Title :
A periodically-switched ODE model for N-bunch beamloading in a storage ring
Author :
Schwartz, C. ; Nassiri, A.
Author_Institution :
Argonne Nat. Lab., IL, USA
Abstract :
A new baseband formulation of the coupled cavity/longitudinal-bunch ODEs is derived. Assuming linearity, a model of the form x˙(t)=A(t)x(t)+B(t)u(t) arises, where A(t) and B(t) are piecewise constant, and periodic with the revolution period T0. Such models, known in the control community as (periodic) switched systems, have known (in)stability criteria and control theoretic properties, which can be useful in the analysis and control of multiple bunch beamloading
Keywords :
particle beam bunching; particle beam stability; storage rings; N-bunch beamloading; baseband formulation; control theoretic properties; coupled cavity/longitudinal-bunch ODEs; multiple bunch beamloading; periodically-switched ODE model; revolution period; stability criteria; storage ring; Baseband; Control system analysis; Fourier transforms; Interpolation; Kernel; Laboratories; Linearity; Resonance; Storage rings; Switched systems;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.795452
