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Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems

Mosterman, P. J. and Biswas, G. (2000) Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems. In: Lecture Notes in Computer Science, 1790. Springer Verlag, Berlin. ISBN 3-540-67259-1.

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Abstract

In many cases, complex system behaviors are naturally modeled as nonlinear differential equations. However, these equations are often hard to analyze because of ``stiffness'' in their numerical behavior and the difficulty in generating and interpreting higher order phenomena. Engineers often reduce model complexity by transforming the nonlinear systems to piecewise linear models about operating points. Each operating point corresponds to a mode of operation, and a discrete event switching structure is added to implement the mode transitions during behavior generation. This paper presents a methodology for systematically deriving mixed continuous and discrete, i.e., hybrid models from a nonlinear ODE system model. A complete switching specification and state vector update function is derived by combining piecewise linearization with singular perturbation approaches and transient analysis. The model derivation procedure is then cast into the phase space transition ontology that we developed in earlier work. This provides a systematic mechanism for characterizing discrete transition models that result from model simplification techniques. Overall, this is a first step towards automated model reduction and simplification of complex high order nonlinear systems.

Document Type:Contribution to a Collection
Additional Information:LIDO-Berichtsjahr=2000,
Title:Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems
Authors:
AuthorsInstitution or Email of Authors
Mosterman, P. J.DRL Institut für Robotik und Mechatronik
Biswas, G.Vanderbilt University, Nashville
Date:2000
Refereed publication:Yes
Volume:1790
Editors:
EditorsEmail
Lynch, N.UNSPECIFIED
Krogh, B.H.UNSPECIFIED
Publisher:Springer Verlag, Berlin
Series Name:Lecture Notes in Computer Science
ISBN:3-540-67259-1
Status:Published
Keywords:model reduction, hybrid sytems, picewise linearization, physical system modeling
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:16 Sep 2005
Last Modified:12 Dec 2013 20:01

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