Self-adaptive sliding mode synchronization of fractional-order permanent magnet synchronization motor chaotic systems(分数阶永磁同步电机混沌系统自适应滑模同步)

利用滑模控制理论及分数阶微积分2种方法，通过构造滑模函数与控制器及适应规则，研究了分数阶永磁同步电机混沌系统的自适应滑模同步问题，得到系统同步的2个充分条件，并通过数值仿真对所得结果进行了验证与分析

Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems

In this paper, the Adomian decomposition method (ADM) semi-analytical solution algorithm is applied to solve a fractional-order entanglement symmetrical chaotic system. The dynamics of the system are analyzed by the Lyapunov exponent spectrum, bifurcation diagrams, poincaré diagrams, and chaos diagrams. The results show that the systems have rich dynamics. Meanwhile, sliding mode synchronizations of fractional-order chaotic systems are investigated theoretically and numerically. The results show the effectiveness of the proposed method and potential application value of fractional-order systems