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H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities

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Authors
Zhang, Q.
Wang, G.
Liu, Wanquan
Zhang, Y.
Date
2010
Type
Conference Paper

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Zhang, Qinglink and Wang, Guoliang and Liu, Wanquan and Zhang, Yi. 2010. H∞ control of discrete-time Markovian jump systems with partly unknown transition probabilities, in Xu, H. and Yang, X. and Wei, W. (ed), Proceedings of the International Conference on Optimization and Control 2010, pp. 83-90. Guiyang, China: Guizhou University and Chongqing University.
Source Title
Proceedings of the International Conference on Optimization and Control 2010
Source Conference
International Conference on Optimization and Control 2010
School
Department of Computing
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Abstract

This paper discusses H∞ control problem for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. When some elements in transition matrix are inaccessible, another approach is proposed to estimate the unknown elements. The condition for the existenceof H∞ controller is expressed by linear matrix inequalities. Finally, illustrative examples are presented to show the validity of the proposed approaches.