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一种高效的快速近似控制向量参数化方法

DOI: 10.16383/j.aas.2015.c140031, PP. 67-74

Keywords: 流程工业,最优控制,控制向量参数化,计算效率,快速近似

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Abstract:

?控制向量参数化(Controlvectorparameterization,CVP)方法是目前求解流程工业中最优操作问题的主流数值方法,然而,该方法的主要缺点之一是计算效率较低,这是因为在求解生成的非线性规划(Nonlinearprogramming,NLP)问题时,需要随着控制参数的调整,反复不断地求解相关的微分方程组,这也是CVP方法中最耗时的部分.为了提高CVP方法的计算效率,本文提出一种新颖的快速近似方法,能够有效减少微分方程组、函数值以及梯度的计算量.最后,两个经典的最优控制问题上的测试结果及与国外成熟的最优控制软件的比较研究表明:本文提出的快速近似CVP方法在精度和效率上兼有良好的表现.

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