Journal
AUTOMATICA
Volume 45, Issue 5, Pages 1101-1116Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2009.01.008
Keywords
Infinite-dimensional systems; Partial-differential equations; Control theory; Distributed parameter systems; Relative degree; Minimum phase
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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.
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