Analysis and Simulation of Variable Structure Systems Using Bond Graphs and Inline Integration

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Abstract

In this paper, a new methodology is being discussed that aids the numerical simulation of discontinuous systems involving switching events.

Many object-oriented models containing switches require a change in the selection of state variables as a function of the switch position. Such systems are classified as variable-structure systems. Their simulation leads to a division by zero at switching time.

Until now, such systems were usually simulated using non-ideal switches. However, this approach invariably leads to stiff models. Also, the simulation results obtained in this fashion may be too inaccurate.

This paper proposes a different approach, involving inline integration, that tackles the problem without requiring the introduction of spurious components.


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Last modified: February 20, 2007 -- © François Cellier