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Vertices and Segments of Interval Plants are not Sufficient for Step Response Analyses

Bartlett, A. and Tesi, A. (1) and Vicino, A. (2) (1) Univ. Florenz, Italy,, (1992) Vertices and Segments of Interval Plants are not Sufficient for Step Response Analyses. DLR-Interner Bericht. 515-92-08, 10 S.

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Abstract

Interval plants are of interest in control theory as models of uncertain systems. They are useful because many worst-case analyses of these models are simple to carry out. For example, robust stability of an interval plant can be determined by investigating only the four Kharitonov vertices of the denominator polynomial. Also, the maximum peak of the Bode magnitude plot can be found using just 16 special plant vertices. These 16 vertices are connectedby 32 special line segments. Most stability and frequency domain analyses that cannot be done using only the special vertices can be carried out and frequency domain analyses that cannot be done using only the special vertices can be carried out using just the segments. From these results, it is tempting to conjecture that the 16 vertices can be carried out using just the segments. From these results, it is tempting to conjecture that the 16 vertices or at least the 32 segments are adequate for step response analyses. This paper presents examples showing that these conjectures are not true.

Item URL in elib:https://elib.dlr.de/27943/
Document Type:Monograph (DLR-Interner Bericht)
Additional Information: LIDO-Berichtsjahr=1992,
Title:Vertices and Segments of Interval Plants are not Sufficient for Step Response Analyses
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bartlett, A.UNSPECIFIEDUNSPECIFIED
Tesi, A. (1)UNSPECIFIEDUNSPECIFIED
Vicino, A. (2) (1) Univ. Florenz, Italy,, UNSPECIFIEDUNSPECIFIED
Date:1992
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:10
Status:Published
Keywords:Uncertainty, Worst-Case Analyses, Step Responses, Interval Plants, Robustness
HGF - Research field:UNSPECIFIED
HGF - Program:Space (old)
HGF - Program Themes:W RP - Raumtransport
DLR - Research area:UNSPECIFIED
DLR - Program:W RP - Raumtransport
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 06:49

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