Robust H-infinity filtering for time-delaysystems with missing measurements:a parameter-dependent approach

作     者：Xiao HE Donghua ZHOU 

作者机构：Department of Automation Tsinghua University Beijing 100084 China 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2007年第5卷第4期

页      面：336-344页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：This work was supported by the National Natural Science Foundation of China(No.60574084) the National 863 Project(No.2006AA04Z428) the National 973 Program of China(No.2002CB312200) 

主　　题：Robust H-infinity filtering Polytopic uncertainties Missing measurements Time-delays Parameter de-pendent Linear matrix inequalities (LMIs) 

摘      要：Robust H-infinity filtering for a class of uncertain discrete-time linear systems with time delays and missing measurements is studied in this paper. The uncertain parameters are supposed to reside in a convex polytope and the missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Our attention is focused on the analysis and design of robust H-infinity filters such that, for all admissible parameter uncertainties and all possible missing measurements, the filtering error system is exponentially mean-square stable with a prescribed H-infinity disturbance attenuation level. A parameter-dependent approach is proposed to derive a less conservative result. Sufficient conditions are established for the existence of the desired filter in terms of certain linear matrix inequalities （LMIs）. When these LMIs are feasible, an explicit expression of the desired filter is also provided. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed method.