Beam matching adaptive control via extremum seeking

The matching problem for a low energy transport system in a charged particle accelerator is approached using the extremum seeking method for non-model based optimization and adaptive control. The beam dynamics used for numerical simulations are given by the KV (Kapchinsky–Vladimirsky) envelope equations. Extremum seeking is employed for the lens tuning in both a matching and a periodic channel. Numerical simulations illustrate the effectiveness of this approach.