Implicit Modeling and Simulation of Discontinuities in Physical System Models
Mosterman, P. J.
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.
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)|
|Title:||Implicit Modeling and Simulation of Discontinuities in Physical System Models|
|Authors||Institution or Email of Authors|
|Mosterman, P. J.||UNSPECIFIED|
|Journal or Publication Title:||ADPM2000|
|Page Range:||pp. 35-40|
|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 Type:||international Conference|
|Event Dates:||2000-09-18 - 2000-09-19|
|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)|
|Institutes and Institutions:||Institute of Robotics and Mechatronics|
|Deposited On:||16 Sep 2005|
|Last Modified:||12 Dec 2013 20:01|
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