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Persistent bounded disturbance rejection for discrete-time delay systems

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  • Magdi S. Mahmoud
  • Peng Shi

Abstract

In this article, we provide a novel solution to the problem of persistent bounded disturbance rejection in linear discrete-time systems with time-varying delays. The solution is developed based on the tools of invariant set analysis and Lyapunov-function method. As an integral part of the solution, we derive less conservative sufficient conditions on robust attractor for discrete-time systems with delays in terms of strict linear matrix inequalities to guarantee the desired ℓ1-performance. A robust state-feedback controller is designed and the associated gain is determined using strict LMIs. The developed results are tested on a representative example.

Suggested Citation

  • Magdi S. Mahmoud & Peng Shi, 2011. "Persistent bounded disturbance rejection for discrete-time delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(6), pages 921-930.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:921-930
    DOI: 10.1080/00207720903260150
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