Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems

Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems

This paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the L...

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Main Authors: Yan Zhao, Tieyan Zhang, Dan Zhao, Cunxu Wang, Miao LI
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/490174
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spelling doaj-22dc8307b3de4143bd2d3425624c6f562020-11-24T22:00:36ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/490174490174Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional SystemsYan Zhao0Tieyan Zhang1Dan Zhao2Cunxu Wang3Miao LI4School of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Renewable Energy, Shenyang Institute of Engineering, Shenyang, Liaoning 110136, ChinaSchool of Engineering and Information Technology, Murdoch University, Perth, WA 6150, AustraliaThis paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the Lyapunov stability theory, stabilization conditions is proposed in with the purpose of ensuring the robust asymptotical stability of the underlying closed-loop uncertain Roesser-type discrete-time 2D systems. Furthermore, the obtained result of this paper is formulated in the form of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to demonstrate the effectiveness of the proposed result.http://dx.doi.org/10.1155/2014/490174
collection DOAJ
language English
format Article
sources DOAJ
author Yan Zhao
Tieyan Zhang
Dan Zhao
Cunxu Wang
Miao LI
spellingShingle Yan Zhao
Tieyan Zhang
Dan Zhao
Cunxu Wang
Miao LI
Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
Mathematical Problems in Engineering
author_facet Yan Zhao
Tieyan Zhang
Dan Zhao
Cunxu Wang
Miao LI
author_sort Yan Zhao
title Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
title_short Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
title_full Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
title_fullStr Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
title_full_unstemmed Control Synthesis of Uncertain Roesser-Type Discrete-Time Two-Dimensional Systems
title_sort control synthesis of uncertain roesser-type discrete-time two-dimensional systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description This paper is concerned with control synthesis of uncertain Roesser-type discrete-time two-dimensional (2D) systems. The mathematical model of the 2D system’s parameter uncertainty, which may appear typically in many actual environment, is modeled as a convex bounded uncertain domain. By using the Lyapunov stability theory, stabilization conditions is proposed in with the purpose of ensuring the robust asymptotical stability of the underlying closed-loop uncertain Roesser-type discrete-time 2D systems. Furthermore, the obtained result of this paper is formulated in the form of linear matrix inequalities (LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to demonstrate the effectiveness of the proposed result.
url http://dx.doi.org/10.1155/2014/490174
work_keys_str_mv AT yanzhao controlsynthesisofuncertainroessertypediscretetimetwodimensionalsystems
AT tieyanzhang controlsynthesisofuncertainroessertypediscretetimetwodimensionalsystems
AT danzhao controlsynthesisofuncertainroessertypediscretetimetwodimensionalsystems
AT cunxuwang controlsynthesisofuncertainroessertypediscretetimetwodimensionalsystems
AT miaoli controlsynthesisofuncertainroessertypediscretetimetwodimensionalsystems
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