In order to eliminate lateral oscillations of spinning disks and dispel their adverse effect on the system performance or the working conditions of the system, the chaotic complex dynamic characteristics of the four-dimensional nonlinear equations in lateral oscillations of spinning disks were analyzed, including the space trajectory, the Lyapunov exponent and the Poincare map. And the chaotic orbits of the spinning disks were stabilized to fixed points and periodic orbits by means of proportional integral sliding mode control (PISMC) method, and MATLAB Simulations were presented to confirm the validity of the controller. Furthermore, it is discussed that the value of gain coefficient impact on system performance including buffeting, the time and peak in the transition process of controlled system and controller and so on. The results provide a theoretical basis for the application of PISMC and the chaos control of mechanical systems.
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