一个新超混沌系统的控制与自适应同步

讨论了一个新超混沌系统的控制及同步问题,在参数已知时,设计了一个线性控制器和一个速度反馈控制器,得到将系统控制到不稳定平衡点的充分条件;并且对控制前后的情况用图像作了比较,比较形象地说明了控制的有效性和科学性;在参数未知的时候,科学地设计了4个非线性控制器和参数估计的自适应律,得到了实现全局完全同步的充分条件;理论与仿真结果都验证了结论的有效性和科学性.

Control and Self-adaptive Synchronization of a New Hyper-chaotic System

In this article,we consider the issues of hyper-chaotic control and hyper-chaotic synchronization for a new presented hyper-chaotic system.In the hyper-chaotic control,when the parameter is known,the two controllers are designed scientifically,one is the linear controller,the other is the velocity feedback controller,and sufficient conditions are respectively presented to stabilize the chaotic system to any appointed unstable equilibrium points. The situation before controlling and after controlling is compated,and effective and scientific control is praphically illustrated. In the hyper-chaotic synchronization,when the parameter are designed scientifically,and a sufficient condition is presented to assure globally complete synchronization.Theoretical analysis and numerical simulation show that the design is feasible.