GUARANTEED COST CONTROL FOR UNCERTAIN DISCRETE-TIME DELAYED SYSTEMS: A DELAY-DEPENDENT APPROACH

L. Zhang, Y. Chen, and P. Cui

Keywords

Guaranteed cost control, discretetime systems, memory state feedback, timedelay systems, linear matrix inequality

Abstract

This paper considers robust guaranteed cost control problem for uncertain linear discrete time-delay systems with state delays and a given quadratic cost function. By linear matrix inequality (LMI) approach, we obtain new delay-dependent sufficient conditions for the existence of a memory state feedback control law that includes current and delayed state information, and derive a parameterized characterization of the guaranteed cost controller. Furthermore, incorporating with a minimization problem can optimize the upper bound. A numerical example is given to show the potential of the proposed techniques.

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