Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference
A technique which increased the dimension of slave system is adopted for robust synchronization of chaotic systems with unknown phase difference. The phase difference plays a great role in variation of dynamic behavior of the coupled systems. The phase difference of the sinusoidal forcing term is al...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/524602 |
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| _version_ | 1850214375255703552 |
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| author | Huanhuan Mai Weiwei Zhang Yapeng Zhao |
| author_facet | Huanhuan Mai Weiwei Zhang Yapeng Zhao |
| author_sort | Huanhuan Mai |
| collection | DOAJ |
| description | A technique which increased the dimension of slave system is adopted for robust synchronization of chaotic systems with unknown phase difference. The phase difference plays a great role in variation of dynamic behavior of the coupled systems. The phase difference of the sinusoidal forcing term is always assumed to be known in the majority of the existing literature. However, unknown parameter error value has always existed in real problems. This method uses the properties of the triangular function and increases the number of dimensions in the slave system to match the phase of forcing term in the master system. Numerical simulations show that the flexible control variable we first investigated is very important. We expect our results to be of some broader applicabilities. |
| format | Article |
| id | doaj-art-85d7fe03339d426ba6eec504f89da4c8 |
| institution | OA Journals |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-85d7fe03339d426ba6eec504f89da4c82025-08-20T02:08:56ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/524602524602Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase DifferenceHuanhuan Mai0Weiwei Zhang1Yapeng Zhao2Department of Computer Science and Engineering, Chongqing University, Chongqing 400030, ChinaDepartment of Computer Science and Engineering, Chongqing University, Chongqing 400030, ChinaDepartement of Logistics Engineering, Wuhan University of Technology, Hubei 430070, ChinaA technique which increased the dimension of slave system is adopted for robust synchronization of chaotic systems with unknown phase difference. The phase difference plays a great role in variation of dynamic behavior of the coupled systems. The phase difference of the sinusoidal forcing term is always assumed to be known in the majority of the existing literature. However, unknown parameter error value has always existed in real problems. This method uses the properties of the triangular function and increases the number of dimensions in the slave system to match the phase of forcing term in the master system. Numerical simulations show that the flexible control variable we first investigated is very important. We expect our results to be of some broader applicabilities.http://dx.doi.org/10.1155/2011/524602 |
| spellingShingle | Huanhuan Mai Weiwei Zhang Yapeng Zhao Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference Journal of Control Science and Engineering |
| title | Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference |
| title_full | Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference |
| title_fullStr | Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference |
| title_full_unstemmed | Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference |
| title_short | Slave System Dimension Expansion Approach for Robust Synchronization of Chaotic Systems with Unknown Phase Difference |
| title_sort | slave system dimension expansion approach for robust synchronization of chaotic systems with unknown phase difference |
| url | http://dx.doi.org/10.1155/2011/524602 |
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