Study on robust control for parametric excitation nonlinear torsional vibration of strip rolling mill&rsquo;s mechanical and electrical drive system

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (12) : 1-7.

Study on robust control for parametric excitation nonlinear torsional vibration of strip rolling mill’s mechanical and electrical drive system

HAN Dongying1 SHI Peiming,2 ZHAO Dongwei2

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Abstract

Considering parametric excitation nonlinearity, uncertainty and load torque, the nonlinear torsional vibration dynamic model of mechanical and electrical transmission system in the rolling mill is built. The problem of the strip rolling mill’s Motor speed robust tracking and non-fragile control on DC motor is studied. As the nonlinearity of strip rolling mill’s mechanical and electrical drive system is translated into parameter uncertainty, the sufficient condition which lets the system attains quadratic stability and the outside disturbance attenuation is obtained by H∞ theory, Lyapunov stability theory and the method of LMI. In order to achieve the given speed signal tracking and non-fragile control, the feedforward and compensatory controller is designed. The results of the reality strip rolling mill’s example simulation verifies the effectiveness of the proposed method, and the non-fragile of the controller reflected as the parameter robustness of the controller, so the effect of the torsional vibration non-fragile control of strip rolling mill’s mechanical and electrical drive system can be fulfilled via choosing the parameters of the controller directly.

Key words

rolling mill / torsional vibration / parametric excitation / nonlinear / robust H∞

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HAN Dongying1 SHI Peiming,2 ZHAO Dongwei2. Study on robust control for parametric excitation nonlinear torsional vibration of strip rolling mill’s mechanical and electrical drive system[J]. Journal of Vibration and Shock, 2016, 35(12): 1-7

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