{"publication_status":"published","publisher":"Springer","department":[{"_id":"101"}],"publication":"Advances in Dynamics, Optimization and Computation","place":"Cham","abstract":[{"text":"Many dynamical systems possess symmetries, e.g. rotational and translational invariances of mechanical systems. These can be beneficially exploited in the design of numerical optimal control methods. We present a model predictive control scheme which is based on a library of precomputed motion primitives. The primitives are equivalence classes w.r.t. the symmetry of the optimal control problems. Trim primitives as relative equilibria w.r.t. this symmetry, play a crucial role in the algorithm. The approach is illustrated using an academic mobile robot example.","lang":"eng"}],"publication_identifier":{"issn":["2198-4182","2198-4190"],"isbn":["9783030512637","9783030512644"]},"title":"Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach","author":[{"first_name":"Kathrin","last_name":"Flaßkamp","full_name":"Flaßkamp, Kathrin"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"last_name":"Peitz","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","id":"47427","first_name":"Sebastian"}],"status":"public","citation":{"short":"K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.","apa":"Flaßkamp, K., Ober-Blöbaum, S., &#38; Peitz, S. (2020). Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, &#38; K. Padberg-Gehle (Eds.), <i>Advances in Dynamics, Optimization and Computation</i>. Cham: Springer. <a href=\"https://doi.org/10.1007/978-3-030-51264-4_9\">https://doi.org/10.1007/978-3-030-51264-4_9</a>","mla":"Flaßkamp, Kathrin, et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” <i>Advances in Dynamics, Optimization and Computation</i>, edited by Oliver Junge et al., Springer, 2020, doi:<a href=\"https://doi.org/10.1007/978-3-030-51264-4_9\">10.1007/978-3-030-51264-4_9</a>.","ama":"Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum S, Padberg-Gehle K, eds. <i>Advances in Dynamics, Optimization and Computation</i>. Cham: Springer; 2020. doi:<a href=\"https://doi.org/10.1007/978-3-030-51264-4_9\">10.1007/978-3-030-51264-4_9</a>","bibtex":"@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-51264-4_9\">10.1007/978-3-030-51264-4_9</a>}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Peitz, Sebastian}, editor={Junge, Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle, KathrinEditors}, year={2020} }","ieee":"K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach,” in <i>Advances in Dynamics, Optimization and Computation</i>, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020.","chicago":"Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In <i>Advances in Dynamics, Optimization and Computation</i>, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-030-51264-4_9\">https://doi.org/10.1007/978-3-030-51264-4_9</a>."},"doi":"10.1007/978-3-030-51264-4_9","editor":[{"first_name":"Oliver","last_name":"Junge","full_name":"Junge, Oliver"},{"first_name":"Oliver","last_name":"Schütze","full_name":"Schütze, Oliver"},{"first_name":"Gary","last_name":"Froyland","full_name":"Froyland, Gary"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"first_name":"Kathrin","full_name":"Padberg-Gehle, Kathrin","last_name":"Padberg-Gehle"}],"date_created":"2020-07-27T09:50:19Z","language":[{"iso":"eng"}],"_id":"17411","user_id":"47427","type":"book_chapter","year":"2020","date_updated":"2022-01-06T06:53:11Z"}