一个新混沌系统的控制与同步

Control and Synchronization of a New Hyperchaotic System

讨论了最近提出的一个新混沌系统的控制与同步问题。在此系统的控制中,设计了在参数已知时的2个线性控制器,得到了将系统控制到任意不稳定平衡点的充分条件。在此系统的同步中,设计了在参数已知时的2个非线性控制器,得到了实现全局完全同步的充分条件,并设计了在参数未知时的3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。对控制参数数值模拟的结果验证了其正确性。

This paper consider the issues of chaotic control and chaotic synchronization for a new presented chaotic system. In the chaotic control, when the parameter is known, two linear controllers are designed and a sufficient condition is presented to stabilize the chaotic system to any appointed unstable equilibrium points. Meanwhile, in the chaotic synchronization, two different issues of chaotic synchronization are designed ： When the parameter is known, two nonlinear controllers are designed and a sufficient condition is presented to assure globally complete synehronization. When the parameter is unknown, three nonlinear controllers are designed, an adaptive role for estimating the unknown parameter is found and a sufficient condition is presented to assure globally complete synchronization. Theoretical analysis and numerical simulation show that the design is feasible.