H∞ Filtering for Discrete-Time State-Delayed Systems With Finite Frequency Specifications

被引：131

作者：

Gao, Huijun ^{[1
,2
]}

Li, Xianwei ^{[2
]}

机构：

[1] Harbin Inst Technol, State Key Lab Urban Water Resources & Environm, Harbin 150090, Peoples R China

[2] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Discrete-time system; finite frequency (FF); H-infinity filtering; state delay; LINEAR-SYSTEMS; DESIGN; MATRIX; INEQUALITY; STABILITY;

D O I：

10.1109/TAC.2011.2159909

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article researches the problem of finite frequency (FF) H-infinity filtering for linear discrete-time state-delayed systems. The disturbance is assumed to reside in low/middle/high frequency ranges. To reduce the conservatism of the results, delay-partitioning idea is used to derive a new FF bounded real lemma (BRL). By applying the generalized Kalman-Yakubovich-Popov lemma, two equivalent approaches to the proof of the proposed FF BRL are given, respectively, starting from transfer function and Lyapunov-Krasovskii functional. A new FF H-infinity filter design method is proposed in terms of solving a set of linear matrix inequalities. Finally, a numerical example clearly demonstrates the merits and effectiveness of the proposed method.

引用

页码：2932 / 2939

页数：8

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