A simple method for stabilisation of (2+1)D systems
Result description
The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation ofsystems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A simple method for stabilisation of (2+1)D systems
Original language description
The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation ofsystems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
GPP103/12/P494: Modelling and control of spatially distributed systems via polynomial approach
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 8th Int. Workshop on Multidimensional Systems (nDS 13)
ISBN
978-3-8007-3543-3
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
163-167
Publisher name
VDE Verlag GMBH 2013
Place of publication
Erlangen
Event location
Erlangen
Event date
Sep 9, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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Result type
D - Article in proceedings
CEP
BC - Theory and management systems
Year of implementation
2013