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Transfer functions of distributed parameter systems: A tutorial

delete2009-05-01
delete223
PRE
AI
R
Ruth F. Curtain
K
Kirsten Morris *
DOI:10.1016/j.automatica.2009.01.008delete
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摘要

摘要

En 中文
In this tutorial article the rich variety of transfer functions for systems described by partial-differential equations is illustrated by means of several examples under various boundary conditions. An important feature is the strong influence of the choice of boundary conditions on the dynamics and on system theoretic properties such as pole and zero locations, properness, relative degree and minimum phase. It is sometimes possible to design a controller using the irrational transfer function, and several such techniques are outlined. More often, the irrational transfer function is approximated by a rational one for the purpose of controller design. Various approximation techniques and their underlying theory are briefly discussed. (C) 2009 Elsevier Ltd. All rights reserved.
Keyword:
Infinite-dimensional systems
Partial-differential equations
Control theory
Distributed parameter systems
Relative degree
Minimum phase
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期刊

Automatica 封面图
Automatica
IF:
5.9
论文数:
1.2W
被引数:
5.2W

机构

U
University of Groningen
学者数:
4.4W
论文数: 4.3W
被引数: 5.9W
U
University of Waterloo
学者数:
2.2W
论文数: 2.3W
被引数: 3.3W
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