Title :
A model reduction algorithm for irrational transfer functions with application to leak detection in pipelines
Author :
Anfinsen, Henrik ; Aamo, Ole Morten
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
Abstract :
In this paper, we develop an algorithm for determining an estimate of a function´s truncated Laguerre spectrum from the function´s Laplace transform. The algorithm can be used alongside an already established Laguerre Gram model reduction scheme to obtain rational approximations to irrational transfer functions, suitable for simulation on a computer. The algorithm is then demonstrated on an infinite-dimensional leak size and location observer for a pipeline.
Keywords :
Laplace transforms; approximation theory; leak detection; pipelines; sensors; stochastic processes; transfer functions; Laguerre Gram model reduction scheme; Laplace transform; approximation theory; infinite-dimensional leak location observer; infinite-dimensional leak size observer; irrational transfer function; leak detection; pipeline; truncated Laguerre spectrum; Approximation algorithms; Function approximation; Observers; Pipelines; Reduced order systems; Transfer functions;
Conference_Titel :
American Control Conference (ACC), 2015
Print_ISBN :
978-1-4799-8685-9
DOI :
10.1109/ACC.2015.7171841
