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

作　　者：孙秋野 张化光 赵琰 

机构地区：[1]College of Information Science and Engineering,Northeastern University [2]Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University [3]Department of Automatic Control Engineering,Shenyang Institute of Engineering

出　　处：《Chinese Physics B》2010年第7期141-149,共9页中国物理B（英文版）

基　　金：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);the Research Foundation of Education Bureau of Liaoning Province,China (Grant No. 2009A544)

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.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.

关 键 词：CHAOTIFICATION T-S fuzzy model time-delay feedback Li Yorke chaos 1 

分 类 号：O415.5[理学—理论物理]