Non-fragile robust control for singular systems with nonlinear perturbation and time-delay

Abstract

This paper is concerned with the non-fragile robust control problems for singular systems with nonlinear structured perturbation and delay. The perturbation is a continuous function of time and system state, and the Jacobi matrix of the function is norm-bounded. The aim is to design a non-fragile robust controller and a non-fragile robust guaranteed cost controller respectively. The sufficient conditions for the existence of the two controllers are given in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, explicit expressions of the two controllers are obtained respectively. An illustrative example is given to demonstrate the validity and applicability of the proposed approach.