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Use of reduced forms in the disturbance decoupling problem
dc.contributor.author | Compta Creus, Albert |
dc.contributor.author | Ferrer Llop, Josep |
dc.contributor.author | Peña Carrera, Marta |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2011-01-11T08:35:12Z |
dc.date.available | 2011-01-11T08:35:12Z |
dc.date.created | 2009-03 |
dc.date.issued | 2009-03 |
dc.identifier.citation | Compta, A.; Ferrer, J.; Peña, M. Use of reduced forms in the disturbance decoupling problem. "Linear algebra and its applications", Març 2009, vol. 430, núm. 5-6, p. 1574-1589. |
dc.identifier.issn | 0024-3795 |
dc.identifier.uri | http://hdl.handle.net/2117/10948 |
dc.description.abstract | Specific algorithms, such as those involving the supremal of the invariant subspaces contained in a suitable subspace, are known to be able to test whether a disturbance decoupling problem (DDP) is solvable. Here, by reducing the system to its Molinari form, we obtain an alternative description of this supremal object and compute its dimension. Hence we have a general result for solving the decoupling provided that a Molinari basis is known. In particular, a necessary numerical condition for it is derived. The same technique is applied to the DDPS, that is, when stability of the decoupled closed loop system is required. |
dc.format.extent | 16 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Disturbance decoupling problem |
dc.subject.other | Invariant subspaces |
dc.subject.other | Controllability subspaces |
dc.subject.other | Molinari reduced form |
dc.title | Use of reduced forms in the disturbance decoupling problem |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1016/j.laa.2008.04.033 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure |
dc.subject.ams | Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems |
dc.relation.publisherversion | http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V0R-4SR084M-1-1&_cdi=5653&_user=1517299&_pii=S0024379508001869&_origin=browse&_zone=rslt_list_item&_coverDate=03%2F01%2F2009&_sk=995699994&wchp=dGLzVtz-zSkzk&md5=e9aa260ab094469919a6f2c5df3c6479&ie=/sdarticle.pdf |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 691365 |
dc.description.version | Postprint (published version) |
local.citation.author | Compta, A.; Ferrer, J.; Peña, M. |
local.citation.publicationName | Linear algebra and its applications |
local.citation.volume | 430 |
local.citation.number | 5-6 |
local.citation.startingPage | 1574 |
local.citation.endingPage | 1589 |
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