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/ | ||||||||
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Document Type: | Article | ||||||||
Additional Information: | LIDO-Berichtsjahr=1992, | ||||||||
Title: | On Robust Stability of Polynomials with Polynomial Parameter Dependency: Two/Three Parameter Cases | ||||||||
Authors: |
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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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