Real-time system identification of superconducting cavities with a recursive least-squares algorithm: closed-loop operation

Abstract

We simulate a recursive least-squares estimator to determine the bandwidth ${\omega }_{12}$ and the detuning $\Delta \omega$ of a cavity that is controlled with a low-level RF system and we present a comprehensive analysis of the convergence and asymptotic behavior of the algorithm for static and time-varying systems.

30 pages, 10 figures, include "closed-loop operation" in the title