Guaranteed Cost Control for Uncertain Linear Continuous-Time Systems Under Conrtol Gain Perturbations

Abstract

This paper deals with a design problem of guaranteed cost controllers for linear continuous-time systems with structured uncertainties which are included in both the system matrix and the input one under control gain perturbations. In this paper, we show that sufficient conditions for the existence of the robust non-fragile guaranteed cost controller are given in terms of linear matrix inequalities (LMIs). Also, a design method of an optimal robust non-fragile guaranteed cost controller which minimizes an upper bound on a given quadratic cost function is discussed. Finally, numerical examples are included to illustrate the results developed in this paper.