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Resilient H∞ dynamic output feedback controller design for USJSs with time-varying delays

Author

Listed:
  • Lin, Yuqian
  • Zhuang, Guangming
  • Sun, Wei
  • Zhao, Junsheng
  • Chu, Yuming

Abstract

This paper considers the issue of resilient H∞ dynamic output feedback controller (DOFC) design for uncertain stochastic jump systems (UMJSs) with time-varying delays. The main aim is to realize resilient dynamic output feedback control so as to demonstrate the robust exponential mean-square stability (EMSS) and H∞ performance level of the closed-loop USJSs. The improved conditions for the existence of the resilient DOFC are given by linear matrix inequalities (LMIs). Numerical example and industrial non-isothermal continuous stirred tank reactor (INICSTR) are employed to show the effectiveness and correctness of the method proposed in this paper.

Suggested Citation

  • Lin, Yuqian & Zhuang, Guangming & Sun, Wei & Zhao, Junsheng & Chu, Yuming, 2021. "Resilient H∞ dynamic output feedback controller design for USJSs with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    • Handle: RePEc:eee:apmaco:v:395:y:2021:i:c:s0096300320308286
    DOI: 10.1016/j.amc.2020.125875
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    References listed on IDEAS

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    1. Zhuang, Guangming & Xu, Shengyuan & Xia, Jianwei & Ma, Qian & Zhang, Zhengqiang, 2019. "Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 21-32.
    2. Guangming Zhuang & Yongmin Li & Ze Li, 2016. "Fault detection for a class of uncertain nonlinear Markovian jump stochastic systems with mode-dependent time delays and sensor saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(7), pages 1514-1532, May.
    3. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    4. Tai, Weipeng & Teng, Qingyong & Zhou, Youmei & Zhou, Jianping & Wang, Zhen, 2019. "Chaos synchronization of stochastic reaction-diffusion time-delay neural networks via non-fragile output-feedback control," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 115-127.
    5. Zhang, Dian & Cheng, Jun & Ki Ahn, Choon & Ni, Hongjie, 2019. "A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 191-205.
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