一种新蝶状混沌系统的滑模控制方法研究

Study on the Sliding Mode Control Method of a New Butterfly-shaped Chaotic System

引入一种新的蝶状系统,利用Matlab软件计算出其存在大于0的Lyapunov指数,证实该系统是混沌系统,并且通过描绘吸引子相图和分析系统的动力学性质进一步展示系统的混沌性。然后,基于自适应滑模变结构控制的方法,引进恰当的控制律将该系统的混动状态稳定到指定的平衡点。最后,通过数值仿真,验证所引进的方法对该系统混沌控制具有良好效果。

A new butterfly-shaped system is introduced at first,and the positive Lyapunov exponents are calculated by Matlab software,which shows the system is chaotic.Chaos characters of system are further demonstrated by portraying the phase diagram of chaos attractor and analyzing the dynamic characters of system.Then based on the adaptive sliding mode variable structure control method,a proper control scheme is introduced to make the chaos state of system driven to an appointed equilibrium point.Finally,numerical simulations demonstrate that this method has good effects for chaos control of this system.