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Spatio-temporal loop shaping for distributed control of PDE systems
Citation Link: https://doi.org/10.15480/882.3541
Publikationstyp
Conference Paper
Date Issued
2020
Sprache
English
Author(s)
Schug, Ann-Kathrin
Institut
TORE-DOI
TORE-URI
Journal
Volume
53
Issue
2
Start Page
4014
End Page
4019
Citation
IFAC World Congress 53 (2): 4014-4019 (2020)
Contribution to Conference
Publisher DOI
Scopus ID
Publisher
Elsevier
The systems of interest in this paper are described by a possibly large number of interconnected subsystems, where the spatial discretization into subsystems is induced by applying an array of collocated actuator/sensor pairs. When considering these types of systems in a classical centralized fashion, they have a high number of input/output signals on one hand, and usually a sparse structure on the other. While the method of loop-shaping in classical control is well-established, the notion of spatially distributed systems makes it possible to extend frequency domain loop shaping to spatial frequencies and to include weighting filters with spatio-temporal dynamics. By using a Fourier transform, controller synthesis can be done for each spatial frequency at a time. This method is applied to the control of the temperature distribution of a thin metal rod.
Subjects
Spatially-interconnected systems
distributed systems
spatio-temporal loopshaping
large-scale systems
partial differential equations
DDC Class
600: Technik
620: Ingenieurwissenschaften
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