Nonlinear predictive control of horizontal vibration of high speed elevator

Abstract

Abstract This Aiming at the problem of horizontal vibration of high-speed elevators caused by the guide rail excitation, firstly, considering the nonlinear characteristics of the spring rigidity and damping of the guide shoe system, a four-degree-of-freedom high-speed elevator nonlinear horizontal vibration model is established. Secondly, the state equation of horizontal vibration of high-speed elevator is derived, and the system state is processed by Taylor expansion. The quadratic performance index of predictive control is introduced, and the active control law with analytic form is solved by optimizing the performance index. Finally, the simulation using MATLAB verifies the correctness of the model. By further solving the control law and simulation, the results prove that predictive control can effectively reduce the horizontal vibration of high-speed elevators.