Title: Modelling and dynamic surface backstepping recursive sliding mode control for the speed and tension system of the reversible cold strip rolling mill

Authors: Le Liu; Jia-Ping Qiang; Yi-Ming Fang

Addresses: Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China ' Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China ' Department of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China

Abstract: For the speed and tension system of the reversible cold strip rolling mill, a dynamic surface backstepping recursive sliding mode control (DSBRSMC) strategy is proposed based on the immersion and invariance (I&I) adaptive method and the nonlinear disturbance observer (NDO). First, a relatively complete mathematical model for the speed and tension system of the reversible cold strip rolling mill driven by alternating current (AC) asynchronous motors is established. Next, the I&I adaptive method is adopted to estimate the system perturbation parameters, and the NDO is developed to observe the system uncertainty. Again, controllers for the speed and tension system are presented by combining the backstepping control, the dynamic surface control, and the recursive sliding mode control together. Theoretical analysis shows that the closed-loop system is stable in the Lyapunov sense. Finally, simulation research is conducted by using the actual data, and results show the validity of the proposed control strategy.

Keywords: reversible cold strip rolling mill; I&I; immersion and invariance; NDO; nonlinear disturbance observer; dynamic surface backstepping control; recursive sliding mode control.

DOI: 10.1504/IJMIC.2020.113714

International Journal of Modelling, Identification and Control, 2020 Vol.35 No.2, pp.93 - 107

Received: 01 May 2020
Accepted: 27 May 2020
Published online: 19 Mar 2021 *

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