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Generalized LFT-Based Representation of Parametric Uncertain Models

Hecker, S. and Varga, A. (2004) Generalized LFT-Based Representation of Parametric Uncertain Models. European Journal of Control, 10 (4), pp. 326-337.

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Abstract

In this paper, we introduce a general descriptor-type linear fractional transformation (LFT) representation of rational parametric matrices. This is a generalized representation of arbitrary rationally dependent multivariate functions in LFT-form. As applications, we develop explicit LFT-realizations of the transfer-function matrix of a linear descriptor system whose state-space matrices depend rationally on a set of uncertain parameters. The resulting descriptor LFT-based uncertainty models generally have smaller orders than those obtained by using the standard LFT-based modelling approach. An example of an uncertain vehicle model illustrates the capability of the method.

Item URL in elib:https://elib.dlr.de/12239/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=2005,
Title:Generalized LFT-Based Representation of Parametric Uncertain Models
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hecker, S.UNSPECIFIEDUNSPECIFIED
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:2004
Journal or Publication Title:European Journal of Control
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:10
Page Range:pp. 326-337
Status:Published
Keywords:Linear Fractional Transformation (LFT); Descriptor Systems; Robust Control; Parametric Uncertainties
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012)
Deposited By: DLR-Beauftragter, elib
Deposited On:31 Jan 2006
Last Modified:31 Jul 2019 19:15

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