Abstract
A digital control system for the superconducting cavities for a linear accelerator is presented. The low level radio frequency system for the FLASH project in DESY is introduced. A field programmable gate array-based controller managed by MATLAB was developed to investigate the novel firmware implementation. An algebraic complex domain model is proposed for the system analysis. The calibration procedure of a signal path is considered for multi-channel control. For a given model structure, the input–output relation of the real plant with unknown parameters is applied. The over-determined matrix equation is created covering a long enough measurement range with the solution according to the least squares method. A base function approximation by a cubic B-spline set is applied to estimate the time-varying cavity detuning during the pulse. Control tables, feed-forward and set point, are determined for the required cavity performance, according to the recognized process. The feedback loop is tuned by fitting complex gain of the corrector unit according to the determined gain table. An adaptive control algorithm is applied for feed-forward and feedback modes. Experimental results including field measurement are presented for a cavity representative operation.
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