Robust mixed H2/H∞ controller for uncertain neutral state-input, delayed systems via LMI optimization approach

In this paper, the problem of designing a robust mixed H-2/H-infinity controller for a class of uncertain neutral state-input delays system is considered. Based on Lyapunov-Krasovskii functional theory, a delay-dependent criterion is derived for the existence of a desired mixed H-2/H-infinity controller, which can be easily constructed by certain feasible linear matrix inequalities (LMIs). Furthermore, a convex optimization problem is formulated to solve for a robust mixed H-2/H-infinity controller which achieves the minimization of an upper bound of the closed-loop H-2 performnce measure.