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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/192546 |
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| _version_ | 1832565207035019264 |
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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. |
| format | Article |
| id | doaj-art-e92e8d7f9144462b9cf8ff95bfc06557 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| 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 |
| work_keys_str_mv | AT yuanganwang stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel AT honglinyu stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel AT xiaohongzhang stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel AT dongli stabilityanalysisanddesignoftimevaryingnonlinearsystemsbasedonimpulsivefuzzymodel |