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H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters

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Abstract

This paper deals with the robust H∞-control problem for uncertain continuous-time linear time-delay systems with Markovian jumping parameters. Based on Lyapunov functional approach, a sufficient condition that assures the robust stochastic stabilizability and preserves the H∞-disturbance attenuation for the uncertain class of linear time-delay systems with Markovian jumping parameters is established. The uncertainties considered in this paper are of the norm-bounded type. A numerical example is given to demonstrate the usefulness of the results.

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Authors and Affiliations

  1. Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Québec, Canada

    K. Benjelloun (Graduate Student)

  2. Mechanical Engineering Department, École Polytechnique de Montréal, Montréal, Québec, Canada

    E. K. Boukas (Professor)

  3. Electrical Engineering Department, University of Sao Paulo, Sao Paulo, Brasil

    O. L. V. Costa (Professor)

Authors
  1. K. Benjelloun
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  2. E. K. Boukas
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  3. O. L. V. Costa
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Benjelloun, K., Boukas, E.K. & Costa, O.L.V. H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters. Journal of Optimization Theory and Applications 105, 73–95 (2000). https://doi.org/10.1023/A:1004661928043

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  • DOI: https://doi.org/10.1023/A:1004661928043

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