Noninvasively improving the orbit-response matrix while continuously correcting the orbit

TL;DR

This paper presents a real-time algorithm that continuously updates the orbit response matrix using beam position data and small perturbations, enhancing orbit correction in accelerator systems.

Contribution

It introduces a novel method for noninvasively and continuously estimating the orbit response matrix with improved convergence speed using dither signals.

Findings

Convergence rate estimates are provided.

The method achieves high accuracy asymptotically.

Small perturbations improve estimation speed.

Abstract

Based on continuously recorded beam positions and corrector excitations from, for example, a closed-orbit feedback system we describe an algorithm that continuously updates an estimate of the orbit response matrix. The speed of convergence can be increased by adding very small perturbations, so-called dither, to the corrector excitations. Estimates for the rate of convergence and the asymptotically achievable accuracies are provided.