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On Robust Stability of Polynomials with Polynomial Parameter Dependency

Kaesbauer, D. (1991) On Robust Stability of Polynomials with Polynomial Parameter Dependency. International Workshop on Robustness of Control Systems, Kappel am Albis, Schweiz, 09.-12.09.1991.

Full text not available from this repository.

Abstract

We consider uncertain polynomials whose coefficients depend polynomially on the elements of the parameter vector. The size of perturbation is characterized by the weighted norm of the perturbed parameter vector. The maximal 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 smallest solution. The number of systems depend crucially on the dimension of the parameter vector, whereas the complexity of systems increases mainly with the kind of polynomial dependency and the degree of the polynomial. This method also yields the critical parameter combination and the corresponding critical frequency. For a small number of parameters, this transfomed problem can be solved by symbolic computations. For a large number of parameters, numerical methods must be used.

Item URL in elib:https://elib.dlr.de/27928/
Document Type:Conference or Workshop Item (Speech)
Additional Information: LIDO-Berichtsjahr=1991,
Title:On Robust Stability of Polynomials with Polynomial Parameter Dependency
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Kaesbauer, D.UNSPECIFIEDUNSPECIFIED
Date:1991
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Event Title:International Workshop on Robustness of Control Systems, Kappel am Albis, Schweiz, 09.-12.09.1991
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 06:49

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