Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations

Abstract

This paper considers the problems of robust non-fragile control for uncertain discrete-delay large-scale systems under state feedback gain variations. Two classes of controller gain variations are considered. Based on the Lyapunov method, the state feedback control design for robust stability is given in terms of solutions to a linear matrix inequality (LMI). The solutions of the LMI can be easily obtained using efficient convex optimization techniques. A numerical example is included to illustrate the design procedures.