基于输出反馈滑模控制的分数阶超混沌系统同步

以具有更大秘钥空间的分数阶超混沌系统为驱动系统和响应系统,利用具有实际应用意义的输出反馈滑模控制实现两个系统的同步.通过对同步误差系统方程进行结构分解,在辅助系统的基础上设计具有输出反馈特性的滑模控制律.在分数阶系统稳定性理论基础上利用MATLAB YALMIP工具箱对滑模参数进行整定,并利用分数阶Lyapunov稳定性定理证明了滑模控制律和自适应滑模控制律的稳定性.最后,数值仿真表明了本文方法的有效性和可行性.

Synchronization of Fractional Order Hyperchaotic Systems Based on Output Feedback Sliding Mode Control

Regarding the fractional order hyperchaotic system with a larger key space as the drive system and response system, an output feedback sliding mode controller with practical application significance is designed to implement their synchronization. Through decomposing the equations of the synchronization error system, a sliding control law with output feedback characteristic is developed on the basis of the auxiliary system. Based on the stability theory of the fractional system, the sliding parameters are tuned by using the YALMIP toolbox in MATLAB, and then the stabilities of the sliding control law and adaptive sliding control law are proved by the fractional order Lyapunov stability theorem. Simulation results show that the synchronization scheme proposed in this paper is effective and feasible.