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1999-07-01Buch DOI: 10.18452/2695
Pade's Approximation of Sampled Data Controllers
dc.contributor.authorVivas, Zenith E.
dc.contributor.authorFerrer, José J.
dc.date.accessioned2017-06-15T18:00:21Z
dc.date.available2017-06-15T18:00:21Z
dc.date.created2005-11-16
dc.date.issued1999-07-01
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3347
dc.description.abstractIn this work we consider a sampled data control system consisting of a continuous time plant and a controller, which is designed as: A uniform sampler plus a discrete time controller plus a zero order hold synchronizer. So, after fixing a sampling period h>0, and in order to take into account the intersampling behaviour of the plant, we apply the lifting technique developed in Bamieh, Dahleh, Pearson: Minimization of the ${\cal L}_\infty$-Induced Norm for Sampled Data Systems. IEEE Transactions on Automatic Control, Vol. 38, No. 5, 1993, pp. 717-732. Next, we consider certain output feedback conditions to construct a biparametric input output operator for the lifted system. Finally, after considering a representation of the family of non-linear and time-varying controllers, we come to our main objective of approaching any infinite-dimensional stabilizing controller by a discrete time but finite dimensional stabilizing one, all that by exhibiting an algorithm based on the theory of Pade's approximating polynomials.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjecthybrid stabilityeng
dc.subjectinner and outer functionaleng
dc.subjectlifting techniqueeng
dc.subjectPade's approximating polynomialseng
dc.subject.ddc510 Mathematik
dc.titlePade's Approximation of Sampled Data Controllers
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053698
dc.identifier.doihttp://dx.doi.org/10.18452/2695
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages16
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1999
local.edoc.container-issue11
local.edoc.container-year1999
local.edoc.container-erstkatid2075199-0

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