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

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.

Keywords: chaotification T--S fuzzy model time-delay feedback Li--Yorke chaos

Received: 21 December 2009
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	07.05.Mh	(Neural networks, fuzzy logic, artificial intelligence)
	07.05.Dz	(Control systems)

Fund: 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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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 2010 Chin. Phys. B 19 070512

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

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