离心轮, 混沌系统, 线性反馈控制, 混沌控制

Through the analysis of a class of centrifugal flywheel system,this paper gave its mathematical model.By analysing its complex dynamics, such as Lyapunov exponent spectrum, bifurcation diagram, Poincaré diagram,time-domain waveform diagram and the spectrogram,a chaotic mathematical model was established to describe the dynamic process.Then, the control of the centrifugal flywheel system can be converted into chaotic system control. It controlled the chaotic systems of the centrifugal flywheel system by the adaptive control method, and it achieved the goal through the simulation of MATLAB. The results show that chaotic system can be controlled well by adaptive control, and the system can come to a steady state. The control method can greatly improved dynamic performance and anti-disturbance capacity of the system.