Robust Control of Descriptor Systems
| dc.contributor.author | Losse, Philip | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Poppe, Lisa Katrin | |
| dc.contributor.author | Reis, Timo | |
| dc.date.accessioned | 2021-12-17T10:07:15Z | |
| dc.date.available | 2021-12-17T10:07:15Z | |
| dc.date.issued | 2007-12-04 | |
| dc.description.abstract | The $\mathcal{H}_\infty$ control problem is studied for linear constant coefficient descriptor systems. Necessary and sufficient optimality conditions are derived in terms of deflating subspaces of even matrix pencils for index one systems as well as for higher index problems. It is shown that this approach leads to a more robust method in computing the optimal value $\gamma$ in contrast to other methods such as the widely used Riccati based approach. The results are illustrated by a numerical example. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15606 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14379 | |
| 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 | descriptor system | en |
| dc.subject.other | $\mathcal{H}_\infty$-control | en |
| dc.subject.other | algebraic Riccati equation | en |
| dc.subject.other | even matrix pencil | en |
| dc.subject.other | deflating subspace | en |
| dc.title | Robust Control of Descriptor Systems | 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 | 2007, 47 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 93B36 H∞-control | en |
| tub.subject.msc2000 | 34A09 Implicit equations, differential-algebraic equations | en |