Deriving Discontinuous State Changes

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Citation: Pieter J. Mosterman and Gautam Biswas. (1999) Deriving Discontinuous State Changes. In KSL-99-04, June,1999.

Publication techreport ( Edit )
type Technical Report
bibtype techreport
Bibtex basics
author Pieter J. Mosterman and Gautam Biswas
title Deriving Discontinuous State Changes
number KSL-99-04
institution Knowledge Systems, AI Laboratory
year 1999
month June
Bibtex more
note 13th Intl. Workshop on Qualitative Reasoning, Loch Awe, Scotland, June 1999.
Access Paper
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.

KSL Technical Report ID: KSL-99-04
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Abstract Dynamic behavior of complex physical syste … 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. ble in a compositional modeling framework.
Author Pieter J. Mosterman and Gautam Biswas  +
Bibtype techreport  +
Has author Pieter J. Mosterman and Gautam Biswas  +
Has identifier KSL-99-04  +
Has publishing details June,1999  +
Has title Deriving Discontinuous State Changes  +
Has where published KSL-99-04  +
Has year 1999  +
Institution Knowledge Systems, AI Laboratory  +
Ksl tr id KSL-99-04  +
Month June  +
Note 13th Intl. Workshop on Qualitative Reasoning, Loch Awe, Scotland, June 1999.
Number KSL-99-04  +
Process note NO  +
Title Deriving Discontinuous State Changes  +
Year 1999  +
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