具有不确定性的轧机传动系统预测控制设计

Design of Model Predictive Control for Drive System of Rolling Mill with Uncertainty

针对轧机传动系统存在参数不确定性和负载扰动的特点,建立了轧机传动系统的状态空间模型,提出采用预测控制方法提高轧机传动系统的鲁棒性,构建了基于预测控制的轧机传动系统控制策略。利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了基于状态反馈的轧机传动系统预测控制器设计方法,并通过引入状态变量的衰减律来提高闭环系统的响应速度。仿真结果表明,该预测控制器不仅有效地抑制了负载扰动的影响,同时对轧机传动系统内部参数摄动也具有较强的鲁棒性。

The state space model for drive system of rolling mill was established in view of parameter uncertainty and load disturbance for drive system of rolling mill. A novel control strategy for drive system of rolling mill was constructed in which model predictive control was introduced to improve robustness of drive system. A design of model predictive controller based on state feedback was proposed for drive system of rolling mill by Laypunov stability theory and linear matrix inequalities. The speed of the closed-loop response was improved by a minimum decay rate of state variables. The simulation result shows that model predictive controller has not only effectively suppressed to load disturbance, but also has very strong robustness to plant interior parameter perturbation.