The matching problem for a low energy transport system in a charged particle accelerator is approached using the extremum seeking feedback method for non-model-based adaptive control. The beam dynamics, used only for simulation purposes, is modeled using the KV (Kapchinsky-Vladimirsky) envelope equations. Extremum seeking is employed for the lens adaptive tuning in both the matching and periodic channels. Numerical simulations illustrate the effectiveness of this approach.
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