Flatness control system is characterized by multi-parameters, strong coupling, pure time delay, which complicate the establishment of an accurate mathematical model. Therefore, a control scheme that combines dynamic decoupling, PI (Proportion and Integral) control and adaptive Smith predictive compensation is proposed. To this end, a dynamic matrix is used to decouple the control system. A multivariable coupled pure time-delay system is transformed into several independent generalized single-loop pure time-delay systems. Then, a PI-adaptive Smith predictive controller is constructed for the decoupled generalized single-loop pure time-delay system. Simulations show that the scheme has a simple and feasible structure, and good control performance. When the mathematical model of the control system is inaccurate, the control performance of adaptive Smith control method is evidently better than that of the ordinary Smith control method. The model is successfully applied to the cold rolling production site through LabVIEW, and the control accuracy is within 5I. This study reveals a new solution to the problem of coupled pure time-delay in flatness control system.

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平面度闭环控制的解耦自适应史密斯预测模型及其应用

平面度控制系统具有多参数，强耦合，纯时延的特点，这使得建立精确的数学模型变得复杂。因此，提出了一种结合了动态解耦，PI（比例和积分）控制和自适应Smith预估补偿的控制方案。为此，使用动态矩阵对控制系统进行解耦。将多变量耦合纯时滞系统转换为几个独立的广义单回路纯时滞系统。然后，为解耦的广义单环纯时滞系统构造了一个PI自适应Smith预测控制器。仿真表明，该方案结构简单可行，控制性能良好。当控制系统的数学模型不正确时，自适应史密斯控制方法的控制性能明显优于普通史密斯控制方法。通过LabVIEW将该模型成功应用于冷轧生产现场，控制精度在5I以内。这项研究揭示了一种解决平面度控制系统中耦合纯时滞问题的新方法。