A Closed-Form Solution to Estimate Spatially Varying Parameters in Heat and Mass Transport

被引：3

作者：

van Kampen, Ricky J. R. ^{[1
,2
]}

Das, Amritam ^{[3
]}

Weiland, Siep ^{[3
]}

van Berkel, Matthijs ^{[1
,2
]}

机构：

[1] DIFFER Dutch Inst Fundamental Energy Res, Energy Syst & Control Grp, NL-5612 AJ Eindhoven, Netherlands

[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[3] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands

来源：

IEEE CONTROL SYSTEMS LETTERS | 2021年 / 5卷 / 05期

关键词：

Mathematical model; Frequency measurement; Closed-form solutions; Estimation; Boundary conditions; Computational modeling; Loss measurement; Grey-box modeling; distributed parameter systems; identification; inverse problems;

D O I：

10.1109/LCSYS.2020.3042933

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter presents a closed-form solution to estimate space-dependent transport parameters of a linear one dimensional diffusion-transport-reaction equation. The infinite dimensional problem is approximated by a finite dimensional model by 1) taking a frequency domain approach, 2) linear parameterization of the unknown parameters, and 3) using a semi-discretization. Assuming full state knowledge, the commonly used output error criterion is rewritten as the equation error criterion such that the problem results in linear least squares. The optimum is then given by a closed-form solution, avoiding computational expensive optimization methods. Functioning of the proposed method is illustrated by means of simulation.

引用

页码：1681 / 1686

页数：6