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Simultaneous fault detection and control for continuous-time Markovian jump systems with partially unknown transition probabilities

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  • Liu, Xuan
  • Zhai, Ding
  • He, Da-Kuo
  • Chang, Xiao-Heng

Abstract

This paper focuses on the problem of the simultaneous fault detection and control (SFDC) for continuous-time Markovian jump systems (MJSs) with partially unknown transition probabilities (TPs). Under the H∞/H− framework, the fault detection filter and dynamic output feedback controller are presented simultaneously. An adaptive method is utilized to solve the difficulty caused by the unknown transition probabilities. Based on the linear matrix inequality (LMI) approach with adaptive mechanism, a sufficient condition for designing fault detection filter and controller which satisfy the H∞/H− performance is proposed in terms of the adaptive laws. The simulation results are provided to illustrate the validity and applicability of the proposed control scheme.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:469-486
    DOI: 10.1016/j.amc.2018.05.049
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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. Kongwei Zhu & Jun Zhao, 2017. "Simultaneous fault detection and control for switched LPV systems with inexact parameters and its application," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2909-2920, October.
    3. Shen, Liji & Buscher, Udo, 2012. "Solving the serial batching problem in job shop manufacturing systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 14-26.
    4. 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.
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    Cited by:

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    2. Yao, Xiuming & Lian, Yue & Park, Ju H., 2019. "Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    3. Liu, Mengmeng & Yu, Jinyong & Liu, Yu, 2022. "Dynamic event-triggered asynchronous fault detection for Markov jump systems with partially accessible hidden information and subject to aperiodic DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    4. Xu, Qiyi & Zhang, Yijun & Qi, Wenhai & Xiao, Shunyuan, 2020. "Event-triggered mixed H∞ and passive filtering for discrete-time networked singular Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 368(C).

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