Počet záznamů: 1
Distributed stabilisation of spatially invariant systems: positive polynomial approach
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SYSNO ASEP 0382623 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Distributed stabilisation of spatially invariant systems: positive polynomial approach Tvůrce(i) Augusta, Petr (UTIA-B) RID
Hurák, Z. (CZ)Celkový počet autorů 2 Zdroj.dok. Multidimensional Systems and Signal Processing. - : Springer - ISSN 0923-6082
Roč. 24, Č. 1 (2013), s. 3-21Poč.str. 19 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Multidimensional systems ; Algebraic approach ; Control design ; Positiveness Vědní obor RIV BC - Teorie a systémy řízení CEP 1M0567 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UTIA-B - RVO:67985556 CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000312715000002 EID SCOPUS 84871789562 DOI 10.1007/s11045-011-0152-5 Anotace 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 stable bi-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 and one has to resort to some relaxation. For continuous-time systems, an analogue factorisation of the polynomial Hermite-Fujiwara matrix is not known. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2013
Počet záznamů: 1