About: On stabilisability of 2-D MIMO shift-invariant systems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We concentrate on the linear spatially distributed time-invariant two-dimensional systems with multiple inputs and multiple outputs and with control action based on an array of sensors and actuators connected to the system. The system is described by the bivariate matrix polynomial fraction. Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are not linear in the controller parameters, however, in simple cases, a linearising factorisation exists. It allows to describe the control design in the form of a linear matrix inequality. In more complicated cases, linear sufficient conditions are given. This concept is applied to a system with multiple outputs—a heat conduction in a long thin metal rod equipped with an array of temperature sensors and heaters, where heaters are placed in larger distances than sensors. We concentrate on the linear spatially distributed time-invariant two-dimensional systems with multiple inputs and multiple outputs and with control action based on an array of sensors and actuators connected to the system. The system is described by the bivariate matrix polynomial fraction. Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are not linear in the controller parameters, however, in simple cases, a linearising factorisation exists. It allows to describe the control design in the form of a linear matrix inequality. In more complicated cases, linear sufficient conditions are given. This concept is applied to a system with multiple outputs—a heat conduction in a long thin metal rod equipped with an array of temperature sensors and heaters, where heaters are placed in larger distances than sensors. (en)
Title	On stabilisability of 2-D MIMO shift-invariant systems On stabilisability of 2-D MIMO shift-invariant systems (en)
skos:prefLabel	On stabilisability of 2-D MIMO shift-invariant systems On stabilisability of 2-D MIMO shift-invariant systems (en)
skos:notation	RIV/67985556:_____/13:00398772!RIV14-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GPP103/12/P494)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Augustová, Petra Augusta, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	93813
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00398772
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	spatially invariant system; stabilisation; multiple-input-multiple-output system,; positive polynomial (en)
http://linked.open.../riv/klicoveSlovo	positive polynomial spatially invariant system stabilisation multiple-input-multiple-output system
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[5846944C59CB]
http://linked.open...i/riv/nazevZdroje	Journal of the Franklin Institute-Engineering and Applied Mathematics
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling and control of spatially distributed systems via polynomial approach
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	350
http://linked.open...iv/tvurceVysledku	Augusta, Petr Augustová, Petra
http://linked.open...ain/vavai/riv/wos	000327909800008
issn	0016-0032
number of pages	18 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jfranklin.2013.05.021

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