Transfer functions of distributed parameter systems: A tutorial

Ruth Curtain, Kirsten Morris*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

193 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1101-1116
Number of pages16
JournalAutomatica
Volume45
Issue number5
DOIs
Publication statusPublished - May-2009

Keywords

  • Infinite-dimensional systems
  • Partial-differential equations
  • Control theory
  • Distributed parameter systems
  • Relative degree
  • Minimum phase
  • INFINITE-DIMENSIONAL SYSTEMS
  • COPRIME FACTORIZATIONS
  • MODEL-REDUCTION
  • LINEAR-SYSTEMS
  • APPROXIMATION
  • STABILIZATION
  • ALGEBRA
  • BOUNDS
  • GAIN

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