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基于高次勒让德正交多项式和调控功效函数,提出了降维功效调控模型及两级调控模型.首先,利用连续可导的高次曲线准确描述局部板形信息,同时降低影响系数矩阵的维数和功效函数的计算量,利用传统板形调控手段(倾辊、弯辊、横移)同步消除典型板形缺陷;然后,利用精细分段冷却实施剩余板形偏差的二级调控,改善局部浪形缺陷,提高成批钢卷的生产稳定性和板形质量.实例表明,当阶数为带钢覆盖检测通道数量的一半以上时,拟合曲线已包含所有的局部板形信息;对于相对较典型的板形问题(50 I左右),一级调控后剩余板形偏差在15 I以内,二级调控后剩余板形偏差在8I以内,综合调控效果比较理想.

Based on high-order Legendre polynomial function and regulation efficacy,the dimensionality reduction effi-ciency inherited regulation method and the two-loop comprehensive regulation control model are established. First,the l ocal shape information was described by the high-order curve,while the dimension of influence coefficient matrix and the computing amount of power function are reduced,typical shape deviations are synchronous eliminated by using tradition-al shape control means(tilting roll,roll bending and shifting). Then,the secondary regulation of finely segmented cooling is carried out for remaining shape deviation,and to remove local wave defects and improve the production stability and shape quality. Examples show that when the order was covered by more than half of strip detection channel number,the fit-ted curve already contained all the local shape information. For relatively typical bad shape state(about 50 I),the remain-ing shape deviation was within 15 I after the first regulation,after the secondary regulation,the remaining shape deviation within 8 I,which showed the integrated control effect was ideal.

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