Robust H-infinity filter for a class of polytopic Delta operator systems  

作　　者：Ying ZHANG Rui ZHANG 

机构地区：[1]Shenzhen Graduate School, Harbin Institute of Technology [2]Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences

出　　处：《控制理论与应用（英文版）》2013年第2期255-260,共6页

基　　金：supported by National Nature Science Foundation of China(No.60904031);the Specialized Research Fund for the Doctoral Program of Higher Education(No.0122302120069);the Basic Research Plan in Shenzhen City(No.JC201105160564A);the Project for Distinguished Young Scholars of the Basic Research Plan in Shenzhen City(No.JC201105160583A);the Fundamental Research Funds for the Central Universities(No.HIT.NSRIF.2011129);the Key Lab of Wind Power and Smart Grid in Shenzhen City(No.CXB201005250025A)

摘　　要：This study deals with the robust H-infinity filtering for a class of Delta operator systems with polytopic uncertainties. By the aid of introducing two slack matrices to eliminate the coupling between systems matrices and Lya- punov matrices, an improved version of the bounded real lemma is given via linear matrix inequality formulation, which shows a close correspondence between the continuous- and discrete-time H-infinity performance criterion. Based on it, the existence condition of the desired filter is obtained such that the corresponding filtering error system is asymptotically stable with a guaranteed performance index. A numerical example is employed to illustrate the feasibility and advantages of the orooosed design.This study deals with the robust H-infinity filtering for a class of Delta operator systems with polytopic uncertainties. By the aid of introducing two slack matrices to eliminate the coupling between systems matrices and Lya- punov matrices, an improved version of the bounded real lemma is given via linear matrix inequality formulation, which shows a close correspondence between the continuous- and discrete-time H-infinity performance criterion. Based on it, the existence condition of the desired filter is obtained such that the corresponding filtering error system is asymptotically stable with a guaranteed performance index. A numerical example is employed to illustrate the feasibility and advantages of the orooosed design.

关 键 词：Robust H-infinity filtering Linear matrix inequality Polytopic uncertainty H-infinity performance 

分 类 号：O231[理学—运筹学与控制论]