Constrained robust guaranteed cost control for uncertain linear time-delay system

Abstract

This paper is concerned with constrained robust guaranteed cost control for uncertain linear time-delay systems using a linear matrix inequality (LMI) approach. Provided with necessary conditions, the problem considered is to design a static state feedback controller for a class of linear uncertain time-delay systems such that the following three goals are achieved simultaneously: 1) the closed-loop systems with this controller are robustly stable; 2) a given quadratic performance index for the systems is guaranteed to be below a known upper bound; and 3) the control input is norm bounded. We show that the solvability of the addressed problem is implied by the feasibility of some linear matrix inequalities.