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Adaptive Torsional Vibration Control of the Nonlinear Rolling Mill Main Drive System with Performance Constraints and Sensor Errors

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  • Control Theory and Applications
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Abstract

This paper studies the torsional vibration suppression control problem for the nonlinear rolling mill main drive system with performance constraint requirements and unknown measurement sensitivities. Firstly, considering the nonlinear friction between the roll gaps, a torsional vibration model of the main drive system of rolling mill is established. Then, with the asymmetric performance constraints transformation, the motor torque control law is proposed based on backstepping algorithm. By introducing an adaptive bound estimation approach, the multiple unknown parameters caused by the sensor sensitivities can be approximated with very few adaptive laws. The dynamic surface technology is introduced to simplified the control design procedure and solve the computational explosion problem. It is strictly proved that the resulting closed-loop system is stable in the sense of uniformly ultimately boundedness and both transient and steady-state performances of the load speed are preserved. Finally, the simulation is provided to show the validity and the advantages of the proposed techniques.

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Authors and Affiliations

  1. Department of Automation, Yanshan University, Qinhuangdao, 066004, China

    Cheng Qian, Liuliu Zhang & Changchun Hua

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  1. Cheng Qian
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Correspondence to Liuliu Zhang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Xiao-Heng Chang under the direction of Editor Guang-Hong Yang. This work was supported in part by the National Key R&D Program of China under Grant 2018YFB1308300, in part by the National Natural Science Foundation of China (61803326, 6182500417, 61751309, 61673335, and 61933009).

Cheng Qian received his B.S. degree in mechanical engineering from Yanshan University, Qinhuangdao, China, in 2014. He is currently working toward a Ph.D. degree in electrical engineering from Yanshan University. His research interests are in dynamic modeling, analysis and control of rolling process.

Liuliu Zhang received her B.S. and Ph.D. degree in electrical engineering from Yanshan University, Qinhuangdao, China, in 2012 and 2018, respectively. She is currently a Lecturer with Electrical Engineering, Yanshan University, China. Her research interests include nonlinear control, constraint control and adaptive control.

Changchun Hua received his Ph.D. degree in electrical engineering from Yanshan University, Qinhuangdao, China, in 2005. He was a research Fellow in National University of Singapore from 2006 to 2007. From 2007 to 2009, he worked in Carleton University, Canada, funded by Province of Ontario Ministry of Research and Innovation Program. From 2009 to 2011, he worked in University of Duisburg-Essen, Germany, funded by Alexander von Humboldt Foundation. Now he is a full Professor in Yanshan University, China. He is the author or coauthor of more than 110 papers in mathematical, technical journals, and conferences. He has been involved in more than 10 projects supported by the National Natural Science Foundation of China, the National Education Committee Foundation of China, and other important foundations. His research interests are in nonlinear control systems, control systems design over network, teleoperation systems and intelligent control.

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Qian, C., Zhang, L. & Hua, C. Adaptive Torsional Vibration Control of the Nonlinear Rolling Mill Main Drive System with Performance Constraints and Sensor Errors. Int. J. Control Autom. Syst. 19, 1264–1272 (2021). https://doi.org/10.1007/s12555-020-0092-7

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  • DOI: https://doi.org/10.1007/s12555-020-0092-7

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