Abstract
This paper investigates the problem of state feedback ?HiÞ 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 Lyapunov functional method, we develop a state feedback ?HiÞ control law which makes the closed-loop system is asymptotically stable with guaranteed ?HiÞ performance. In contrast to the existing results, the proposed approach has two advantages: i).The good ?HiÞ performance can be obtained and the external disturbances have been effectively reduced. ii). The strip tension is less affected by the change of looper angel, such that good control performance can be obtained. 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.
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