1999-07-01Buch DOI: 10.18452/2695
Pade's Approximation of Sampled Data Controllers
 dc.contributor.author Vivas, Zenith E. dc.contributor.author Ferrer, José J. dc.date.accessioned 2017-06-15T18:00:21Z dc.date.available 2017-06-15T18:00:21Z dc.date.created 2005-11-16 dc.date.issued 1999-07-01 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3347 dc.description.abstract In 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.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ dc.subject hybrid stability eng dc.subject inner and outer functional eng dc.subject lifting technique eng dc.subject Pade's approximating polynomials eng dc.subject.ddc 510 Mathematik dc.title Pade's Approximation of Sampled Data Controllers dc.type book dc.identifier.urn urn:nbn:de:kobv:11-10053698 dc.identifier.doi http://dx.doi.org/10.18452/2695 local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 16 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 1999 local.edoc.container-issue 11 local.edoc.container-year 1999 local.edoc.container-erstkatid 2075199-0