Dynamic analysis and tracking trajectory control of a crane

作者:Huang Kang; Sun Shunqiang; Zhen Shengchao; Ge Xinfang*; Zhu Yongqi
来源:Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering , 2017, 231(5): 1045-1052.
DOI:10.1177/0954408916671971

摘要

This paper introduces a method to solve the crane motion trajectory control problem. A dynamic model is proposed based on the Udwadia-Kalaba equation, which can be solved without extra parameters, such as the Lagrange multiplier. The motion trajectory of a crane is used as a constraint (referred to as trajectory tracking constraint). To satisfy the system trajectory, a method to calculate the driving conditions on the basis of the above conditions is proposed. A 2D plane dynamic model of a crane is established. Five stages of crane movement are obtained. Simulation is performed with Matlab. Simulation results simulation show that the Udwadia-Kalaba equation can be well applied to trajectory tracking control of cranes.