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结构分离和参数分离的灰箱建模

DOI: 10.3969/j.issn.1006-7043.201009034

Keywords: 结构分离, 参数分离, 灰箱建模, 连续釜式反应器

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Abstract:

为解决复杂系统的建模问题,以石化工业中广泛应用的连续搅拌釜式反应器(CSTR)为背景,提出以结构分离和参数分离为基础的灰箱建模方法。建模的思路是充分利用系统的先验知识,最大可能的保留系统的已知结构和参数,以保证建立的模型从内部到外部逼近原型系统。在对非线性系统进行结构分解后,建模步骤分两步进行:对反应速率中的Arrhenius 方程进行对数变换,可使用便捷、有效的最小二乘算法拟合其中的未知参数;仅对线性部分的未知参数进行辨识,不仅大大降低模型的训练时间,更是提高了模型的灰箱性,从而保证模型的可靠性和泛化能力。通过与常规使用的全参数辨识的建模方法对比,证明了该方法的有效性.

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