Abstract
This paper investigates the decoupling and coordinated tracking control problem for the speed and tension system of the reversible cold strip rolling mill. Using a diagonal matrix decoupling network and neural network disturbance observers, we propose a command filter-based backstepping control strategy. First, the diagonal matrix decoupling network is constructed to weaken the coupling between the speed and tension of the rolling mill system, which reduces the complexity of the system model effectively. Second, controllers are designed by combining the backstepping with the command filter, which solves the “explosion of complexity” problem in backstepping procedure, and optimizes the system’s control structure. Next, neural network disturbance observers are developed to observe the uncertain items of the system, which improve the tracking control precision of the system effectively. Theoretical analysis shows that all signals in the closed-loop system are uniformly ultimately bounded. Finally, simulation research is carried out on the speed and tension system of a 1422 mm reversible cold strip rolling mill; results show that using the proposed control strategy increased the dynamic response speed of the system by approximately 1s, and the stability precision improved by approximately 2000 N.
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Recommended by Associate Editor Vu Nguyen under the direction of Editor Won-jong Kim. This work was supported by the National Natural Science Foundation of China under Grant 61803327, the Natural Science Foundation of Hebei Province under Grants F2016203263 and E2017203115, the Key Research and Development Project of Hebei Province under Grant 18212109, the Research Foundation of Hebei University of Environmental Engineering under Grant BJ201604, and the Basic Research Specific Subject of Yanshan University under Grant 16LGA005.
Le Liu received his B.E. degree in automation from the Hebei University of Science & Technology in 2008, his M.E. and Ph.D. degrees in control science and engineering from the Yanshan University, in 2011 and 2015, respectively. He is currently an associate professor with the Department of Automation, Yanshan University, China. His research interests include decoupling coordinated control of multivariable system, robust control and its applications to nonlinear system.
Nuan Shao received her B.E. and Ph.D. degrees in control science and engineering from the Yanshan University, in 2008 and 2015, respectively. She is currently an associate professor with Hebei University of Environmental Engineering, China. Her research interests include stability analysis, robust control of nonlinear system, distributed containment control.
Suyan Ding is currently a Postgraduate student with the Department of Automation, Yanshan University, China. Her research interest includes coordinated control for the speed and tension system of cold strip rolling mill.
Yiming Fang received his B.E. and M.E. degrees in automation from the Northeast Heavy Machinery Institute (which was renamed Yanshan University in 1997), China, in 1985 and 1988, respectively, and his Ph.D. degree in mechanical and electronic engineering from the Yanshan University in 2003. He is currently a Professor with the Department of Automation, Yanshan University, China. His research interests include modeling & simulation and control of complex system, adaptive robust control of metallurgical automation system.
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Liu, L., Shao, N., Ding, S. et al. Command Filter-based Backstepping Control for the Speed and Tension System of the Reversible Cold Strip Rolling Mill Using Disturbance Observers. Int. J. Control Autom. Syst. 18, 1190–1201 (2020). https://doi.org/10.1007/s12555-018-0697-2
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DOI: https://doi.org/10.1007/s12555-018-0697-2