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Robust stabilization of uncertain systems with unknown input delay. (English) Zbl 1034.93058

Summary: This paper is concerned with the robust controller design for uncertain input-delayed systems. The time delay is assumed to be an unknown constant. A controller with delay feedback for the robust stabilization of the system is proposed. The stability criterion of the closed-loop system is derived in terms of linear matrix inequalities (LMIs). Examples show that in many cases our method can give less conservative results than those obtained using the existing methods. Moreover, for the same cases, our controllers have lower feedback gains than the existing ones.

MSC:

93D21 Adaptive or robust stabilization
93C23 Control/observation systems governed by functional-differential equations
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