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On the Computation of Value Sets for Robust Stability Analysis

Ackermann, J. and Sienel, W. (1991) On the Computation of Value Sets for Robust Stability Analysis. In: Proc. ECC 91, Vol. 2, pp. 1345-1350. European Control Conference ECC 91, Grenoble, 02.-05.07.1991.

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Abstract

Robust stability problems arise, if a system depends on uncertain parameters. For a large number of parameters conventional methods break down. However, if the system allows a "tree-structured decomposition" of its characteristic polynomial or an equivalent rational characteristic equation, then the complex value sets respectively can be computed and displayed very fast and a robust stability test by zero exclusion from the value set can be performed by inspection. In this paper we show how to execute computer aided value set operations and demonstrate by way of mass-spring-damper systems how to preserve tree structures in technical systems.

Item URL in elib:https://elib.dlr.de/27830/
Document Type:Conference or Workshop Item (Paper)
Additional Information: LIDO-Berichtsjahr=1991,
Title:On the Computation of Value Sets for Robust Stability Analysis
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Ackermann, J.UNSPECIFIEDUNSPECIFIED
Sienel, W.UNSPECIFIEDUNSPECIFIED
Date:1991
Journal or Publication Title:Proc. ECC 91
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:Vol. 2
Page Range:pp. 1345-1350
Series Name:IB 515-91-6
Status:Published
Keywords:Tree-structured decomposition; complex value sets; robust stability test by zero exclusion.
Event Title:European Control Conference ECC 91, Grenoble, 02.-05.07.1991
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:no assignment
DLR - Research theme (Project):UNSPECIFIED
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Institut für Dynamik der Flugsysteme
Deposited By: DLR-Beauftragter, elib
Deposited On:02 Apr 2006
Last Modified:27 Apr 2009 06:47

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