超混沌系统的逆系统滑模跟踪控制研究

Study on the Inverse System Sliding-mode Tracking Control for Hyper-chaotic System

根据逆系统设计方法,对超混沌系统进行线性化并解耦,构造出一个伪线性系统;并基于指数趋近律,设计了伪线性系统的滑模变结构控制策略,从而推导出超混沌系统的目标跟踪控制器。以一个四维超混沌系统为例进行控制研究,仿真结果表明,在控制作用下,超混沌系统能实现对平衡点、周期状态目标的稳定跟踪控制以及对混沌信号的同步控制。研究结果为实现其他超混沌系统的控制与同步提供了借鉴。

In accordance with the design method for inverse system, through conducting linearization and decoupling for hyper-chaotic system, the pseudo linear system is built. Then, based on exponentially reaching law, the sliding mode variable structural control strategy is designed. Thus the object tracking controller of hyper-chaotic system is derived. With a 4D hyper-chaotic system as example for research, the result of simulation shows that under control action, the hyper-chaotic system can be stably controlled to the equilibrium point and periodical status. The research provides reference for realizing control and synchronization of other hyper-chaotic systems.