Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect...

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Main Authors: Shipei Huang, Zhengrong Xiang, Hamid Reza Karimi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/961870
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author Shipei Huang
Zhengrong Xiang
Hamid Reza Karimi
author_facet Shipei Huang
Zhengrong Xiang
Hamid Reza Karimi
author_sort Shipei Huang
collection DOAJ
description This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.
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institution OA Journals
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-9ba170bd01404f028b218c978f9bc8962025-08-20T02:18:27ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/961870961870Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous SwitchingShipei Huang0Zhengrong Xiang1Hamid Reza Karimi2School of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayThis paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/961870
spellingShingle Shipei Huang
Zhengrong Xiang
Hamid Reza Karimi
Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
Abstract and Applied Analysis
title Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
title_full Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
title_fullStr Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
title_full_unstemmed Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
title_short Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
title_sort stabilization and controller design of 2d discrete switched systems with state delays under asynchronous switching
url http://dx.doi.org/10.1155/2013/961870
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AT zhengrongxiang stabilizationandcontrollerdesignof2ddiscreteswitchedsystemswithstatedelaysunderasynchronousswitching
AT hamidrezakarimi stabilizationandcontrollerdesignof2ddiscreteswitchedsystemswithstatedelaysunderasynchronousswitching