Persistent bounded disturbance rejection for discrete-time delay systems

Magdi S. Mahmoud and Peng Shi

International Journal of Systems Science, 2011, vol. 42, issue 6, 921-930

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.

Date: 2011
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DOI: 10.1080/00207720903260150

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