An Algebraic Approach to the Control of Spatially Distributed Systems --- the 2-D Systems Case with a Physical Application

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F07%3A00133581" target="_blank" >RIV/68407700:21230/07:00133581 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An Algebraic Approach to the Control of Spatially Distributed Systems --- the 2-D Systems Case with a Physical Application
Original language description
In this paper we develop new results on control systems design for spatially distributed linear systems using an n-D systems approach. The basic ideas are explained using as an example heat conduction in a rod where the measurements and control action applied are based on an array of sensors and heaters. The first part of the analysis given shows how the process dynamics for this case can be approximately described by a 2-D transfer function, i.e. a fraction of two bivariate polynomials. This is followed by stability analysis and tests. Finally, a Youla-Kučera parametrization of all stabilizing controllers is used to develop a simple design procedure for H2-optimal control laws.
Czech name
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Czech description
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Project
<a href="/en/project/1M0567" target="_blank" >1M0567: Centre for Applied Cybernetics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Preprints of the 3rd IFAC Symposium on System, Structure and Control
ISBN
978-3-902661-36-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
Universidade Federal do Rio Grande do Sul - UFRGS
Place of publication
Foz do Iguassu
Event location
Foz do Iguassu
Event date
Oct 17, 2007
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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