Persistent bounded disturbance rejection for impulsive systems

The problem of persistent bounded disturbance rejection for impulsive systems is concerned through invariant set analysis using the Lyapunov function method. Conditions on robust attractor for impulsive systems are given in terms of linear matrix inequalities (LMIs), which ensure the desired L/sub 1/-performance. Based on the results, a simple approach to the design of a robust controller is presented. Finally, a numerical example is worked out to illustrate the theoretical results.