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Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems

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Open access
Authors
Wang, S.
Zhang, G.
Liu, Wanquan
Date
2010
Type
Conference Paper

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Citation
Wang, Shuping and Zhang, Guoshan and Liu, Wanquan. 2010. Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems, 2010, in Huang, Y. (ed), 29th Chinese Control Conference, Jul 29 2010, pp. 2010-2015. Beijing, China: Beihang University Press.
Source Title
Proceedings of the 29th Chinese Control Conference
Source Conference
2010 29th Chinese Control Conference
ISBN
School
Department of Computing
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Abstract

In this paper, the problem of dissipativity analysis and output feedback control synthesis for discrete linear timeinvariant systems with state-space symmetry is investigated. Firstly, an explicit expression of H8 norm for discrete-time symmetric system is given under the mixed H8 and positive real performance criterion, and this is a particular case of dissipative systems. Subsequently, we consider the control synthesis problems for such systems and obtain an explicit parameterized expression of the static output feedback controllers. Finally, two numerical examples are employed to show the effectiveness and reliableness of the proposed approach.