关键词: H&infin, 滤波器, 切换系统, 平均驻留时间, Delta算子

Abstract: Robust H∞ filter for a class of parameter uncertain switched systems using Delta operator has been discussed. Based on multiple Lyapunov function theory and average dwell time, a sufficient condition for the existence of stability of the parameter uncertain Delta operator switched system is presented in terms of LMI, and the H∞ filter performance is analyzed. Furthermore, the sufficient existence conditions and designing method of robust H∞ filter are proposed. The designed robust H∞ filter not only guarantees the closed-loop system with uncertain parameter to be asymptotically stable, but also satisfies H∞ performance that expected. A simulation example is given to illustrate the effectiveness and feasibility of the proposed method.

Key words: H&infin, filter, switched system, average dwell time, Delta operator