Adaptive Fuzzy Synchronization Control for a Class of Uncertain Chaotic Systems
GAO Zilin1,2, WANG Yinhe1
1.School of Automation, Guangdong University of Technology, Guangzhou, 510006, China; 2.School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, 404100, China
Abstract：For a class of chaotic systems with unknown nonlinear functions, parameters and disturbances, by employing a time-varying parameter into T-S fuzzy logic systems with nonlinear consequents (T-S-FLS-NRC), the adaptive fuzzy synchronization controller is designed based on the online estimation of parameters by the adaptive method, and the asymptotical synchronization of drive-response chaotic systems is achieved. Generally speaking, T-S-FLS-NRC has higher approximation ability, and we can use the fewer fuzzy rules to approximate the unknown nonlinearities in master and slave systems. Moreover, the number of parameter adaptive laws is not related with the number of fuzzy rules during the process of designing the synchronization controller. Therefore, the synchronization method in this paper is able not only to reduce the on-line computational burden significantly but also to be broader applications for the fuzzy logic systems with few fuzzy rules and high interpretability by using intuition inferences. Finally, the simulations show the validity of the method in this paper.
高子林, 王银河. 一类不确定混沌系统的自适应模糊同步控制[J]. 复杂系统与复杂性科学, 2017, 14(4): 79-88.
GAO Zilin, WANG Yinhe. Adaptive Fuzzy Synchronization Control for a Class of Uncertain Chaotic Systems. Complex Systems and Complexity Science, 2017, 14(4): 79-88.
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