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Event-triggered mixed H∞ and passive filtering for discrete-time networked singular Markovian jump systems

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  • Xu, Qiyi
  • Zhang, Yijun
  • Qi, Wenhai
  • Xiao, Shunyuan

Abstract

The mixed H∞ and passive filtering problem for a class of discrete-time networked singular Markovian jump systems (SMJSs) is investigated in this paper. To reduce transmission of signals in the limited bandwidth networks, a novel event-triggered scheme (ETS) is proposed. A networked singular Markovian jump filtering error system (FES) with time-delay is established by considering the network communication characteristic and the ETS. By utilizing Lyapunov–Kravoskii stability theory, some new criteria are derived in the form of linear matrix inequalities (LMIs) such that the FES is stochastically admissible (SA) and has a prescribed level of mixed H∞ and passive performance. The co-design method is given, which can realize the synchronous design for the filter and ETS parameters. The proposed method can deal with the mode-dependent or mode-independent filter design problems for SMJSs including H∞, passive and mixed filter (i.e., mixed H∞ and passive filter) in a unified form. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed method.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307957
    DOI: 10.1016/j.amc.2019.124803
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    References listed on IDEAS

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    1. Gao, Xianwen & He, Hangfeng & Qi, Wenhai, 2017. "Admissibility analysis for discrete-time singular Markov jump systems with asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 431-441.
    2. 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.
    3. Yang, Guowei & Kao, Yonggui & Jiang, Baoping & Yin, Jile, 2017. "Delay-dependent H∞ filtering for singular Markovian jump systems with general uncomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 195-215.
    4. Zhao, Wenying & Ma, Yuechao & Chen, Aihong & Fu, Lei & Zhang, Yutong, 2019. "Robust sliding mode control for Markovian jump singular systems with randomly changing structure," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 81-96.
    5. M. Sathishkumar & R. Sakthivel & O. M. Kwon & B. Kaviarasan, 2017. "Finite-time mixed and passive filtering for Takagi–Sugeno fuzzy nonhomogeneous Markovian jump systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1416-1427, May.
    6. Kwon, Nam Kyu & Park, In Seok & Park, PooGyeon, 2017. "H∞ control for singular Markovian jump systems with incomplete knowledge of transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 126-135.
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    1. Qi, Yiwen & Zhao, Xiujuan & Huang, Jie, 2021. "H∞ filtering for switched systems subject to stochastic cyber attacks: A double adaptive storage event-triggering communication," Applied Mathematics and Computation, Elsevier, vol. 394(C).

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