基于滑模控制的分数阶超混沌系统投影同步

Sliding Mode Control for Projective Synchronization of Fractional-order Hyperchaotic Systems

研究了一类分数阶超混沌系统的投影同步问题.利用分数阶性质及分数阶稳定理论,设计滑模控制器,实现分数阶超混沌系统的投影同步.并利用Lyapunov稳定理论证明误差系统的渐近稳定,数值仿真结果验证了控制器的有效性.

Projective synchronization of fractional-order hyperchaotic systems is studied here. According to the properties and stable theorem of fractional equation, sliding mode controller is designed to achieve the projective synchronization of fractional-order hyperchaotic systems. Moreover, the global asymptotic stability of the error dynamics is derived in the Lyapunov sense. Simulation studies have shown the pro- posed controllers can get good control effects.