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Computation of the Frequency Response of Systems with Uncertain Parameters: A Simplification

Bartlett, A.C. (1991) Computation of the Frequency Response of Systems with Uncertain Parameters: A Simplification. International Workshop on Robustness of Control Systems, Kappel am Albis, Schweiz, 09.-12.09.1991.

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Abstract

Computation of all possible frequency responses of a linear system that depends on M uncertain parameters is the subject of this paper. Using a brute force approach, this computation requires an M+1-dimensional parameter sweep, i.e. there is the usual frequency sweep plus one sweep for each uncertain parameter. If the system's transfer function has a linear dependence on the parameters, then determination of the frequency response can be greatly simplified. It has previously been shown that, for a single fixed frequency, all possible responses can be determined using several 1-dimensional sweeps. Thus, for a range of frequencies, the obvious extension would involve several 2-dimensional sweeps. However, this obvious extension is not the simplest way to carry out the computation. Indeed, this paper will show that all possible responses for a range of frequencies can be determined using just a finite number of 1-dimensional sweeps. This result is applicable to both continuous-time and discrete-time systems.

Item URL in elib:https://elib.dlr.de/27926/
Document Type:Conference or Workshop Item (Speech)
Additional Information: LIDO-Berichtsjahr=1991,
Title:Computation of the Frequency Response of Systems with Uncertain Parameters: A Simplification
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bartlett, A.C.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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