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

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...

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Main Authors: Wang, S., Zhang, G., Liu, Wanquan
Other Authors: Yi Huang
Format: Conference Paper
Published: IEEE 2010
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/30876
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author Wang, S.
Zhang, G.
Liu, Wanquan
author2 Yi Huang
author_facet Yi Huang
Wang, S.
Zhang, G.
Liu, Wanquan
author_sort Wang, S.
building Curtin Institutional Repository
collection Online Access
description 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.
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institution Curtin University Malaysia
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publishDate 2010
publisher IEEE
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spelling curtin-20.500.11937-308762017-01-30T13:22:04Z Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems Wang, S. Zhang, G. Liu, Wanquan Yi Huang Static Output Feedback Controller Discrete-Time - State-Space Symmetric Systems Dissipativity Analysis and Control H∞ NORM Positive Real 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. 2010 Conference Paper http://hdl.handle.net/20.500.11937/30876 IEEE fulltext
spellingShingle Static Output Feedback Controller
Discrete-Time - State-Space Symmetric Systems
Dissipativity Analysis and Control
H∞ NORM
Positive Real
Wang, S.
Zhang, G.
Liu, Wanquan
Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title_full Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title_fullStr Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title_full_unstemmed Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title_short Dissipative Analysis and Control of Discrete-time State-space Symmetric Systems
title_sort dissipative analysis and control of discrete-time state-space symmetric systems
topic Static Output Feedback Controller
Discrete-Time - State-Space Symmetric Systems
Dissipativity Analysis and Control
H∞ NORM
Positive Real
url http://hdl.handle.net/20.500.11937/30876