基于滑模技术的时变Lorenz系统的自适应同步

Adaptive Synchronization of Lorenz System via Sliding Technique

讨论了参数为时变的Lorenz系统的同步问题的自适应控制.驱动系统的参数未知并在一个有界区间内变化,同时区间的边界也未知.利用自适应控制设计控制器,并且为了增强混沌系统的鲁棒稳定性,控制器的设计运用了滑模控制的方法.在控制器的作用下,实现了响应Lorenz系统与驱动Lorenz系统的全局渐近同步.数据仿真表明该控制的有效性和可行性.

Discusses the adaptive control of synchronization for Lorenz system with different time-varying parameters. The parameters which driving the system are unknown and changing in a boundary interval, and the boundary is unknown, using adaptive control to design the controller, and for improving the robustness stability of the chaotic system, adopting sliding control method to design the controller. Under the effect of controller, realizes the synchronization ofresponsing Lorenz system and driving Lorenz system. The simulation results show the control is valid and feasible.