H∞ Fault Estimation for 2-D Linear Discrete Time-Varying Systems Based on Krein Space Method

被引：47

作者：

Zhao, Dong ^{[1
]}

Wang, Youqing ^{[1
,2
]}

Li, Yueyang ^{[3
]}

Ding, Steven X. ^{[4
]}

机构：

[1] Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing 100029, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China

[3] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China

[4] Univ Duisburg Essen, Inst Automat Control & Complex Syst AKS, D-47057 Duisburg, Germany

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2018年 / 48卷 / 12期

基金：

中国国家自然科学基金;

关键词：

2-D systems; fault estimation; Krein space; Riccati-like difference equation; SWITCHED SYSTEMS; DELAY SYSTEMS; DESIGN; SENSOR; OBSERVERS; ACTUATOR; STABILITY;

D O I：

10.1109/TSMC.2017.2723623

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 addresses the finite horizon H-infinity fault estimation problem for 2-D linear discrete time-varying systems with bounded unknown input and measurement noise. The main contribution of this paper is the H-infinity fault estimator for 2-D systems with a necessary and sufficient existence condition. By introducing a partially equivalent stochastic dynamic system in Krein space, the necessary and sufficient condition for the existence of the H-infinity fault estimator is derived based on innovation analysis and projection formula in Krein space. Then, the solution of the estimator is achieved by means of a Riccati-like difference equation for 2-D systems. Finally, a thermal process example is given to demonstrate the effectiveness of the proposed method.

引用

页码：2070 / 2079

页数：10

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