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

Zhang, Q.; Wang, G.; Liu, Wanquan; Zhang, Y.

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Authors

Date

2010

Type

Conference Paper

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Citation

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

URI

http://hdl.handle.net/20.500.11937/25561

Collection

Curtin Research Publications

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.