Adaptive Prescribed Performance Control for Torsional Vibration of Cold Rolling Mill with Disturbance Uncertainties

doi:10.3901/JME.2021.04.202

Abstract

Abstract: Rolling mill vibration is a common problem and difficult to solve in plate and strip rolling production. Considering the torsional vibration caused by the external uncertainty disturbance of the main drive system of the cold rolling mill，an adaptive prescribed performance control strategy is proposed，the torsional vibration of the main drive system of the cold rolling mill is effectively suppressed. Based on the Lagrangian dynamics equation，considering the non-linear characteristics of the main drive system such as stiffness，friction，and motor dead zone，and external uncertainties，a rolling mill main drive system model with a lower triangular structure is established. An adaptive prescribed performance controller is designed for this nonlinear model，and the rigorous proof is given by using the Lyapunov stability theory to obtain the bounded stability of system. Simulations for 2030 mm cold rolling main drive system are performed，and the experimental results show that the roll speed tracking error is strictly limited in the predetermined range，which effectively avoids the occurrence of torsional vibration. An effective control strategy is provided for the torsional vibration of rolling mill by introducing the performance function.

Key words: cold rolling mill, torsional vibration, adaptive control, prescribed performance control(PPC), dead zone

CLC Number:

TP273
TP29

HUA Changchun, CHEN Jiaqiang, CHEN Jiannan, CHEN Shuzong. Adaptive Prescribed Performance Control for Torsional Vibration of Cold Rolling Mill with Disturbance Uncertainties[J]. Journal of Mechanical Engineering, 2021, 57(4): 202-209.

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