elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Impressum | Kontakt | English
Schriftgröße: [-] Text [+]

The Method of Singular Frequencies for Robust Control Design in an Affine Parameter Space

Bajcinca, N. (2001) The Method of Singular Frequencies for Robust Control Design in an Affine Parameter Space. In: Proc. of MED'01, Seiten 100-105. 9th Mediterranean Conference on Control and Automation, June 27-29, 2001. ISBN 953-6037-35-1.

Dieses Archiv kann nicht den gesamten Text zur Verfügung stellen.

Kurzfassung

The Method of Singular Frequencies is an elegant tool for design of controllers in an affine parameter space. The essential aspects of the method were already introduced in [4], [1] and [2]. In [4] stable PID controlleres are designed by making use of the Theorem of Hermite-Biehler. It was shown that for a fixed proportional-term kp, convex stable polygons result. In [1] it was shown that actually the singular frequencies reside behind this 'mystery', and the method was extended also for sigma stability. In [2] the linear transformation of parameters was introduced to extend the PID design also for circle-stability. In this paper we generalize this approach for controllers in an affine parameter space. The concept of a singular Gamma region is introduced. Particularly, PID-controllers are studied in a systematic approach, as the first step towards the generalization of the method. A symbolic method for detection of stable polygons is introduced. Subsequently robust control of time delay systems is discussed. Finally the method is generalized for design of the robust affine controllers in a three-parameter-space. Gamma-space and gamma-vectors are introduced to derive the set of all singular Gamma regions for a given structure of the affine controller. Presently the method is more suited for the design of controllers, especially for digital control.

Dokumentart:Konferenzbeitrag (Paper)
Zusätzliche Informationen: LIDO-Berichtsjahr=2002,
Titel:The Method of Singular Frequencies for Robust Control Design in an Affine Parameter Space
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Bajcinca, N.NICHT SPEZIFIZIERT
Datum:2001
Erschienen in:Proc. of MED'01
Seitenbereich:Seiten 100-105
ISBN:953-6037-35-1
Status:veröffentlicht
Stichwörter:Singular frequency, singular Gamma region, parameter-space method, robust control.
Veranstaltungstitel:9th Mediterranean Conference on Control and Automation, June 27-29, 2001
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Luftfahrt
HGF - Programmthema:keine Zuordnung
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L ST - Starrflüglertechnologien
DLR - Teilgebiet (Projekt, Vorhaben):NICHT SPEZIFIZIERT
Standort: Oberpfaffenhofen
Institute & Einrichtungen:Institut für Robotik und Mechatronik
Hinterlegt von: elib DLR-Beauftragter
Hinterlegt am:16 Sep 2005
Letzte Änderung:14 Jan 2010 18:00

Nur für Mitarbeiter des Archivs: Kontrollseite des Eintrags

Blättern
Suchen
Hilfe & Kontakt
Informationen
electronic library verwendet EPrints 3.3.12
Copyright © 2008-2013 Deutsches Zentrum für Luft- und Raumfahrt (DLR). Alle Rechte vorbehalten.