A New Numerical Approach to Transfer Functions of LTI-PDEs⁎

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2025-01-01 DOI:10.1016/j.ifacol.2025.03.018

Jan M. Schaßberger , Veit Hagenmeyer , Lutz Gröll

引用次数: 0

Abstract

In the present paper, we introduce a new approach for the numerical calculation of transfer functions of linear time-invariant partial differential equations in a non-parametric form, e.g. for a subsequent approximation using (non-) rational transfer functions. With the approach, the closed-form solution of the transfer function is represented using a state transition matrix. Thus, the value of the transfer function at explicit values of the complex frequency can be determined by numerically solving the matrix differential equation of the former. The idea is illustrated using an example. In addition, a comparison with the system’s closed-form solution is carried out and the advantages of the new approach over an established one based on a finite-dimensional approximation are shown.

查看原文本刊更多论文

LTI-PDEs传递函数的一种新的数值方法[j]

本文介绍了线性定常偏微分方程非参数形式的传递函数数值计算的一种新方法，例如利用（非）有理传递函数进行后续逼近。利用该方法，用状态转移矩阵表示传递函数的封闭解。因此，可以通过数值求解前者的矩阵微分方程来确定传递函数在复频率显值处的值。用一个例子来说明这个思想。此外，还与系统的封闭解进行了比较，表明了新方法相对于基于有限维近似的现有方法的优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

期刊介绍： All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.