Robust H-infinity filtering for uncertain discrete-time systems using parameter-dependent Lyapunov functions  

作　　者：Xiaoheng CHANG Guanghong YANG 

机构地区：[1]College of Engineering, Bohai University [2]Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and College of Information Science and Engineering, Northeastern University

出　　处：《控制理论与应用（英文版）》2013年第1期122-127,共6页

基　　金：supported by the Scientific Research Program for the Education Department of Liaoning Province of China (No.2008017);the Postdoctoral Science Foundation of China (No. 20090451275);the Funds of National Science of China (No. 61104071)

摘　　要：This paper deals with H-infinity filtering of discrete-time systems with polytopic uncertainties. The un- certain parameters are supposed to reside in a polytope. By using the parameter-dependent Lyapunov function approach and introducing some slack matrix variables, a new sufficient condition for the H-infinity filter design is presented in terms of solutions to a set of linear matrix inequalities （LMIs）. In contrast to the existing results for H-infinity filter design, the main advantage of the proposed design method is the reduced conservativeness. An example is provided to demonstrate the effectiveness of the proposed method.This paper deals with H-infinity filtering of discrete-time systems with polytopic uncertainties. The un- certain parameters are supposed to reside in a polytope. By using the parameter-dependent Lyapunov function approach and introducing some slack matrix variables, a new sufficient condition for the H-infinity filter design is presented in terms of solutions to a set of linear matrix inequalities （LMIs）. In contrast to the existing results for H-infinity filter design, the main advantage of the proposed design method is the reduced conservativeness. An example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：Discrete-time systems H-infinity filtering Parameter-dependent Lyapunov function Linear matrix in- equalities （LMIs） 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]