Reliable H∞ filter design for a class of discrete-time nonlinear systems with time-varying delay

被引：28

作者：

Guo, Xiang-Gui ^{[1
,2
]}

Yang, Guang-Hong ^{[1
,2
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China

[2] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Liaoning, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2010年 / 31卷 / 04期

关键词：

H-infinity filtering; reliable filtering; Lyapunov-Krasovskii function; time delays; sensor failure; linear matrix inequality;

D O I：

10.1002/oca.906

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 paper is concerned with the reliable H-infinity filtering problem against sensor failures for a class of discrete-time systems with simultaneous sector-bounded nonlinearities and time-varying delay. The purpose of the paper is to design a filter such that the filtering error systems are asymptotically stable and meet the prescribed H-infinity norm constraint in normal case as well as in sensor failure case. Sufficient delay-dependent conditions for the existence of such a filter are obtained by using appropriate Lyapunov-Krasovskii functional and linear matrix inequality techniques. Moreover, we adopt the slack variable method to realize the decoupling between the Lyapunov matrix and the system dynamic nuances, which makes us enable to adopt different Lyapunov matrices for the normal and the sensor failure cases, respectively. Numerical examples are also provided to demonstrate the effectiveness of the proposed methods. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：303 / 322

页数：20

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