Experimental Modeling of Linear Parameter Varying Dynamics Model of Ball Screw Drive System

doi:10.3901/JME.2022.09.098

Abstract

Abstract: Accurate modeling of the dynamics of ball screw drive system is the foundation for high speed, high acceleration and high precision motion control. The dynamics of the ball screw drive system has uncertainties and actually changes with position, load and other variables, which should be described as a variable parameter model in mathematics. Therefore, an experimental modeling method of linear parameter varying (LPV) dynamic model of ball screw drive system is proposed. Specially, the nonparametric model is obtained by the local frequency domain identification method, and the transfer function model in the form of modal superposition is obtained by the nonlinear least squares method. Then, an orthogonal basis function fitting method in the form of Fourier series is utilized to fit the local transfer function model parameters at different positions to obtain the position-dependent parameter model. Based on the fitting results, the position- and load-dependent LPV model is obtained by selecting suitable working points for third spline interpolation. The proposed method is applied to a developed ball screw experimental system to obtain a LPV model with high correlation to the full working position and load, which provides a basis for realizing high-speed and high-precision motion control based on the LPV model.

Key words: ball screw, linear parameter varying, system identification, parameter fitting, interpolation

CLC Number:

TH113
N945

HUANG Tao, DU Shuangjiang, ZHANG Qian, CAO Huajun. Experimental Modeling of Linear Parameter Varying Dynamics Model of Ball Screw Drive System[J]. Journal of Mechanical Engineering, 2022, 58(9): 98-106.

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