具有参数不确定Chen系统的自适应同步

Adaptive synchronization of Chen system with uncertain parameters

基于Lyapunov稳定性理论,讨论了具有参数不确定Chen系统的混沌同步.通过选取适当的自适应控制器,使得2个结构类似的Chen系统在状态上达到渐进同步.不确定参数为正数所得的自适应控制器比所有参数都未知时所得的自适应控制器结构更简单.通过仿真实验验证了所得混沌同步理论的有效性.

This paper addresses the chaos synchronization of Chen system with uncertain parameters.Based on the Lyapunov stability theory,some adaptive control laws are derived to make the state of two identical Chen systems asymptotically synchronized.First,we discuss some unknown uncertain parameters which are positive.In this case,we can make the controller simpler.Then,we further discuss all the uncertain parameters which are unknown,and we demonstrate that the drive and response system can be synchronized.A numerical simulation is given in the end to validate the proposed synchronization approach.