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Generation of Optimal Linear Parametric Models for LFT-based Robust Stability Analysis and Control Design

Pfifer, Harald and Hecker, Simon (2008) Generation of Optimal Linear Parametric Models for LFT-based Robust Stability Analysis and Control Design. In: Proceedings. IEEE Conference on Decision and Control, 2008-12, Cancun, Mexico. (Submitted)

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Abstract

We present a general approach to generate a linear parametric state-space model, which approximates a nonlinear system with high accuracy. It is optimally suited for LFT-based robust stability analysis and control design. At the beginning a Jacobian-based linearization is applied to gernerate a set of linearized state-space systems describing the local behavior of the nonlinear plant about the corresponding equilibrium points. These models are then approximated using multivariable polynominal fitting techniques in combination with global optimization. Tthe objective is to find a linear parametric model, which allows the transformation into a Linear Fractional Representation (LFR) of least possible order. A gab metric constraint is included during the optimization in order to guarantee a specified accuracy of the tarnsfer function of the linear parametric model. The effectiveness of the proposed method is demonstrated by a robust stability analysis for a nonlinear generic missile model.

Item URL in elib:https://elib.dlr.de/55580/
Document Type:Conference or Workshop Item (Speech, Paper)
Title:Generation of Optimal Linear Parametric Models for LFT-based Robust Stability Analysis and Control Design
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Pfifer, HaraldUNSPECIFIEDUNSPECIFIED
Hecker, SimonUNSPECIFIEDUNSPECIFIED
Date:2008
Journal or Publication Title:Proceedings
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Submitted
Keywords:LFT, LFR, optimisation
Event Title:IEEE Conference on Decision and Control
Event Location:Cancun, Mexico
Event Type:international Conference
Event Dates:2008-12
Organizer:IEEE
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 Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering)
Deposited By: Klauer, Monika
Deposited On:30 Oct 2008
Last Modified:12 Dec 2013 20:33

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