Observer-based Guaranteed Cost Control for a Class of Singular Time-delay Systems with Uncertainties

Abstract

The problem of guaranteed cost observer-based controller design for a class of singular systems time-delay with uncertainties is investigated. The design method of guaranteed cost observer-based controller is given. Based on linear matrix inequality (LMI) approach, sufficient conditions for the existence of guaranteed cost observer-based state feedback control law and corresponding guaranteed cost performance index are obtained by constructing generalized Lyapunov function. It makes that the closed-loop system is robust stable. Keywords-Observer-based controller; guaranteed cost control; time-delay systems; linear matrix inequality I. INTRODUCTION The control of singular systems has been extensively studied in the past years(1-2). In (3-4), guaranteed cost control for uncertain systems are discussed. In (5-6), observer-based guaranteed cost control for singular time-delay systems with uncertainties are discussed, but the state matrices and the control input matrices are consistent with the original system. In this paper, we consider observer-based guaranteed cost control for a class of singular time-delay systems with uncertainties. The state matrices and the control input matrices are not consistent with the original system and are unknown in this paper. Based on linear matrix inequality (LMI) approach, sufficient conditions for the existence of guaranteed cost observer-based state feedback control law and corresponding guaranteed cost performance index are obtained by constructing generalized Lyapunov function. It makes that the closed-loop system is robust stable.