基于自适应主动及滑模控制的分数阶超混沌系统异结构反同步

以超混沌Chen系统和超混沌Lorenz系统为例,研究了慢时变参数超混沌系统的反同步问题.首先利用主动控制的思想,消去超混沌系统中的非线性部分,然后基于Lyapunov稳定性理论,合理地选取参数自适应控制律,很好的解决了时变参数的参数摄动问题,从而实现了两个超混沌系统的反同步.在此基础之上,又进一步研究了分数阶超混沌系统,使用滑模控制方法对其进行控制,理论上分析了该方法的可行性.数值模拟实验进一步验证了所提出方法的有效性.关键词：超混沌分数阶自适应滑模

Anti-synchronization of different hyperchaotic systems based on adaptive active control and fractional sliding mode control

Taking hyperchaotic Chen system and hyperchaotic Lorenz system as examples, we study the anti-synchronization of hyperchaotic systems with slow time-varying parameters. Firstly, taking advantage of active control concept, the non-linear parts of hyperchaotic systems are eliminated, and then based on Lyapunov stability theory, a kind of parameter adaptive control law is selected reasonably to achieve anti-synchronization of two hyperchaotic systems, which is a good solution to the time-varying parameters perturbation problem. Furthermore, hyperchaotic systems of different parameters with fractional order are studied via sliding mode control,which is proved to be valid theoretically. Numerical simulation experiments verify the effectiveness and feasibility of the proposed method.