Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy
A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/725674 |
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| _version_ | 1832549037989953536 |
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| author | Shih-Yu Li Shi-An Chen Chin-Teng Lin Li-Wei Ko Cheng-Hsiung Yang Heng-Hui Chen |
| author_facet | Shih-Yu Li Shi-An Chen Chin-Teng Lin Li-Wei Ko Cheng-Hsiung Yang Heng-Hui Chen |
| author_sort | Shih-Yu Li |
| collection | DOAJ |
| description | A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness. |
| format | Article |
| id | doaj-art-7162d0065a8240beb8d9b639d42edfb5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7162d0065a8240beb8d9b639d42edfb52025-02-03T06:12:22ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/725674725674Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling StrategyShih-Yu Li0Shi-An Chen1Chin-Teng Lin2Li-Wei Ko3Cheng-Hsiung Yang4Heng-Hui Chen5Brain Research Center, National Chiao Tung University, Hsinchu, TaiwanBrain Research Center, National Chiao Tung University, Hsinchu, TaiwanBrain Research Center, National Chiao Tung University, Hsinchu, TaiwanBrain Research Center, National Chiao Tung University, Hsinchu, TaiwanGraduate Institute of Automation and Control, National Taiwan University of Science and Technology, Taipei, TaiwanDepartment of Mechanical Engineering, Hsiuping University of Science and Technology, Taichung, TaiwanA novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.http://dx.doi.org/10.1155/2015/725674 |
| spellingShingle | Shih-Yu Li Shi-An Chen Chin-Teng Lin Li-Wei Ko Cheng-Hsiung Yang Heng-Hui Chen Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy Abstract and Applied Analysis |
| title | Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy |
| title_full | Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy |
| title_fullStr | Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy |
| title_full_unstemmed | Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy |
| title_short | Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy |
| title_sort | generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy |
| url | http://dx.doi.org/10.1155/2015/725674 |
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