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Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays

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  • Z. Q. Zuo

    (Tianjin University)

  • Y. J. Wang

    (Tianjin University)

Abstract

The problem of the guaranteed cost control (GCC) for a class of uncertain discrete-time systems with both state and input delays is considered in this paper. A novel LMI-based approach is proposed for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties. A convex optimization algorithm is given to design the state feedback controller which minimizes a bound on a quadratic performance index. The result exhibits some favorable features in computation as shown by a numerical example.

Suggested Citation

  • Z. Q. Zuo & Y. J. Wang, 2008. "Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 139(1), pages 159-170, October.
    • Handle: RePEc:spr:joptap:v:139:y:2008:i:1:d:10.1007_s10957-008-9411-5
    DOI: 10.1007/s10957-008-9411-5
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    References listed on IDEAS

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    1. L. Yu & F. Gao, 2002. "Output Feedback Guaranteed Cost Control for Uncertain Discrete-Time Systems Using Linear Matrix Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 621-634, June.
    2. Z. Q. Zuo & Y. J. Wang, 2005. "Relaxed LMI Condition for Output Feedback Guaranteed Cost Control of Uncertain Discrete-Time Systems," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 207-217, October.
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    Cited by:

    1. M. V. Thuan & V. N. Phat, 2012. "Optimal Guaranteed Cost Control of Linear Systems with Mixed Interval Time-Varying Delayed State and Control," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 394-412, February.

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