A Study of Transitions in Dynamic Behavior of Physical Systems
Pieter J. Mosterman
Institute for Robotics and System Dynamics
DLR Oberpfaffenhofen
Feng Zhao
Department of Computer and Information Science
The Ohio State University
Gautam Biswas
Department of Computer Science
Vanderbilt University
Abstract
This paper develops a classification of transition behaviors for
hybrid dynamic systems. Physical system behaviors often comprise of
multiple temporal and spatial scales. A hybrid system model abstracts
the operational domain of a continuous system into patches of similar
behaviors. Behaviors in each patch are described by
simpler models. When state variables cross threshold values,
the system makes discrete transitions from one patch to another. We
assign physical semantics to the transition behaviors in order to develop
a compositional modeling framework and self-consistent simulators for
hybrid systems.