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Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy

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  • Sun, Meng
  • Zhuang, Guangming
  • Xia, Jianwei
  • Wang, Yanqian
  • Chen, Guoliang

Abstract

This paper investigates the stochastic admissibility and H∞ dynamic output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy. By applying singular value decomposition technique and constructing novel Lyapunov–Krasovskii functional based on dynamic measurement output event-triggering mechanism, improved conditions are realized such that the singular Markov jump closed-loop system satisfies stochastic admissibility and H∞ performance index. Moreover, dynamic output feedback controller gains are obtained via linear matrix inequality technique. Finally, the serviceability of proposed methods is demonstrated by direct current motor driven load and a numerical example.

Suggested Citation

  • Sun, Meng & Zhuang, Guangming & Xia, Jianwei & Wang, Yanqian & Chen, Guoliang, 2022. "Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
  • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008165
    DOI: 10.1016/j.chaos.2022.112635
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    References listed on IDEAS

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    1. Vadivel, R. & Hammachukiattikul, P. & Gunasekaran, Nallappan & Saravanakumar, R. & Dutta, Hemen, 2021. "Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Liu, Guobao & Xu, Shengyuan & Wei, Yunliang & Qi, Zhidong & Zhang, Zhengqiang, 2018. "New insight into reachable set estimation for uncertain singular time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 769-780.
    3. Chen, Wenbin & Gao, Fang & She, Jinhua & Xia, Weifeng, 2020. "Further results on delay-dependent stability for neutral singular systems via state decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Xiong, WeiLi & Xu, BaoGuo, 2008. "Some criteria for robust stability of Cohen–Grossberg neural networks with delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1357-1365.
    5. Xin-Nan Zhang & Xiao-Jian Li, 2020. "Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(12), pages 2217-2237, September.
    6. Mobayen, Saleh & Alattas, Khalid A. & Fekih, Afef & El-Sousy, Fayez F.M. & Bakouri, Mohsen, 2022. "Barrier function-based adaptive nonsingular sliding mode control of disturbed nonlinear systems: A linear matrix inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    7. Xia, Weifeng & Xu, Shengyuan & Lu, Junwei & Li, Yongmin & Chu, Yuming & Zhang, Zhengqiang, 2021. "Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 391(C).
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