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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| Format: | Conference item |
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ECCOMAS
2017
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| _version_ | 1797062782044078080 |
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| author | Gail, T Ober-Blobaum, S Leyendecker, S |
| author_facet | Gail, T Ober-Blobaum, S Leyendecker, S |
| author_sort | Gail, T |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:50:29Z |
| format | Conference item |
| id | oxford-uuid:3764a76e-6280-4523-9079-95b1b04bc7b2 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:50:29Z |
| publishDate | 2017 |
| publisher | ECCOMAS |
| record_format | dspace |
| spelling | oxford-uuid:3764a76e-6280-4523-9079-95b1b04bc7b22022-03-26T13:43:50ZVariational multirate integration in discrete mechanics and optimal controlConference itemhttp://purl.org/coar/resource_type/c_5794uuid:3764a76e-6280-4523-9079-95b1b04bc7b2Symplectic Elements at OxfordECCOMAS2017Gail, TOber-Blobaum, SLeyendecker, SSystems 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. |
| spellingShingle | Gail, T Ober-Blobaum, S Leyendecker, S Variational multirate integration in discrete mechanics and optimal control |
| title | Variational multirate integration in discrete mechanics and optimal control |
| title_full | Variational multirate integration in discrete mechanics and optimal control |
| title_fullStr | Variational multirate integration in discrete mechanics and optimal control |
| title_full_unstemmed | Variational multirate integration in discrete mechanics and optimal control |
| title_short | Variational multirate integration in discrete mechanics and optimal control |
| title_sort | variational multirate integration in discrete mechanics and optimal control |
| work_keys_str_mv | AT gailt variationalmultirateintegrationindiscretemechanicsandoptimalcontrol AT oberblobaums variationalmultirateintegrationindiscretemechanicsandoptimalcontrol AT leyendeckers variationalmultirateintegrationindiscretemechanicsandoptimalcontrol |