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On Robust Stability of Polynomials with Polynomial Parameter Dependency: Two/Three Parameter Cases

Kaesbauer, D. (1993) On Robust Stability of Polynomials with Polynomial Parameter Dependency: Two/Three Parameter Cases. Automatica, No. 1, pp. 215-217. ISSN 0005-1098

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Abstract

We consider real polynomials whose coefficients depend polynomially on the elements of an uncertain parameter vector. The size of perturbation is characterized by the weighted norm of the parameter vector. The smallest destabilizing perturbation defines the stability radius of the set of uncertain polynomials. It is shown that determining this radius is equivalent to solving a finite set of systems of algebraic equations and picking out the real solution with the smallest norm. The number of systems of equations increases mainly with the kind of polynomial dependency and the degree of the polynomial. This method also yields the smallest destabilizing parameter combination and the corresponding critical frequency. For two or three parameters this transformed problem can be solved using symbolic and numeric computations.

Item URL in elib:https://elib.dlr.de/27980/
Document Type:Article
Additional Information: LIDO-Berichtsjahr=1992,
Title:On Robust Stability of Polynomials with Polynomial Parameter Dependency: Two/Three Parameter Cases
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kaesbauer, D.UNSPECIFIEDUNSPECIFIED
Date:1993
Journal or Publication Title:Automatica
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:Yes
Volume:No. 1
Page Range:pp. 215-217
Series Name:Vol.29
ISSN:0005-1098
Status:Published
Keywords:Robust Control; Robustness; Stability; Polynomials; Nonlinear equations.
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Robotic Systems
Deposited By: DLR-Beauftragter, elib
Deposited On:13 Nov 2007
Last Modified:27 Apr 2009 06:50

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