Discrete-time fuzzy state feedback control for looper and tension control systems

This paper investigates the problem of fuzzy state feedback control for looper and tension control systems in hot rolling mills via a linear matrix inequality (LMI) approach. The considered system is approximated by a discrete-time looper and tension control system model. Based on a spectral norm approach, we design a fuzzy state feedback controller which makes the closed-loop system is asymptotically stable. In contrast to the existing results, the proposed approach has two advantages: i). Transition time is short. ii). The strip tension is less affected by the change of looper angel, such that good control performance can be obtained. iii) Simulation results show that the presented method can effectively overcome external disturbances. Moreover, this control scheme is easy to implement, and can be applied to other linear systems. A simulation example with practical parameters is provided to illustrate the effectiveness of the developed method.