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On improved robust stabilization of uncertain systems with unknown input delay. (English) Zbl 1102.93033

Summary: This paper investigates the robust stabilization problem for uncertain systems with unknown input delay based on the reduction method. Two types of the unknown input delay are considered: one is constant; the other is continuous and may vary fast. Sufficient matrix inequalities conditions for stabilizability of such systems are derived via Lyapunov functionals and the descriptor system approach to time-delay systems. An algorithm involving convex optimization is proposed to design a delayed state feedback controller such that the system can be stabilized for all admissible uncertainties. Two illustrative examples are presented to show the effectiveness of the proposed algorithm.

MSC:

93D21 Adaptive or robust stabilization
93C15 Control/observation systems governed by ordinary differential equations
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References:

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