Robust H_∞ filtering for discrete-time impulsive systems with uncertainty  

作　　者：潘圣韬 孙继涛 

机构地区：[1]Department of Mathematics, Tongji University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第2期229-236,共8页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 60874027)

摘　　要：This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance. First, an impulsive linear filter and a robust H∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a sufficient condition of asymptotical stability and H∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities （LMIs）. Finally, a numerical example is presented to show effectiveness of the obtained result.This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance. First, an impulsive linear filter and a robust H∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a sufficient condition of asymptotical stability and H∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities （LMIs）. Finally, a numerical example is presented to show effectiveness of the obtained result.

关 键 词：DISCRETE-TIME IMPULSES robust H∞ filtering linear matrix inequalities 

分 类 号：O231.1[理学—运筹学与控制论]