单变量耦合及自适应控制统一混沌系统的同步

Coupled and adaptive control for the synchronization of the unified systems via single variable

针对混沌系统的控制与同步问题,对统一混沌系统的同步问题进行了理论分析,基于单变量的耦合控制与自适应控制方法分别进行了同步控制器的设计和理论证明。采用单变量控制在实现同步的过程中仅需从驱动系统传递一个状态变量到响应系统用于同步,因此具有很好的实用性。仿真验证了这两种控制方法的有效性。

The synchronization of the unified chaotic systems is studied. Sufficient conditions for the synchronization of the unified systems via coupled and adaptive control are derived respectively. These two methods can synchronize the two unified chaotic systems via only one variable, which may be useful in practice. The numerical simulations show the validity of theoretical derivations.\;