混沌系统的自适应多变量广义预测控制与同步

Adaptive multi-variable generalized predictive control and synchronization of chaotic systems

提出了一种应用带时变遗忘因子的自适应多变量广义预测控制算法(β-MGPC),对Lorenz,Rossler,Chua电路等典型混沌系统进行控制,使之跟踪任意给定参考信号,数值仿真表明了该控制算法的良好效果.这种方法的优点在于无需知道混沌系统的精确模型,便可实现混沌系统的大范围的跟踪和同步控制.

This paper presents a β type multi-variable generalized predictive control method for control and synchronization of chaotic systems. Using this method, the chaotic Lorenz system, Rossler system and Chua＇s circuit system can be controlled to track the discretionary reference signal. The effectiveness of the proposed method is verified by numerical simulations. The advantages of the proposed method are that it can realize effective control and synchronization of chaotic systems without the knowledge of its precise model.