Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI
This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/948590 |
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| _version_ | 1832565442359590912 |
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| author | Neng-Sheng Pai Her-Terng Yau |
| author_facet | Neng-Sheng Pai Her-Terng Yau |
| author_sort | Neng-Sheng Pai |
| collection | DOAJ |
| description | This paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to enforce the prespecified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme. |
| format | Article |
| id | doaj-art-4a7934f3f8404b3f989ba86715368087 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4a7934f3f8404b3f989ba867153680872025-02-03T01:07:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/948590948590Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMINeng-Sheng Pai0Her-Terng Yau1Department of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41101, TaiwanDepartment of Electrical Engineering, National Chin-Yi University of Technology, Taichung 41101, TaiwanThis paper focuses on the chaos control problem of the unified chaotic systems with structured uncertainties. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to enforce the prespecified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.http://dx.doi.org/10.1155/2010/948590 |
| spellingShingle | Neng-Sheng Pai Her-Terng Yau Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI Discrete Dynamics in Nature and Society |
| title | Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI |
| title_full | Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI |
| title_fullStr | Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI |
| title_full_unstemmed | Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI |
| title_short | Robust Exponential Converge Controller Design for a Unified Chaotic System with Structured Uncertainties via LMI |
| title_sort | robust exponential converge controller design for a unified chaotic system with structured uncertainties via lmi |
| url | http://dx.doi.org/10.1155/2010/948590 |
| work_keys_str_mv | AT nengshengpai robustexponentialconvergecontrollerdesignforaunifiedchaoticsystemwithstructureduncertaintiesvialmi AT herterngyau robustexponentialconvergecontrollerdesignforaunifiedchaoticsystemwithstructureduncertaintiesvialmi |