一类不确定混沌系统的自适应模糊同步控制

摘要

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.%针对一类带有未知非线性函数、参数和外界干扰的混沌系统,通过将一个时变参数引入到带有非线性后件的T-S模糊逻辑系统中,结合自适应方法对未知参数进行在线估计,完成了自适应模糊同步控制器的设计,并实现了驱动-响应混沌系统的渐近同步.一般而言,带有非线性后件的T-S模糊逻辑系统具有更高的逼近能力,可用更少的规则去逼近主从系统中的未知非线性函数,且在同步控制器的设计过程中,参数自适应律的个数与模糊规则的个数无关.因此,该同步方法不仅减少了在线运算量,而且通过直觉推理生成规则少、解释性强的模糊逻辑系统具有更广泛的应用.最后所给数值仿真算例说明了该方法的有效性.