ROBUST MIXED H_2/H_∞ CONTROLLER FOR UNCERTAIN NEUTRAL STATE-INPUT DELAYED SYSTEMS VIA LMI OPTIMIZATION APPROACH

摘要

In this paper, the problem of designing a robust mixed H_2/H_∞ 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_∞ 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_∞ controller which achieves the minimization of an upper bound of the closed-loop H_2 perforance measure.