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Robust state-feedback control for discrete-time descriptor systems with norm-bounded parametric uncertainties

Alexey A. Belov and Olga G. Andrianova

International Journal of Systems Science, 2019, vol. 50, issue 6, 1303-1312

Abstract: This paper deals with a state feedback $\mathcal {H}_{\infty } $H∞ control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical examples are included to illustrate the effectiveness of the present result.

Date: 2019
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DOI: 10.1080/00207721.2019.1599079

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