Variational multirate integration in discrete mechanics and optimal control

Systems with dynamics on different time scales have contradicting requirements on the integrator. These can be resolved with a multirate integration approach, where the system is split in parts which are integrated with different methods and time steps. This leads to computing time savings compared...

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Bibliographic Details
Main Authors: Gail, T, Ober-Blobaum, S, Leyendecker, S
Format: Conference item
Published: ECCOMAS 2017
Description
Summary:Systems with dynamics on different time scales have contradicting requirements on the integrator. These can be resolved with a multirate integration approach, where the system is split in parts which are integrated with different methods and time steps. This leads to computing time savings compared to a highly accurate simulation of the complete system. In this work, we benefit from these savings for optimal control problem simulations. Based on DMOC, which is a structure preserving simulation method for optimal control problems in mechanics, we develop an optimal control simulation method with a variational multirate integration scheme. Via an example system, we show convergence and the computing time behaviour of the multirate optimal control simulation method.