Identification of Systems Described by Partial Differential Equations
Identification of Systems Described by Partial Differential Equations
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DOI：
10.1115/1.3645880
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发表时间：
1966-06
期刊：
影响因子：
--
通讯作者：
F. Perdreauville;R. Goodson
中科院分区：
文献类型：
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作者：
F. Perdreauville;R. Goodson
给出了分布参数系统辨识的一种方法。可以使用正常的操作记录或实验数据。该方法涉及到在一个假设的偏微分方程模型的系统中的任意参数的确定。该方法同样适用于线性和非线性方程，以及变系数方程。结果的准确性取决于模型的精确性、所使用的数据量、数值积分中的误差以及数据中存在的噪声量。最后给出了应用实例。结果使用的物理系统的识别方法。
A method is given for the identification of distributed parameter systems. Normal operating records or experimental data may be used. The method involves the determination of arbitrary parameters in an assumed partial differential-equation model of the system. The method applies equally well to linear and nonlinear equations, and equations with varying coefficients. The accuracy of the results depends upon the exactness of the model, the amount of data used, the error in numerical integration, and the amount of noise which is present in the data. Examples are given which illustrate the application of the method. Results using the method for the identification of a physical system are given.