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Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback

Author

Listed:
  • Xiaohong Nian

    (Central South University)

  • Zhaomei Sun

    (Central South University)

  • Xia Wang

    (Central South University)

Abstract

The problem of robust guaranteed cost decentralized stabilization for uncertain discrete large-scale systems with delays is investigated in this paper. Sufficient conditions for the existence of the robust guaranteed cost decentralized controllers via memoryless state feedback and static output feedback are expressed as BMIs. Furthermore, alternate iterative algorithms are proposed to solve the feasible problems with BMI constrains. Numerical examples are given to illustrate effectiveness of the proposed methods.

Suggested Citation

  • Xiaohong Nian & Zhaomei Sun & Xia Wang, 2012. "Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 694-706, November.
    • Handle: RePEc:spr:joptap:v:155:y:2012:i:2:d:10.1007_s10957-012-0087-5
    DOI: 10.1007/s10957-012-0087-5
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    References listed on IDEAS

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    1. Kwon, O.M. & Park, Ju H., 2006. "Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 800-812.
    2. J.H. Park, 2002. "Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays," Journal of Optimization Theory and Applications, Springer, vol. 113(1), pages 105-119, April.
    3. O. M. Kown & J. H. Park, 2006. "Decentralized Guaranteed Cost Control for Uncertain Large-Scale Systems Using Delayed Feedback: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 129(3), pages 391-414, June.
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