Hybrid System Modelling and Simulation with Dirac Deltas
Cláudio Ângelo Gonçalves Gomes, Yentl Van Tendeloo, Joachim Denil, Paul De Meulenaere, Hans Vangheluwe · 2017
For a wide variety of problems, creating detailed continuous models of physical systems is impractical. Hybrid models can abstract away short transient behaviour in order to simplify the study of such systems. For example, when modelling a bouncing ball, the bounce can be abstracted as a discontinuous change of the velocity. Impulsive differential equations can be used to model and simulate hybrid systems such as the bouncing ball. In this approach, the force acted on the ball by the floor is abstracted as an impulse. Current simulators cannot handle such approximations well due to the limitations of machine precision.