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Decentralized Guaranteed Cost Control for Uncertain Large-Scale Systems Using Delayed Feedback: LMI Optimization Approach

Author

Listed:
  • O. M. Kown

    (Chungbuk National University)

  • J. H. Park

    (Yeungnam University)

Abstract

In this paper, we propose a design method of guaranteed cost controllers for uncertain large-scale systems with time delays in subsystem interconnections using delayed feedback. Using the Lyapunov method, a linear matrix inequality (LMI) optimization problem is formulated to design a delayed feedback controller which minimizes the upper bound of a given quadratic cost function. A numerical example is included to illustrate the design procedures.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:129:y:2006:i:3:d:10.1007_s10957-006-9075-y
    DOI: 10.1007/s10957-006-9075-y
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    References listed on IDEAS

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    1. H. S. Wu, 1999. "Decentralized Stabilizing State Feedback Controllers for a Class of Large-Scale Systems Including State Delays in the Interconnections," Journal of Optimization Theory and Applications, Springer, vol. 100(1), pages 59-87, January.
    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.
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    Citations

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    Cited by:

    1. O. M. Kwon & J. H. Park & S. M. Lee, 2008. "Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 521-532, June.
    2. 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.
    3. O. M. Kwon & J. H. Park, 2008. "Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 277-293, November.

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