| Generating Li-Yorke chaos in a stable continuous-time T-S fuzzy model via time-delay feedback control |
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| 引用本文： | 孙秋野,张化光,赵琰. Generating Li-Yorke chaos in a stable continuous-time T-S fuzzy model via time-delay feedback control[J]. 中国物理 B, 2010, 19(7): 70512-070512. DOI: 10.1088/1674-1056/19/7/070512 |
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| 作者姓名： | 孙秋野 张化光 赵琰 |
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| 作者单位： | (1)College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2)College of Information Science and Engineering, Northeastern University, Shenyang 110004, China;Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University,Shenyang 110004, China; (3)Department of Automatic Control Engineering, Shenyang Institute of Engineering, Shenyang 110136, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 60904101, 60972164 and 60904046), the Fundamental Research Funds for the Central Universities (Grant No. N090404009) and the Research Foundation of Education Bureau of Liaoning Province, China (Grant No. 2009A544). |
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| 摘 要： | This paper investigates the chaotification problem of a stable continuous-time T-S fuzzy system.A simple nonlinear state time-delay feedback controller is designed by parallel distributed compensation technique.Then,the asymptotically approximate relationship between the controlled continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system is established.Based on the discrete-time T-S fuzzy system,it proves that the chaos in the discretetime T-S fuzzy system satisfies the Li-Yorke definition by choosing appropriate controller parameters via the revised Marotto theorem.Finally,the effectiveness of the proposed chaotic anticontrol method is verified by a practical example.
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| 关 键 词： | chaotification T-S fuzzy model time-delay feedback Li-Yorke chaos |
| 收稿时间： | 2009-12-21 |
Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control |
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| Sun Qiu-Ye,Zhang Hua-Guang and Zhao Yan. Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control[J]. Chinese Physics B, 2010, 19(7): 70512-070512. DOI: 10.1088/1674-1056/19/7/070512 |
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| Authors: | Sun Qiu-Ye Zhang Hua-Guang Zhao Yan |
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| Affiliation: | College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University,Shenyang 110004, China; Department of Automatic Control Engineering, Shenyang Institute of Engineering, Shenyang 110136, China |
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| Abstract: | This paper investigates the chaotification problem of a stable continuous-time T—S fuzzy system. A simple nonlinear state time-delay feedback controller is designed by parallel distributed compensation technique. Then, the asymptotically approximate relationship between the controlled continuous-time T—S fuzzy system with time-delay and a discrete-time T—S fuzzy system is established. Based on the discrete-time T—S fuzzy system, it proves that the chaos in the discrete-time T—S fuzzy system satisfies the Li—Yorke definition by choosing appropriate controller parameters via the revised Marotto theorem. Finally, the effectiveness of the proposed chaotic anticontrol method is verified by a practical example. |
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| Keywords: | chaotification T--S fuzzy model time-delay feedback Li--Yorke chaos |
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