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FTESO-based Nonsingular Fast Integral Terminal Sliding Mode Finite Time Control for the Speed and Tension System of the Cold Strip Rolling Mill

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  • Control Theory and Applications
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Abstract

To weaken the influences of uncertainties on the finite time tracking control performance of the speed and tension system of the reversible cold strip rolling mill driven by alternating current (AC) asynchronous motors, a dynamic surface backstepping nonsingular fast integrated terminal sliding mode control (DSBNFITSMC) strategy is proposed based on finite time extended state observers (FTESOs). Firstly, the FTESOs are constructed to dynamically observe the system’s mismatched uncertainties, and the observation errors can converge to zero in finite time. Next, the dynamic surface backstepping control is combined with the nonsingular fast integrated terminal sliding mode finite time control to complete the controller designs for the speed and tension system of the reversible cold strip rolling mill, which solve the “differential explosion” problem in conventional backstepping control, and simplify the design processes of the system controllers. Again, theoretical analysis shows that the proposed control strategy can guarantee the closed-loop system is practical finite time stability in the Lyapunov sense. Finally, the simulation research is carried out on the speed and tension system of a reversible cold strip rolling mill by using the actual data, and results show the validity of the proposed control strategy.

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Authors and Affiliations

  1. Key Laboratory of Intelligent Rehabilitation and Neromodulation of Hebei Province, Yanshan University, Qinhuangdao, 066004, China

    Le Liu, Ranyang Deng, Zhuang Ma & Yiming Fang

  2. Key Lab of Intelligent Data Information Processing and Control of Hebei Province, Tangshan University, Tangshan, 063000, China

    Zhuang Ma

Authors
  1. Le Liu
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  2. Ranyang Deng
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  3. Zhuang Ma
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  4. Yiming Fang
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Correspondence to Le Liu.

Additional information

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 stability analysis and coordinated control of complex electromechanical system, robust control, and its applications to nonlinear system.

Ranyang Deng is currently a Postgraduate student with the Department of Automation, Yanshan University, China. Her research interests include finite time control for the speed and tension system of cold strip rolling mill.

Zhuang Ma received his B.S. degree in electrical engineering from the Southwest Jiaotong University in 2001. He is currently pursuing a Ph.D. degree with Yanshan University. He is also an Associate Professor with the School of Intelligence and Information, Tangshan University. His research interests include nonlinear control, adaptive control, and system identification.

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) in 1985 and 1988, respectively, and a 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, and adaptive robust control of metallurgical automation system.

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This work was supported by the National Natural Science Foundation of China [grant numbers 61803327 and 61873226]; the Natural Science Foundation of Hebei Province [grant numbers F2020203018 and F2020203031]; the Hebei Innovation Capability Improvement Plan Project [grant number 22567619H]; the Science and Technology Research Foundation Project in Colleges and Universities of Hebei Province [grant number QN2022134].

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Liu, L., Deng, R., Ma, Z. et al. FTESO-based Nonsingular Fast Integral Terminal Sliding Mode Finite Time Control for the Speed and Tension System of the Cold Strip Rolling Mill. Int. J. Control Autom. Syst. 21, 117–128 (2023). https://doi.org/10.1007/s12555-021-1047-3

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  • DOI: https://doi.org/10.1007/s12555-021-1047-3

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