Robust filtering design for nonlinear impulsive switched systems

The problem of robust filters synthesis for nonlinear impulsive switched systems is investigated. Attention is focused on designing the robust filter to guarantee the weight l₂ performance for a prescribed disturbance. With the aid of multiple Lya-punov functions and Projection Lemma, the condition is given in the framework of linear matrix inequality (LMI), furthermore, the filter gains are characterized by a convex optimization problem. Finally, an example is given to illustrated the effectiveness of the proposed method.