A Unifying Theory of Least-Squares Padé Model Reduction Methods-Reference-Cited by-同舟云学术

A Unifying Theory of Least-Squares Padé Model Reduction Methods

Published:1996-05 Issue:2 Volume:210 Page:95-102
ISSN:0959-6518
Container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

Author:

Smith I D¹,Lucas T N¹

Affiliation:

1. Division of Mathematical Sciences, University of Abertay Dundee, Dundee, Scotland

Abstract

The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Control and Systems Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1243/PIME_PROC_1996_210_442_02

Reference14 articles.

1. Padé techniques for model reduction in linear system theory: a survey

2. Model reduction for a class of linear dynamic systems

3. Model reduction by least-squares moment matching

4. Model reduction by generalised least-squares method

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A novel reduced order modeling of interval system using soft computing optimization approach;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2018-04-17

2. Optimal least squares model approximation for large-scale linear discrete-time systems;Transactions of the Institute of Measurement and Control;2016-05-20

3. An adaptive cascade compensator for a wide class of stable minimum or nonminimum phase plants through time moment estimation;International Journal of General Systems;2003-02

4. Flexible time-response matching in discrete model reduction;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;2000-08-01

5. Discrete-time least-squares Padé order reduction: A stability preserving method;Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering;1998-02-01