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POINTWISE LINEAR QUADRATIC OPTIMAL CONTROL OF A TANDEM COLD ROLLING MILL

机译:串列冷轧机的POINTWISE线性二次优化控制

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摘要

ABSTRACTPOINTWISE LINEAR QUADRATIC OPTIMAL CONTROL OF ATANDEM COLD ROLLING MILLJohn R. Pittner, PhDUniversity of Pittsburgh, 2006The tandem cold rolling of metal strip is a complex multivariable process whose control presents a significant engineering challenge. The present technology generally relies on a control structure wherein the interactive coupling between process variables is partially reduced by several single-input-single-output and single-input-multi-output control loops operating on certain variables to decompose the overall problem into several separate problems to attempt to allow independent adjustment of strip tension and thickness anywhere in the mill. However, while the existing systems generally have been successful in producing an acceptable product, their failure to completely counteract the effects of interactions between process variables has limited their capability for improvement in performance and in robustness to disturbances and uncertainties. Various techniques for improvement have been proposed and some have been implemented. Many of these techniques offer some improvements, but also have shortcomings. Therefore there is a need for a better approach. It is considered that the pointwise linear quadratic optimal control might fulfill this need. This dissertation investigates the theoretical and applied aspects of this technique for control of a tandem cold rolling mill using criteria based on practical applications. A mathematical model of the mill is developed from which nonlinear state space equations are derived. Using these equations, a pointwise linear quadratic optimal controller is developed, and its performance for variations in operating speed and product are confirmed by simulation. Robustness to disturbances and uncertainties is also confirmed by simulation. The results are compared with those using typical industry practice.
机译:低温冷轧机的抽象定点线性二次最优控制约翰·皮特纳(John R.Pittner),匹兹堡大学,2006年金属冷轧板坯的冷连轧是一个复杂的多变量过程,其控制带来了重大的工程挑战。本技术通常依赖于一种控制结构,其中通过对某些变量进行操作的多个单输入单输出和单输入多输出控制回路,部分减少了过程变量之间的交互耦合,从而将整个问题分解为几个单独的变量试图允许在轧机中的任何地方独立调整带材张力和厚度的问题。然而,尽管现有系统通常已经成功地生产了可接受的产品,但是它们不能完全抵消过程变量之间的相互作用的影响,限制了它们提高性能以及对干扰和不确定性的鲁棒性的能力。已经提出了各种改进技术,并且已经实施了一些技术。这些技术中的许多提供了一些改进,但也有缺点。因此,需要一种更好的方法。认为逐点线性二次最优控制可以满足该需求。本文基于实际应用,研究了该技术对冷连轧机控制的理论和应用方面。建立轧机的数学模型,从中推导出非线性状态空间方程。使用这些方程式,开发了一种逐点线性二次最优控制器,并通过仿真确定了其对于运行速度和乘积变化的性能。仿真也证实了对干扰和不确定性的鲁棒性。将结果与使用典型行业惯例的结果进行比较。

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    Pittner John R.;

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