Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
695207 | Automatica | 2016 | 7 Pages |
Abstract
The present work addresses continuous-time approximation of distributed parameter systems governed by linear one-dimensional partial differential equations. While approximation is usually realized by lumped systems, that is finite dimensional systems, we propose to approximate the plant by a time-delay system. Within the graph topology, we prove that, if the plant admits a coprime factorization in the algebra of BIBO-stable systems, any linear distributed parameter plant can be approximated by a time-delay system, governed by coupled differential–difference equations. Considerations on stabilization and state-space realization are carried out. A numerical method for constructive approximation is also proposed and illustrated.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Michaël Di Loreto, Sérine Damak, Damien Eberard, Xavier Brun,