Oehlschägel, Thimo and Heise , Christian and Theil, Stephan and Steffen, Thomas (2012) Stability Analysis of Closed Loops of non-linear Systems and PV Controllers designed using approximated Quasi-LPV Systems. In: 7th IFAC Symposium on Robust Control Design 2012, pp. 349-354. 7th IFAC Symposium on Robust Control Design 2012, 20-22 June 2012, Aalborg, Denmark. ISBN 9781622762262.
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Abstract
This paper proposes an approach for the stability analysis of feedback congurations consisting of a non-linear system and a linear parameter-varying (LPV) controller. The LPV controller synthesis for non-linear systems is commonly based on a Quasi-LPV representation of a non-linear system. With regard to performance oriented controller design, the approach proposed in this contribution considers the case where the controller is designed using an approximation of a Quasi-LPV representation of the non-linear system. As a consequence, the resulting controller does not necessarily stabilize the non-linear system. Therefore a method to prove the stability of the aforementioned closed loop is introduced. Since the proposed method is based on a Quasi-LPV representation of the closed loop, it results in a feasibility problem for a Quasi-LPV system globally representing the closed loop or otherwise in a simple convex optimization problem. In the latter case, the solution of the convex optimization problem denes an estimate of the Region of Attraction (ROA) of the non-linear closed loop. In both cases the resulting program can be solved using standard tools. Finally the application to a landing vehicle controlled using a 2-DOF LPV-H1 controller shows the benets of the proposed method.
Item URL in elib: | https://elib.dlr.de/81184/ | |||||||||||||||
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Document Type: | Conference or Workshop Item (Speech, Paper) | |||||||||||||||
Title: | Stability Analysis of Closed Loops of non-linear Systems and PV Controllers designed using approximated Quasi-LPV Systems | |||||||||||||||
Authors: |
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Date: | June 2012 | |||||||||||||||
Journal or Publication Title: | 7th IFAC Symposium on Robust Control Design 2012 | |||||||||||||||
Refereed publication: | Yes | |||||||||||||||
Open Access: | No | |||||||||||||||
Gold Open Access: | No | |||||||||||||||
In SCOPUS: | No | |||||||||||||||
In ISI Web of Science: | No | |||||||||||||||
Page Range: | pp. 349-354 | |||||||||||||||
ISBN: | 9781622762262 | |||||||||||||||
Status: | Published | |||||||||||||||
Keywords: | LPV, Robust Control, Non-Linear System | |||||||||||||||
Event Title: | 7th IFAC Symposium on Robust Control Design 2012 | |||||||||||||||
Event Location: | Aalborg, Denmark | |||||||||||||||
Event Type: | international Conference | |||||||||||||||
Event Dates: | 20-22 June 2012 | |||||||||||||||
Organizer: | IFAC | |||||||||||||||
HGF - Research field: | other | |||||||||||||||
HGF - Program: | other | |||||||||||||||
HGF - Program Themes: | other | |||||||||||||||
DLR - Research area: | no assignment | |||||||||||||||
DLR - Program: | no assignment | |||||||||||||||
DLR - Research theme (Project): | no assignment | |||||||||||||||
Location: | Bremen | |||||||||||||||
Institutes and Institutions: | Institute of Space Systems > Navigation and Control Systems | |||||||||||||||
Deposited By: | Oehlschlägel, Thimo | |||||||||||||||
Deposited On: | 14 Feb 2013 11:52 | |||||||||||||||
Last Modified: | 14 Feb 2013 11:52 |
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