A Best Consistent Approximation Approximation Method for Roll Ring Failure

Abstract

The invention provides an optimal uniform approximation treatment method for strip shape in failure of a roll collar. The method comprises the steps of acquiring a strip shape measuring signal to obtain roller collar quantity n, uniform distribution abscissa x (n) and failed roll collar quantity nf; then calculating the strip shape abscissa x' (n) meeting the optimal uniform approximation condition according to chebyshev theorem; selecting a coordinate x (nf) to be filled according to the failed roll collar quantity nf to generate a treated new coordinate xf (n); then calculating the strip shape value sf (n) at the coordinate xf (n) according to piecewise interpolation functions; applying the xf (n) and sf (n) to closed-loop control calculation. The optimal uniform approximation treatment method for the strip shape in the failure of the roll collar has the advantages that the optimal uniform approximation of the strip shape data under the failure of the roll collar can be achieved, thus the maximum regression difference of the measured strip shape value can be reduced, the strip shape control quality under the failure of the roll collar can be improved, and as a result, the yield of rolling and processing can be raised.

Description

technical field [0001] The invention relates to a flatness data processing method, in particular to a flatness optimal consistent approximation processing method for roll ring failure, and belongs to the technical field of rolling mill control. Background technique [0002] In the rolling process of metal sheet, strip and foil, the shape quality is one of the key technical indicators. Plate shape generally refers to the elongation of each part along the transverse direction of the strip, sometimes also called straightness or flatness. When the quality of the plate shape is poor, the strip will produce waves and warps, which will affect the production, and even make the production process unable to go smoothly. Therefore, more and more attention has been paid to the theoretical and applied research on shape control. [0003] In the shape closed-loop control system, the shape pattern recognition algorithm is the core of the closed-loop control. It maps the shape measurement ...

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Problems solved by technology

[0005] Using this shape data processing method, the optimization result under the least square sum index is generally obtained. Although it has its advantages, it also has certain limitations, that is, it cannot guarantee the minimum range of the absolute value of the local deviation.

For example, for given n data, after using polynomial regression, although the sum of squares of the deviation between the actual value and the calculated value e(n) 2 The smallest, but the absolute value of the deviation at individual points may be out of tolerance, and it does not guarantee that the absolute value of the deviation |e(n)| is the smallest

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