Feasibility study of system identification of orbit response matrices at FACET

Beam-based alignment methods, orbit feedback systems and diagnosis tools rely on good knowledge of the orbit response matrix. In this paper, different on-line system identification algorithms are used to estimate the orbit response matrix of the \emph{Facility for Advanced Accelerator Experiment Tests} (FACET) at the SLAC National Accelerator Laboratory. The performance of the different algorithms is compared via simulation studies. It is found that an identification of the full orbit response matrix with an acceptable accuracy takes several hours in a parasitic mode (during physics operation). If the identification algorithms do not have to run in a parasitic mode (large emittance increase) the full response matrix can be identified in less than an hour. The adapted algorithm formulations, the performance comparisons and the found algorithm limitations provide important information that can be applied to the system identification of other accelerators.