Deriving Discontinuous State Changes

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KSL-99-04 +  redirect page

Deriving Discontinuous State Changes +  Has identifier

Deriving Discontinuous State Changes +  Ksl tr id

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Deriving Discontinuous State Changes

Bibtype  techreport

Has publishing details  June,1999

Has title  Deriving Discontinuous State Changes

Has where published  KSL-99-04

Has year  1999

Title  Deriving Discontinuous State Changes

Year  1999

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.

Note  13th Intl. Workshop on Qualitative Reasoning, Loch Awe, Scotland, June 1999.

Author  Pieter J. Mosterman and Gautam Biswas +

Has author  Pieter J. Mosterman and Gautam Biswas +

Has identifier  Deriving Discontinuous State Changes +

Institution  Knowledge Systems, AI Laboratory +

Ksl tr id  Deriving Discontinuous State Changes +

Month  June +

Number  Deriving Discontinuous State Changes +

Process note  NO +

Categories  KSL Technical Report +, Publication +, Technical Report +

 

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