一类自激振动系统的混沌控制

Chaos Control for a Class of Self-Excited Vibration Systems

研究了一类具有间隙及振动边界特殊情况下初轧机制过程中产生的自激振动系统的混沌控制。利用Lyapunov维数、Poincaré映射图、Lyapunov指数图分析了该系统的混沌行为,并利用四种方法实现了系统的混沌控制,将系统的混沌行为有效控制到稳定的周期轨道或平衡点。

Chaos Control for a dynamic model based on the self-excited vibration with clearances and oscillating boundaries such as rolling mill is studied. By applying Lyapunov dimension, Poincaré mapping diagram, Lyapunov exponential diagram, the chaos behaviors of self-excited vibration systems are analyzed.By four methods, the chaos control of the system is realized and the chaos behaviors of the system are controlled effectively to a steady periodic orbit or equilibrium point.