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

We simulate a recursive least-squares estimator to determine the bandwidth ${\omega }_{12}$ and the detuning $\mathrm{\Delta }\omega$ 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.