Paper | Title | Page |
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TUPAC25 | Identification of Intra-Bunch Dynamics Using CERN SPS Machine Measurements | 502 |
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Funding: U.S. Department of Energy under contract DE-AC02-76SF00515 and the US LHC Accelerator Research program (LARP) Modern control techniques can be used to design feedback systems for stabilizing the intra-bunch dynamics in the presence of electron cloud (ECI) and transverse mode coupling (TMCI) instabilities. These techniques require reduced models of the bunch dynamics. We present a methodology to identify reduced order linear models representing single bunch dynamics using CERN SPS machine measurements. Vertical motion, in response to a wideband excitation signal, is sampled multiple times across the 5 ns bunch. The data and an observable canonical structure are used to identify the dynamics, which is represented as discrete time multi-input multi-output (MIMO) system. We focused on mode 0 (barycentric) and mode 1 (head-tail) data to identify a reduced order model. Results show that models clearly capture dominant dynamics and replicate machine measurements with corresponding central tune, damping values for each mode and correct separation between modes. |
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