Generalization of Guaranteed Cost Control

Abstract

Chang and Peng proposed a disign procedure of state-feedback systems that guarantees a certain level of linear-quadratic cost for all admissible perturbations. This is called guaranteed cost control. But they considered the case when an input matrix has special perturbations and guaranteed the existence of a controller only for a restricted class of sytems. This paper deals with the case when an input matrix has more general perturbations. Firstly, a suffcient condition for robust stabilization is given. Secondly, in contrast to Chang and Peng method, on the basis of a linear upper bound, it is shown that there exists a controller under some reasonable assumptions.