Backstepping control for the speed and tension system of reversible cold strip rolling mill based on command filter

In order to improve the coordinated tracking control performance for the speed and tension system of reversible cold strip rolling mill, a backstepping control strategy is proposed based on command filter in this paper. Controller for each of the speed and tension subsystems is designed based on backstepping respectively, meanwhile the command filters are adopted to generate the virtual control inputs and their first time derivatives, which avoid the “differential explosion” phenomena during using the backstepping control, optimize the controller structures, and improve the coordinated tracking control performance of the system effectively. Theoretical analysis shows that the resulting speed and tension closed-loop system is globally asymptotically stable. Finally, simulation research is carried out on the speed and tension system of a 1422 mm reversible cold strip rolling mill by using the actual data, and results show the superiority of the proposed control strategy in comparison with the decentralized overlapping control strategy.