Robust non-fragile control for non-linear singular discrete systems with time-delay

This paper mainly studies the problem of designing a non-fragile robust controller for a class of singular discrete non-linear systems with delayed state and uncertainties. Based on Lyapunov stability theory and linear matrix inequality (LMI), LMI-based sufficient condition for the singular discrete nonlinear systems to have robust performance is derived. The condition enables us to determine robust stability of time-delay uncertain singular systems easily by solving the LMI. Furthermore, the non-fragile controller is designed to guarantee that the closed loop system is regular, causal and stable for a class of singular discrete non-linear systems. This new non-fragile control approaches can yield less conservative result than the simultaneous stability approaches. At last, a numerical example is included to illustrate the efficiency o f the proposed approaches in this paper.