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

Magdi S. Mahmoud

Mathematical Problems in Engineering, 2001, vol. 7, 1-20

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:735601

DOI: 10.1155/S1024123X01001703

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