Simulated Performance of an FIR-Based Feedback System to Control the Electron Cloud Single-Bunch Transverse Instabilities in the CERN SPS

The operation at high current of high-energy proton machines like the SPS at CERN is affected by transverse single-bunch instabilities due to the Electron Cloud effect [1]. As a first step toward modeling a realistic feedback control system to stabilize the bunch dynamics, we investigate the use of a Finite Impulse Response (FIR) filter to represent the processing channel. The effect of the processing channel on the bunch dynamics is analyzed using the macro-particle simulation package Wart-Posinst. We discuss the basic features of the feedback model, report on simulation results, and present our plans for further development of the numerical model