Guaranteed cost sliding mode control for looper–tension multivariable uncertain systems

Abstract

In order to further improve the control accuracy of looper–tension uncertain systems in hot strip finishing mills, an innovation-guaranteed cost sliding mode control method is researched. First, a sliding mode surface function is obtained by linear matrix inequalities and guaranteed cost technique. The function can guarantee the system robustness with a good performance during the whole control process. Then, a novel sliding mode control law is designed to satisfy the sliding mode reaching conditions, and it gives the theoretical proof. As a result, the control method can reduce external disturbances and make the strip tension to reach a stable equilibrium state quickly. Simulation results show the effectiveness of the proposed sliding mode control scheme compared with the traditional ones.