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Robust passive control for uncertain discrete-time systems with time-varying delays

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  • Cui, Bao Tong
  • Hua, Min Gang

Abstract

This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and measured output matrices. Attention is focused on the design of a state feedback controller and a dynamic output feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. In terms of a linear matrix inequality, a sufficient condition for the solvability of this problem is presented, which is dependent on the size of the delay. When the linear matrix inequality is feasible, the explicit expression of the desired state feedback controller and output feedback controller are given. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.

Suggested Citation

  • Cui, Bao Tong & Hua, Min Gang, 2006. "Robust passive control for uncertain discrete-time systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 331-341.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:2:p:331-341
    DOI: 10.1016/j.chaos.2005.08.039
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    1. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2005. "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1363-1369.
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    Cited by:

    1. Goharrizi, Amin Yazdanpanah & Khaki-Sedigh, Ali & Sepehri, Nariman, 2009. "Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2448-2455.
    2. Guan, Zhi-Hong & Zhang, Hao & Yang, Shuang-Hua, 2008. "Robust passive control for Internet-based switching systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 479-486.
    3. Tsai, Shun-Hung & Li, Tzuu-Hseng S., 2009. "Robust fuzzy control of a class of fuzzy bilinear systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2028-2040.
    4. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.

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