追踪控制双频激励下汽车悬架系统的混沌运动

Tracking control for chaos motion of an automobile suspension system with dual-frequency excitations

分析双频正弦激励下非线性汽车悬架系统的混沌运动,根据Lyapunov指数及Poincare截面判断系统的混沌运动,指出发生混沌运动时的相应幅值。之后,在系统状态全部可测的情况下设计一种控制器U,并用Lyapunov函数证明对此控制器闭环系统大范围渐近稳定。最后,使用该控制器对系统的混沌运动进行追踪控制,并对以上控制过程进行数值仿真。数值仿真结果证明控制方法是有效的。

Chaos motion of a nonlinear Automobile suspension system under dual-frequency sinusoidal excitations was analysed.The chaos motion was determined through Lyapunov exponents and Poincare map and its amplitude was found.Then,a controller U was designed when all the states of the system were measurable.It was proved by means of a Lyapunov function that the closed-loop system is asymptotically stable in the sense of large range.At last,the tracking control with the controller U was used to control the chaos motion and the control process was numerically simulated.The simulation results showed that the tracking control method is effective.