Delay-Dependent Robust Stabilization of Uncertain Linear State-Delayed Systems via Static Output Feedback

Abstract

This paper examines the problem of robust stabilization via static output feedback for a class of uncertain linear state-delayed systems. Systems with a constant time-delay and subject to norm-bo~nded parameter uncertainty in the state matrices of the ʻcurrentʼ and ʻdelayedʼ states and in the input matnx are considered. We develop a method of robust stabilization based. on linear matrix inequalities. The proposed design method incorporates information on the size, or an upper-bound, of the time-delay. The case ofsystems with polytopic uncertainty is also discussed.