一种新超混沌系统的反馈控制方法研究

Research on the Feedback Control of a Novel Hyperchaotic System

给出一种新的超混沌系统,并对该系统的Lyapunov指数、平衡点和吸引子相图等动力学性质进行分析。当系统取某组参数时,有2个正的Lyapunov指数,进一步说明该系统的超混沌性。利用单一状态线性反馈和错位线性反馈控制方法将超混沌系统的混沌吸引子控制到平衡点,通过数值仿真证实该控制器的有效性。

A novel hyperchaotic system is reported in the paper,and the Lyapunov exponents,equilibrium,phase diagram and other dynamic behaviors of the system are analyzed. When the system is set up with certain parameters,it has two positive Lyapunov exponents,which further shows the system is hyperchaotic. Ordinary feedback control and dislocated linear feedback control are used to suppress hyperchaos to the unstable equilibrium. Numerical simulations results show the effectiveness of the proposed controller.