Robust dissipative filtering for continuous-time polytopic uncertain time-delay systems  

作　　者：吕灵灵 段广仁 吴爱国 

机构地区：[1]Center for Control Theory and Guidance Technology,Harbin Institute of Technology [2]Institute of Electric Power,North China Institute of Water Conservancy and Hydroelectric Power

出　　处：《Journal of Harbin Institute of Technology(New Series)》2010年第4期511-515,共5页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China ( Grant No 60710002,60974044);Self-planned Task of State Key Laboratory of Robotics and System( Grant No SKLRS200801A03)

摘　　要：This paper focuses on the problem of dissipative filtering for linear continuous-time polytopic uncertain time-delay systems. To obtain a stable and proper linear filter such that the filtering error system is strictly dissipative for all admissible uncertainties,a new dissipativity criterion which realizes separation between the Lyapunov matrices and the system dynamic matrices is firstly provided in terms of linear matrix inequalities ( LMI) . Then an LMI sufficient condition for the existence of a robust filter is established and a design procedure is proposed for this type of systems. One numerical example demonstrates less conservativeness of the proposed criterion,the other numerical example illustrates the validity of the proposed filter design.This paper focuses on the problem of dissipative filtering for linear continuous-time polytopic uncertain time-delay systems. To obtain a stable and proper linear filter such that the filtering error system is strictly dissipative for all admissible uncertainties, a new dissipativity criterion which realizes separation between the Lyapunov matrices and the system dynamic matrices is firstly provided in terms of linear matrix inequalities （LMI）. Then an LMI sufficient condition for the existence of a robust filter is established and a design procedure is proposed for this type of systems. One numerical example demonstrates less conservativeness of the proposed criterion, the other numerical example illustrates the validity of the proposed filter design.

关 键 词：DISSIPATIVITY FILTERING polytopic uncertainty LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]