Lens, DieterDieterLensFaulwasser, TimmTimmFaulwasserKellett, Christopher M.Christopher M.Kellett2024-03-042024-03-042015-08-28At-Automatisierungstechnik 63 (8): 621-632 (2015)https://hdl.handle.net/11420/46173Hadron synchrotrons accelerate protons and heavy ions to very high energies. The stabilization of the longitudinal beam dynamics in these particle accelerators is a demanding control problemsince typical sample times of the beam-feedback loop are on the order of several ìs to several hundred ns. This work examines if model predictive control is a suitable candidate for longitudinal beam feedback in synchrotrons. We show that, by combining an appropriate problem formulation with efficient numer-ical algorithms, the optimization problem can be solved sufficiently fast on a high-end FPGA. Realistic simulations for the synchrotron SIS18 of the GSI Helmholtz Center for Heavy-Ion Research illustrate that the proposed control scheme can lead to a significant improvement of the control performance.de2196-677X20158621632De Gruyterfield programmable gate arrayhadron synchrotronslongitudinal beam feedbackModel predictive controlComputer SciencesMathematicsEngineering and Applied OperationsJournal Article10.1515/auto-2015-0020Journal Article