Abstract

AbstractThe problem of robust stabilization for uncertain discrete singular time‐delay systems is investigated. The considered systems are subject to norm‐bounded parameter uncertainties and constant time delay. A linear matrix inequality (LMI) condition is proposed for a discrete singular time‐delay system to be regular, causal and stable. With this condition, the problems of robust stability and stabilization are solved. The obtained results are formulated in terms of strict LMIs. An explicit expression of the desired state‐feedback control law is also given, which involves no matrix decomposition. The proposed synthesis method is illustrated by a numerical example. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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