Robust H∞ Filtering for Two-Dimensional Uncertain Linear Discrete Time-Varying Systems: A Krein Space-Based Method

被引:31
|
作者
Zhao, Dong [1 ]
Ding, Steven X. [1 ]
Karimi, Hamid Reza [2 ]
Li, Yueyang [3 ]
机构
[1] Univ Duisburg Essen, Inst Automat Control & Complex Syst AKS, D-47057 Duisburg, Germany
[2] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy
[3] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China
基金
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词
Filtering; Krein space; time-varying systems; two-dimensional (2-D) systems; uncertain systems; FAULT-DETECTION;
D O I
10.1109/TAC.2019.2908699
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A robust $H_\infty$ filtering algorithm is proposed for two-dimensional (2-D) linear uncertain time-varying systems in this study. The considered 2-D systems are subject to unknown inputs, measurement noises, and time-varying modeling uncertainties. To appropriately deal with the system uncertainties, a new problem formulation of robust $H_\infty$ filter design for 2-D uncertain systems is first presented by introducing an alternative indefinite quadratic performance function in lieu of the standard $H_\infty$ performance index. Then, the robust 2-D $H_\infty$ filter design is converted to an optimization problem of finding the positive minimum of the new indefinite quadratic performance function under certain conditions. By relating this quadratic form to a specific 2-D state-space model in Krein space, the Krein space estimation theory is used to solve the reformulated optimization problem. A recursive robust 2-D time-varying $H_\infty$ filter and its explicit condition for the existence are obtained through projection techniques in 2-D Krein space. One thermal process plant is used to illustrate the effectiveness of the proposed filter.
引用
收藏
页码:5124 / 5131
页数:8
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