A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions

Abstract

In this paper, we consider the H-infinity optimal control problem for a class of impulsivedynamical systems with time-varying uncertainty. Based on the linear matrix inequalityapproach, we derive the sufficient conditions to ensure both internal asymptotical stability andH-infinity optimal performance of the impulsive closed-loop system and present acorresponding linear time-invariant stabilizing control law. Finally, a numerical example isgiven to illustrate the effectiveness of the feedback control law.