基于主动滑模控制的一类不确定混沌系统的同步

Uncertain Chaos Synchronization Based an Active Sliding Mode Controller

讨论了一类不确定混沌系统的同步问题。基于主动控制思想,提出了一种新的主动滑模控制策略,使得从任意初始条件出发的不确定混沌系统在有限时间内趋近滑模面;通过一种新颖的虚拟反馈控制,得到了设计鲁棒滑模面的一个充分条件,较好地实现了响应系统与驱动系统的完全同步,确保了不确定混沌系统同步的鲁棒稳定性。该控制器适用于一般的混沌系统。以Lü混沌系统为例进行了仿真验证,仿真结果表明,该控制方法可以实现较快的混沌同步,且同步的鲁棒稳定性良好。

A novel active sliding mode control approach is presented for synchronization of two uncertain chaotic system.The method utilizes virtual state feedback to offer design of robust sliding mode plane.And a sufficient condition is drawn for the robust stability of the error dynamics of synchronization for uncertain chaotic systems based on Lyapunov stability theory.The proposed strategy does not need any complex state transformation,as does the traditional sliding mode control.A numerical example is given to illustrate the effectiveness of the methodology.