H-infinity robust repetitive control with output feedback for roll eccentricity compensation
轧辊偏心的H∞输出反馈鲁棒重复控制

An H-infinity robust repetitive controller with output feedback for the roll eccentricity compensation is designed by using the linear matrix inequality(LMI) method. We employ the dynamic output feedback controller to robustly stabilize the closed-loop system, and treat the controller design problem as an H-infinity output feedback design problem. The nonlinear matrix inequality is transformed to linear matrix inequalities with variable substitution method, and the controller parameters are obtained by solving these linear matrix inequalities. Moreover, we introduce a feedforward gain into the repetitive controller to improve the dynamic performance and the static control accuracy, while ensuring the stability for the closed-loop system. Theoretical analyses and simulation studies show that the performance of the system satisfies the requirements, even though there are parameter perturbations in the controlled objects.