Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control

doi:10.1088/1674-1056/19/7/070512

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70512-070512.doi: 10.1088/1674-1056/19/7/070512

Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control

孙秋野¹, 张化光², 赵琰³

(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

收稿日期:2009-12-21 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
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).

Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control

Sun Qiu-Ye(孙秋野)^a)†ger, Zhang Hua-Guang(张化光)^a)b), and Zhao Yan(赵琰)^c)

^a College of Information Science and Engineering, Northeastern University, Shenyang 110004, China; ^b Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University,Shenyang 110004, China; ^c Department of Automatic Control Engineering, Shenyang Institute of Engineering, Shenyang 110136, China

Received:2009-12-21 Online:2010-07-15 Published:2010-07-15
Supported by:
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).

摘要/Abstract

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 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.

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.

Key words: chaotification, T--S fuzzy model, time-delay feedback, Li--Yorke chaos

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

07.05.Mh (Neural networks, fuzzy logic, artificial intelligence) 07.05.Dz (Control systems)

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.

Sun Qiu-Ye(孙秋野), Zhang Hua-Guang(张化光), and Zhao Yan(赵琰). Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control[J]. Chin. Phys. B, 2010, 19(7): 70512-070512.

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Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control

Generating Li—Yorke chaos in a stable continuous-time T—S fuzzy model via time-delay feedback control

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