Trajectory Planning, Optimization and Control of (轨迹规划、优化和控制).pdf
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WSEAS TRANSACTIONS on SYSTEMS Kai He, Yuanxin Luo, Ching Tom Kong, R. Du
Trajectory Planning, Optimization and Control of
a Hybrid Mechanical Press
1 2 2 2
KAI HE , YUANXIN LUO , CHING TOM KONG , R. DU
1Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences
Shenzhen 518067, P.R. CHINA
2Institute of Precision Engineering, The Chinese University of Hong Kong
Shatin, N.T., Hong Kong, P.R. CHINA
kai.he@;yxluo@.hk;ckong@.hk;rdu@.hk
Abstract: - Hybrid mechanical press is an innovative sheet metal stamping press that has the
advantages of both mechanical press and the hydraulic press. This paper focuses on the control of the
hybrid mechanical press, including trajectory planning, trajectory optimization and real time feedback
control. The trajectory planning is based on inverse kinematics and cubic spline interpolation. The
trajectory optimization is used to realize the desirable punch trajectory under multiple constraints on
velocity, acceleration and jerk of the servomotor. Finally, an improved PID algorithm, called the
integral separated piecewise PID scheme, is used for real time feedback control. Based on the
experiments on a 25 ton industrial prototype, the control ensures the desirable performance of the
press.
Key-Words: - Hybrid Machines, Mechanical Press, Trajectory Planning, Trajectory Optimization, PID
Control
1 Introduction
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