example.

Suggested Citation

  • Zhao, Xiao-Qi & Guo, Shun & Long, Yue & Zhong, Guang-Xin, 2022. "Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    • Handle: RePEc:eee:apmaco:v:412:y:2022:i:c:s009630032100669x
    DOI: 10.1016/j.amc.2021.126585
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    References listed on IDEAS

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    1. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.
    2. Du, Dongsheng & Cocquempot, Vincent & Jiang, Bin, 2019. "Robust fault estimation observer design for switched systems with unknown input," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 70-83.
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    Cited by:

    1. Zhou, Xin & Chen, Guici & Zhu, Song & Wen, Shiping, 2023. "Distributed event-triggered finite-time H∞ filtering for switched systems on sensor networks with two-channel network attacks and asynchronous modes," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Zou, Ying & Deng, Chao & Dong, Lu & Ding, Lei & Lu, Ming, 2022. "Distributed output feedback consensus tracking control of multiple nonholonomic mobile robots with only position information of leader," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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