H∞ Filtering for Stochastic Systems with Markovian Switching and Partly Unknown Transition Probabilities

被引:0
|
作者
Yucai Ding
Hong Zhu
Shouming Zhong
Yuping Zhang
Yong Zeng
机构
[1] University of Electronic Science and Technology of China,School of Automation Engineering
[2] University of Electronic Science and Technology of China,School of Mathematical Sciences
[3] University of Electronic Science and Technology of China,Key Laboratory for Neuroinformation of Ministry of Education
关键词
filtering; Markovian switching; Partly unknown transition probability; Distributed time-varying delays; Linear matrix inequalities (LMIs);
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学科分类号
摘要
This paper considers the H∞ filtering problem for stochastic systems. The systems under consideration involve Markovian switching, mode-dependent delays, Itô-type stochastic disturbance, distributed time-varying delays and partly unknown transition probabilities. Our aim is to design a full-order filter such that the corresponding filtering error system is stochastically stable and satisfies a prescribed H∞ disturbance attenuation level. By using a new Lyapunov–Krasovskii functional, sufficient conditions are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed main results.
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页码:559 / 583
页数:24
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