A new discretization framework for input/output maps and its application to flow control
| dc.contributor.author | Heiland, Jan | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Schmidt, Michael | |
| dc.date.accessioned | 2021-12-17T10:08:12Z | |
| dc.date.available | 2021-12-17T10:08:12Z | |
| dc.date.issued | 2009-12-22 | |
| dc.description.abstract | We discuss the direct discretization of the input/output map of linear time-invariant systems with distributed inputs and outputs. At first, the input and output signals are discretized in space and time, resulting in a matrix representation of an approximated input/output map. Then the system dynamics is approximated, in order to calculate the matrix representation numerically. The discretization framework, corresponding error estimates, a SVD-based system reduction method and a numerical application in optimization problems are presented, and illustrated for a heat control and a flow control system. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15654 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14427 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | flow-control | en |
| dc.subject.other | Oseen equation | en |
| dc.subject.other | tokes equation | en |
| dc.subject.other | input/output map | en |
| dc.subject.other | discretization | en |
| dc.subject.other | differential-algebraic equation | en |
| dc.title | A new discretization framework for input/output maps and its application to flow control | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2009, 29 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | en |
| tub.subject.msc2000 | 93C95 Applications | en |