基于自适应模糊滑模控制的分数阶混沌系统的投影同步

基于模糊控制理论和滑模控制理论以及自适应控制理论,研究了一类含有外部扰动的不确定分数阶混沌系统的混合投影同步问题.提出了一种自适应模糊滑模控制的分数阶混沌系统投影同步方法.模糊逻辑系统用来逼近未知的非线性函数和外部扰动,并且对逼近误差采用了自适应控制,同时构造了一种具有较强鲁棒性的分数阶积分滑模面.应用分数阶Barbalat引理设计了自适应模糊滑模控制器和参数自适应律.最后数值仿真结果验证了所提控制方法的有效性.

Projective synchronization of fractional order chaotic system based on adaptive fuzzy sliding mode control

Based on the fuzzy control theory, the sliding mode control theory and the adaptive control theory, a mixed projective synchronization problem for a class of uncertain fractional chaotic systems with external perturbations is investigated. An adaptive fuzzy sliding mode control is proposed for the projective synchronization method of fractional order chaotic systems. The fuzzy logic system is used to approximate the unknown nonlinear function and external perturbation, the adaptive control is adopted for the approximation error, and a fractional integral sliding mode with strong robustness is constructed. Moreover, adaptive fuzzy sliding mode controller and parameter adaptive law are designed based on the fractional order Barbalat lemma. Finally, the validity of the proposed method is verified by the numerical simulation results.