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Dissipativity-based sampled-data control for fuzzy Markovian jump systems

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  • Liang, Xingyue
  • Xia, Jianwei
  • Chen, Guoliang
  • Zhang, Huasheng
  • Wang, Zhen

Abstract

In this paper, the problems of dissipativity analysis and sampled-data control are considered for fuzzy Markovian jump systems. Firstly, by constructing a mode-dependent Lyapunov function consisting of the two-sided closed-loop function where the information of both intervals x(tk) to x(t) and x(t) to x(tk+1) are fully utilized, the stochastically stable criteria and strictly (Q,S,R)-γ-dissipative criteria are proposed in the form of linear matrix inequalities (LMIs). Then, on the basis of the strictly dissipativity criteria, a controller with state feedback is designed for the studied systems. At last, a truck-trailer model is shown to demonstrate the efficiency of the presented method.

Suggested Citation

  • Liang, Xingyue & Xia, Jianwei & Chen, Guoliang & Zhang, Huasheng & Wang, Zhen, 2019. "Dissipativity-based sampled-data control for fuzzy Markovian jump systems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 552-564.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:552-564
    DOI: 10.1016/j.amc.2019.05.038
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    References listed on IDEAS

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    1. Zhang, Jing & Xia, Jianwei & Sun, Wei & Zhuang, Guangming & Wang, Zhen, 2018. "Finite-time tracking control for stochastic nonlinear systems with full state constraints," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 207-220.
    2. Chen, Guoliang & Xia, Jianwei & Zhuang, Guangming & Zhao, Junsheng, 2018. "Improved delay-dependent stabilization for a class of networked control systems with nonlinear perturbations and two delay components," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 1-17.
    3. Wang, Zhen & Xie, Yingkang & Lu, Junwei & Li, Yuxia, 2019. "Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 360-369.
    4. Zeng, Hong-Bing & Liu, Xiao-Gui & Wang, Wei, 2019. "A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 1-8.
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    15. Tao, Ruifeng & Ma, Yuechao & Wang, Chunjiao, 2020. "Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach," Applied Mathematics and Computation, Elsevier, vol. 380(C).
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