追踪控制双频激励下汽车悬架系统的混沌运动

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。

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

Chaos motion of nonlinear Automobile suspension system under the dual-frequency sinusoidal excitations is analysed. Chaos motion is decided through Lyapunov exponents and Poincare map and amplitude of chaos motion is found.Then a controller U is designed when all the states of the system are measurable. It is proved by means of 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 is used to control chaos motion and the control process has being numerical Simulation. The results of numerical Simulation prove that the tracking control method is effective.