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Guaranteed cost sliding mode control for looper-tension multivariable uncertain systems. (English) Zbl 1345.93074

Summary: 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.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory
90B30 Production models
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