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Implicit Modeling and Simulation of Discontinuities in Physical System Models

Mosterman, P. J. (2000) Implicit Modeling and Simulation of Discontinuities in Physical System Models. In: ADPM2000, pp. 35-40. The 4th International Conference on Automation of Mixed Processes: Hybrid Dynamic Systems, 2000-09-18 - 2000-09-19, Dortmund.

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Abstract

The design of continuous models of physical systems is often most convenient, less error prone, and intuitive with declarative noncausal constraints that allow an implicit formulation. Discontinuous changes in continuous variables, however, are in general still modeled by explicit reinitialization constructs. This paper shows that it is beneficial to model discontinuous changes implicitly as well by changing sets of algebraic constraints. It also shows that the computation of explicit changes can be automated based on deriving the Kronecker canonical form. An approach that is numerically more stable is presented for index 1 systems based on deriving a pseudo Kronecker canonical form.

Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2000,
Title:Implicit Modeling and Simulation of Discontinuities in Physical System Models
Authors:
AuthorsInstitution or Email of Authors
Mosterman, P. J.UNSPECIFIED
Date:2000
Journal or Publication Title:ADPM2000
Page Range:pp. 35-40
Editors:
EditorsEmail
Engell, S.UNSPECIFIED
Kowalewski, S.UNSPECIFIED
Zaytoon, J.UNSPECIFIED
Status:Published
Keywords:DAE initialization, DAE modeling, simulation, variable structure systems, hybrid systems
Event Title:The 4th International Conference on Automation of Mixed Processes: Hybrid Dynamic Systems
Event Location:Dortmund
Event Type:international Conference
Event Dates:2000-09-18 - 2000-09-19
Organizer:Universität Dortmund
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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