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Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems

Author

Listed:
  • V. N. Phat

    (VAST)

  • Q. P. Ha

    (University of Technology Sydney)

  • H. Trinh

    (Deakin University)

Abstract

This paper addresses the robust stabilization and H ∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H ∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H ∞ control are established in terms of linear matrix inequalities.

Suggested Citation

  • V. N. Phat & Q. P. Ha & H. Trinh, 2010. "Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 58-70, October.
    • Handle: RePEc:spr:joptap:v:147:y:2010:i:1:d:10.1007_s10957-010-9707-0
    DOI: 10.1007/s10957-010-9707-0
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    References listed on IDEAS

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    1. P. T. Nam & V. N. Phat, 2009. "Robust Stabilization of Linear Systems with Delayed State and Control," Journal of Optimization Theory and Applications, Springer, vol. 140(2), pages 287-299, February.
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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.
    2. P. T. Nam & P. N. Pathirana & H. Trinh, 2013. "Exponential Convergence of Time-Delay Systems in the Presence of Bounded Disturbances," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 843-852, June.

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