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TY - CONF AU - Drivotin, O.I. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Control Theory Model for RFQ Channel Optimization J2 - Proc. of RUPAC2018, Protvino, Russia, 01-05 October 2018 C1 - Protvino, Russia T2 - Russian Particle Accelerator Conference T3 - 26 LA - english AB - The common approach for RFQ channel design* allows to find geometric parameters of sections of the channel including cell lengths, apertures and coefficients of modulation of electrodes forming the channel. According to that approach, the phase of so called synchronous particle changes slowly. Our previous computations** indicate that quality of beam in this channel can be better, if synchronous phase changes more quickly with some oscillations. To find opportunity for improving the structure, we propose a control theory model for charged particle beam in the RFQ channel. The model includes some particle distribution with density satisfying to the Liouville equation, dynamics equations containing control functions, and a quality functional. The synchronous phase is chosen as one of the control functions. Great attention is paid to choice of the quality functional. A numerical solution of such problem can be achieved by an iterative method based on computation of the functional variations. In real problems, we can parametrize the control functions. Then functional variations can be approximated by derivatives of functional over control functions parameters. PB - JACoW Publishing CP - Geneva, Switzerland SP - 164 EP - 166 KW - controls KW - rfq KW - quadrupole KW - site KW - distributed DA - 2018/11 PY - 2018 SN - 978-3-95450-197-7 DO - 10.18429/JACoW-RUPAC2018-TUPSA10 UR - http://jacow.org/rupac2018/papers/tupsa10.pdf ER -