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Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations

Varga, Andreas und Johansson, S. und Shiriaev, A. (2007) Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations. In: Proceedings of IFAC Workshop on Periodic Control Systems, St. Petersburg, Russia. IFAC 2007, St. Petersburg, Russia.

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Kurzfassung

Abstract - One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems. The first problem arises from a stabilization problem for an artificially constructed time-varying linear systems for which the exact solution is known. The second problem originates from a nonlinear stabilization problem for numercial comparisons have been performed using both general purpose and symplectic integration methods for solving the associated Hamiltontian differential systems. In the multi-shot method a stable subspace is determined using recently published algorithms for computing a reodered periodic real Schur form. The obtained results show the increased accuracy achievable by combining multi-shot methods with structure preserving (symplectic) integration techniques.

Dokumentart:Konferenzbeitrag (Vortrag, Paper)
Titel:Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Varga, AndreasNICHT SPEZIFIZIERT
Johansson, S.Department of Computing Science, Umeå University, SE-90187 Umeå Sweden
Shiriaev, A.Department of Applied Physics and Electronic, Umeå University, SE-90187 Umeå Sweden
Datum:2007
Erschienen in:Proceedings of IFAC Workshop on Periodic Control Systems, St. Petersburg, Russia
Referierte Publikation:Ja
In ISI Web of Science:Nein
Status:veröffentlicht
Stichwörter:-
Veranstaltungstitel:IFAC 2007
Veranstaltungsort:St. Petersburg, Russia
Veranstaltungsart:internationale Konferenz
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Luftfahrt
HGF - Programmthema:Starrflügler
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L AR - Starrflüglerforschung
DLR - Teilgebiet (Projekt, Vorhaben):L - Systeme & Kabine
Standort: Oberpfaffenhofen
Institute & Einrichtungen:Institut für Robotik und Mechatronik > Systemdynamik und Regelungstechnik (war Entwurfsorientierte Regelungstechnik)
Hinterlegt von: Monika Klauer
Hinterlegt am:09 Jun 2008
Letzte Änderung:12 Dez 2013 20:27

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