Design And Verification of Controllers for Coupled Bunch Instabilities Using Optimal Control Theory And Numerical Simulation: Predictions for PEP II

Conference · Wed Aug 31 04:00:00 EDT 2011 · Conf.Proc.C970512:2362,1997

OSTI ID:1023799

Hindi, Haitham; Prabhakar, Shyam; Fox, John D; Linscott, Ivan; Teytelman, Dmitri

We present a technique for the design and verification of efficient bunch-by-bunch controllers for damping longitudinal multibunch instabilities. The controllers attempt to optimize the use of available feedback amplifier power - one of the most expensive components of a feedback system - and define the limits of the closed loop system performance. Our design technique alternates between analytic computation of single bunch optimal controllers and verification on a multibunch numerical simulator. The simulator uses PEP-II parameters and identifies unstable coupled bunch modes, their growth rates and their damping rates with feedback. The results from the simulator are shown to be in reasonable agreement with analytical calculations based on the single bunch model. The technique is then used to evaluate the performance of a variety of controllers proposed for PEP-II.

• Research Organization: SLAC National Accelerator Laboratory (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1023799
• Report Number(s): SLAC-REPRINT-2011-031
• Conference Information: Journal Name: Conf.Proc.C970512:2362,1997
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
AMPLIFIERS
Accelerators
ACCPHY
BEAM BUNCHING
DAMPING
DESIGN
FEEDBACK
INSTABILITY
INSTABILITY GROWTH RATES
MEETINGS
OPTIMAL CONTROL
PEP STORAGE RINGS
PERFORMANCE
SIMULATION
SIMULATORS
VERIFICATION