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Robust stability and ℋ ∞ -estimation for uncertain discrete systems with state-delay

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  • Magdi S. Mahmoud

Abstract

In this paper, we investigate the problems of robust stability and ℋ ∞ -estimation for a class of linear discrete-time systems with time-varying norm-bounded parameter uncertainty and unknown state-delay. We provide complete results for robust stability with prescribed performance measure and establish a version of the discrete Bounded Real Lemma. Then, we design a linear estimator such that the estimation error dynamics is robustly stable with a guaranteed ℋ ∞ -performance irrespective of the parameteric uncertainties and unknown state delays. A numerical example is worked out to illustrate the developed theory.

Suggested Citation

  • Magdi S. Mahmoud, 2001. "Robust stability and â„‹ ∞ -estimation for uncertain discrete systems with state-delay," Mathematical Problems in Engineering, Hindawi, vol. 7, pages 1-20, January.
    • Handle: RePEc:hin:jnlmpe:735601
    DOI: 10.1155/S1024123X01001703
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