Sevorel Conclusions of Guaranteed Cost for Uncertain Discrete Singular System

Abstract

In this papar we research the guaranteed cost control for a class of norm bounded uncertain discrete singular systems was considered in this paper. The objective is to design state-feedback controllers such that the closed-loop systems is regular, causal, stable and the corresponding cost function have a certain upper bound minimized for all admissible uncertainties. Two sufficient conditions for the existence of state-feedback guaranteed cost controllers are obtained in terms of algebraic Riccati equation and linear matrix inequalities, respectively. And the numerical examples show the validity of our inclusion.