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

Author

Listed:
  • K. Benjelloun

    (École Polytechnique de Montréal)

  • E. K. Boukas

    (École Polytechnique de Montréal)

  • O. L. V. Costa

    (University of Sao Paulo)

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.

Suggested Citation

  • K. Benjelloun & E. K. Boukas & O. L. V. Costa, 2000. "H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 73-95, April.
    • Handle: RePEc:spr:joptap:v:105:y:2000:i:1:d:10.1023_a:1004661928043
    DOI: 10.1023/A:1004661928043
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    Citations

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    Cited by:

    1. Quanxin Zhu & Fubao Xi & Xiaodi Li, 2012. "Robust Exponential Stability of Stochastically Nonlinear Jump Systems with Mixed Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 154-174, July.
    2. Yankai Li & Haibin Sun & Guangdeng Zong & Linlin Hou, 2017. "Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3186-3200, November.
    3. T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-Dependent Robust Stabilization and H ∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 100-120, October.
    4. Peng Shi & Yanyan Yin & Fei Liu, 2013. "Gain-Scheduled Worst-Case Control on Nonlinear Stochastic Systems Subject to Actuator Saturation and Unknown Information," Journal of Optimization Theory and Applications, Springer, vol. 156(3), pages 844-858, March.

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