Robust mixed H2/H∞ delayed state feedback control of uncertain neutral systems with time‐varying delays

This paper considers the problem of robust mixed H2/H∞ delayed state feedback control for a class of uncertain neutral systems with time-varying discrete and distributed delays. Based on the Lyapunov–Krasovskii functional theory, new required sufficient conditions are established in terms of delay-range-dependent linear matrix inequalities for the stability and stabilization of the considered system using some free matrices. The desired robust mixed H2/H∞ delayed state feedback control is derived based on a convex optimization method such that the resulting closed-loop system is asymptotically stable and satisfies H2 performance with a guaranteed cost and a prescribed level of H∞ performance, simultaneously. Finally, a numerical example is given to illustrate the effectiveness of our approach. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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