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Deriving Discontinuous State Changes for Reduced Order Systems and the Effect on Compositionality

Mosterman, P.J. and Biswas, G. (1999) Deriving Discontinuous State Changes for Reduced Order Systems and the Effect on Compositionality. The 13th Intern. Workshop on Qualitative Reasoning (QR99), Scotland, June 6-9, 1999.

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Abstract

Dynamic behavior of complex physical systems is often nonlinear and includes multiple temporal scales. For efficient model analysis, singular perturbation methods can be employed to decouple and analyze the fast and slow behavior in two steps: (i) by assuming the fast behavior quickly reaches a quasi steady state, and (ii) by analyzing the slow behavior of the system. The decoupling achieved by applying the quasi steady state solution reduces the complex system of ordinary differential equations (ODEs) to simpler ODEs. This process of abstracting fast continuous behavior into algebraic constraints may cause discontinuous jumps in variable values when configuration changes occur, requiring the system variables to be reinitialized correctly. The application of traditional singular perturbation approach correspond to discontinuous changes resulting from parameter abstraction. This paper extends this notion to analysis of discontinuous changes caused by time scale abstraction. Deriving the explicit discontinuous jumps caused requires analysis of the interactions between model components, therefore, they are configuration dependent. Therefore, reduced order model components (or fragments) may not be valid in other configurations, and, therefore, may not be directly usable in a compositional modeling framework.

Item URL in elib:https://elib.dlr.de/3464/
Document Type:Conference or Workshop Item (Paper)
Additional Information: LIDO-Berichtsjahr=1999,
Title:Deriving Discontinuous State Changes for Reduced Order Systems and the Effect on Compositionality
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Mosterman, P.J.UNSPECIFIEDUNSPECIFIED
Biswas, G.Vanderbilt University, Nashville, TNUNSPECIFIED
Date:1999
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 160-168
Status:Published
Keywords:singular perturbation, qualitative reasoning, model abstractions, hybrid systems, compositional modeling, automated modeling
Event Title:The 13th Intern. Workshop on Qualitative Reasoning (QR99), Scotland, June 6-9, 1999
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L ST - Starrflüglertechnologien
DLR - Research theme (Project):UNSPECIFIED
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Institut für Robotik und Systemdynamik
Deposited By: DLR-Beauftragter, elib
Deposited On:16 Sep 2005
Last Modified:06 Jan 2010 16:26

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