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.pages | 16 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 1999 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 1999,11 |