Predicting Events for the Simulation of Hybrid Systems

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Predicting Events for the Simulation of Hybrid Systems
The quality of the numeric simulation of hybrid systems highly depends on the capability of the simulator to detect discrete events during continuous evolutions. Due to the interaction of discrete and continuous dynamics, failures to detect such events may have catastrophic impacts on the global simulation. Current methods employ numeric algorithms/solvers for the underlying systems of differential equations, and therefore inherently suffer from the accumulation of numeric inaccuracies. In this paper, we propose a method for simulation of hybrid systems that is based on a combination of symbolic and numeric computations, which allows one to predict discrete events without accumulating numeric inaccuracies during the continuous evolution. Our method is applicable for a wide range of hybrid systems like the subclass of linear hybrid automata.
Kerstin Bauer, Klaus Schneider
Added 26 Jan 2011
Updated 26 Jan 2011
Type Journal
Year 2010
Authors Kerstin Bauer, Klaus Schneider
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