Abstract

A guaranteed cost sliding mode control (SMC) algorithm is investigated to further improve the control accuracy of looper-tension systems in hot strip finishing mills. First, a global sliding mode surface function is designed by linear matrix inequalities and guaranteed cost technique, which can force the system states into switching region initially, and can guarantee the system robustness with a good performance during the whole control process. Then, a novel reaching law is designed, which can satisfy the sliding mode reaching conditions. Simulation results demonstrate that the proposed control scheme has good stability and robustness comparing with traditional SMC. The designed controller can regulate the strip tension and looper angle to ensure better performance, which is very suitable for complex looper systems.

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