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LFT model generation via l1-regularized least squares

Pfifer, Harald and Hecker, Simon (2013) LFT model generation via l1-regularized least squares. In: Selected Papers of the Second Specialist Conference on Guidance, Navigation and Control, pp. 85-98. Springer Verlag. 2nd CEAS Specialist Conference on Guidance, Navigation & Control, 10.-12. Apr. 2013, Delft, The Netherlands. ISBN 978 3 642 38252 9

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Official URL: http://link.springer.com/chapter/10.1007/978-3-642-38253-6_7

Abstract

The paper presents a general approach to approximate a nonlinear system by a linear fractional representation (LFR), which is suitable for LFT-based robust stability analysis and control design. In a first step, the nonlinear system will be transformed into a quasi linear parameter varying (LPV) system. In the second step, the nonlinear dependencies in the quasi-LPV, which are not rational in the parameters, are approximated using polynomial fitting based on l1-regularized least squares. Using this approach an almost Pareto front between the accuracy and complexity of the resulting LFR can be efficiently obtained. The effectiveness of the proposed method is demonstrated by applying it to a nonlinear missile model of industrial complexity.

Item URL in elib:https://elib.dlr.de/83743/
Document Type:Conference or Workshop Item (Speech)
Title:LFT model generation via l1-regularized least squares
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Pfifer, HaraldDLR-SRUNSPECIFIED
Hecker, SimonHAW MünchenUNSPECIFIED
Date:June 2013
Journal or Publication Title:Selected Papers of the Second Specialist Conference on Guidance, Navigation and Control
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 85-98
Editors:
EditorsEmail
Chu, QipingTU-Delft
Mulder, BobTU-Delft
Choukroun, DanielTU-Delft
van Kampen, Erik-JanTU-Delft
de Visser, CoenTU-Delft
Looye, GertjanDLR-SR
Publisher:Springer Verlag
Series Name:Advances in Aerospace Guidance, Navigation and Control
ISBN:978 3 642 38252 9
Status:Published
Keywords:flight control, robust control, Linear Fractional Transformations, LPV control
Event Title:2nd CEAS Specialist Conference on Guidance, Navigation & Control
Event Location:Delft, The Netherlands
Event Type:international Conference
Event Dates:10.-12. Apr. 2013
Organizer:TU-Delft
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Aircraft System Dynamics
Deposited By: Looye, Dr. Gertjan
Deposited On:02 Sep 2013 11:59
Last Modified:15 Jul 2019 15:40

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