A method for controlling the stability of rolling mill roll system under the constraint of nonlinear stiffness of hydraulic cylinder

Abstract

The invention relates to a stability control method of a mill roll system under a nonlinear stiffness constraint of a hydraulic cylinder. The method mainly comprises the following steps: establishing a vibrating model of the mill roll system under the nonlinear stiffness constraint of the hydraulic cylinder, and listing a dynamic equilibrium equation of the system according to a generalized dissipation Lagrange principle; introducing a controlled input quantity based on the dynamic equilibrium equation; simplifying the dynamic equilibrium equation with the controlled input quantity and constructing a Lyapunov function; giving a stability condition of the system through a Lyapunov theorem; properly adjusting the sizes of gains kd and kp, and controlling the mill roll system to reach a stable state; and comparing the stability of the uncontrolled system and the controlled system and correcting the model. The control method provided by the invention can effectively inhibit vibration of the mill roll system and improve the stability of the system, thereby providing a novel solution for controlling the stability of the mill roll system.

Description

technical field [0001] The invention relates to the control field of rolling mill vibration systems, in particular to a rolling mill roll system stability control method under the constraint of nonlinear stiffness of a hydraulic cylinder. Background technique [0002] The vibration of the rolling mill roll system is closely related to the product quality, and is one of the key factors affecting the stable operation of the rolling mill. During the rolling process, the equivalent stiffness of the hydraulic cylinder itself will show nonlinearity with the vibration of the roll system of the rolling mill. When the system is constrained by the nonlinearity of the hydraulic cylinder, the vibration of the rolling mill roll system will become more complicated, which will affect the system The stable operation of the system is a threat. [0003] At present, the patents related to the control method of the rolling mill mainly include: the patent No. CN102172636A, the patent document n...

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Problems solved by technology

[0004] However, the above-mentioned control methods mainly control the mechanical structure of the rolling mill, and do not involve the vibration phenomenon of the rolling mill roll system under the dynamic influence of the hydraulic cylinder, which still cannot meet the needs of modern industry

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