Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model

This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major contro...

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Main Authors: Yuangan Wang, Honglin Yu, Xiaohong Zhang, Dong Li
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/192546
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author Yuangan Wang
Honglin Yu
Xiaohong Zhang
Dong Li
author_facet Yuangan Wang
Honglin Yu
Xiaohong Zhang
Dong Li
author_sort Yuangan Wang
collection DOAJ
description This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-e92e8d7f9144462b9cf8ff95bfc065572025-02-03T01:09:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/192546192546Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy ModelYuangan Wang0Honglin Yu1Xiaohong Zhang2Dong Li3Key Laboratory of Optoelectronic Technology and Systems of Education Ministry of China, Chongqing University, Chongqing 400030, ChinaKey Laboratory of Optoelectronic Technology and Systems of Education Ministry of China, Chongqing University, Chongqing 400030, ChinaSchool of Software Engineering, Chongqing University, Chongqing 400030, ChinaSchool of Mathematics & Statistics, Chongqing University, Chongqing 400030, ChinaThis paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends conventional T-S fuzzy model. In the proposed, model impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2012/192546
spellingShingle Yuangan Wang
Honglin Yu
Xiaohong Zhang
Dong Li
Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
Discrete Dynamics in Nature and Society
title Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
title_full Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
title_fullStr Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
title_full_unstemmed Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
title_short Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model
title_sort stability analysis and design of time varying nonlinear systems based on impulsive fuzzy model
url http://dx.doi.org/10.1155/2012/192546
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AT honglinyu stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel
AT xiaohongzhang stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel
AT dongli stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel