Distributed stabilisation of spatially invariant systems: positive polynomial approach

Kód výsledku v IS VaVaI

RIV/67985556:_____/13:00382623 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1007/s11045-011-0152-5

DOI - Digital Object Identifier

10.1007/s11045-011-0152-5

Jazyk výsledku

angličtina

Název v původním jazyce

Distributed stabilisation of spatially invariant systems: positive polynomial approach

Popis výsledku v původním jazyce

The paper gives a computationally feasible characterisation of spatially distributed controllers stabilising a linear spatially invariant system, that is, a system described by linear partial differential equations with coefficients independent on time and location. With one spatial and one temporal variable such a system can be modelled by a 2-D transfer function. Stabilising distributed feedback controllers are then parametrised as a solution to the Diophantine equation ax + by = c for a given stablebi-variate polynomial c. The paper is built on the relationship between stability of a 2-D polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are usually bilinear in the coefficients of the original polynomials.For low-order discrete-time systems it is shown that a linearising factorisation of the polynomial Schur-Cohn matrix exists. For higher order plants and/or controllers such factorisation is not possible as the solution set is non-convex a

Název v anglickém jazyce

Distributed stabilisation of spatially invariant systems: positive polynomial approach

Popis výsledku anglicky

The paper gives a computationally feasible characterisation of spatially distributed controllers stabilising a linear spatially invariant system, that is, a system described by linear partial differential equations with coefficients independent on time and location. With one spatial and one temporal variable such a system can be modelled by a 2-D transfer function. Stabilising distributed feedback controllers are then parametrised as a solution to the Diophantine equation ax + by = c for a given stablebi-variate polynomial c. The paper is built on the relationship between stability of a 2-D polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are usually bilinear in the coefficients of the original polynomials.For low-order discrete-time systems it is shown that a linearising factorisation of the polynomial Schur-Cohn matrix exists. For higher order plants and/or controllers such factorisation is not possible as the solution set is non-convex a

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

1M0567: Centrum aplikované kybernetiky

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Multidimensional Systems and Signal Processing

ISSN

1573-0824

e-ISSN

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Svazek periodika

24

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

3-21

Kód UT WoS článku

000312715000002

EID výsledku v databázi Scopus

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