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

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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.

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Authors and Affiliations

  1. Institute of Mathematics, VAST, Hanoi, Vietnam

    V. N. Phat

  2. Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, Australia

    Q. P. Ha

  3. School of Engineering, Deakin University, Geelong, Australia

    H. Trinh

Authors
  1. V. N. Phat
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  2. Q. P. Ha
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  3. H. Trinh
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Corresponding author

Correspondence to V. N. Phat.

Additional information

Communicated by F. Udwadia.

This work was supported by the National Foundation for Science and Technology Development, Vietnam and by the Center of Excellence for Autonomous Systems funded by the Australian Research Council, Australia. The authors would like to thank anonymous reviewers for their valuable comments and suggestions to improve the quality of the paper. The authors also thank Dr. P.T. Nam for improving the numerical example.

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Phat, V.N., Ha, Q.P. & Trinh, H. Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems. J Optim Theory Appl 147, 58–70 (2010). https://doi.org/10.1007/s10957-010-9707-0

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  • DOI: https://doi.org/10.1007/s10957-010-9707-0

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