Title :
A method to determine a flat output and the parametrization of the solution of some systems described by partial differential equations
Author :
Fleck, Ch. ; Abel, D.
Author_Institution :
Aachen University of Technology, Institute of Automatic Control, Steinbachstr. 54, D-52074 Aachen, Germany
Abstract :
This paper presents a method to determine the flat output of some one dimensional boundary controlled distributed systems. Once the flat output determined, the parametrization of the solution is achieved using a Taylor-expansion in the space coordinate variable of the flat output. The procedure is illustrated by two problems related to heat transfer, described respectively by a parabolic and a hyperbolic partial differential equation.
Keywords :
Boundary conditions; Heat transfer; Heating; Mathematical model; Shape; Stationary state; Taylor series; Taylor-expansion; distributed-parameter systems; flatness; heat transfer; open loop control;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
