PERSISTENT BOUNDED DISTURBANCE REJECTION FOR IMPULSIVE SYSTEMS WITH PARAMETRIC UNCERTAINTIES: AN LMI APPROACH

F. Hao, L.Wang, and T. Chu

Keywords

Impulsive systems, L1performance, persistent bounded disturbance, parameter uncertainties, linear matrix inequality

Abstract

The problem of persistent bounded disturbance rejection for linear impulsive systems with parametric uncertainties is considered by Lyapunov function and positively invariant set analysis method. A sufficient condition on robust internal stability and L1-performance of the impulsive systems is established in terms of linear matrix inequalities. Based on this result, a simple approach to design a linear state-feedback controller is presented to stabilize robustly the impulsive systems with uncertainties and to achieve a desired level of disturbance attenuation. A sufficient condition on the existence of a non-fragile state-feedback controller is also obtained. Two numerical examples are worked out to illustrate the feasibility and efficiency of the proposed approach.

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