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

作者：Sun Qiu Ye^*; Zhang Hua Guang; Zhao Yan

来源：Chinese Physics B, 2010, 19(7): 070512.

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

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.

• 出版日期2010-7
• 单位东北大学; 沈阳工程学院