Title
Optimal matching control of a low energy charged particle beam in particle accelerators
Abstract
Particle accelerators are devices used for research in scientific problems such as high energy and nuclear physics. In a particle accelerator, the shape of particle beam envelope is changed dynamically along the forward direction. Thus, this reference direction can be considered as an auxiliary “ time ” beam axis. In this paper, the optimal beam matching control problem for a low energy transport system in a charged particle accelerator is considered. The beam matching procedure is formulated as a finite “ time ” dynamic optimization problem, in which the Kapchinsky-Vladimirsky ( K-V ) coupled envelope equations model beam dynamics. The aim is to drive any arbitrary initial beam state to a prescribed target state, as well as to track reference trajectory as closely as possible, through the control of the lens focusing strengths in the beam matching channel. We first apply the control parameterization method to optimize lens focusing strengths, and then combine this with the time-scaling transformation technique to further optimize the drift and lens length in the beam matching channel. The exact gradients of the cost function with respect to the decision parameters are computed explicitly through the state sensitivity-based analysis method. Finally, numerical simulations are illustrated to verify the effectiveness of the proposed approach.
Year
DOI
Venue
2019
10.1109/JAS.2018.7511270
IEEE/CAA Journal of Automatica Sinica
Keywords
Field
DocType
Particle beams,Lenses,Linear particle accelerator,Focusing,Mathematical model,Laser beams,Trajectory
Computational physics,Optimal matching,Particle accelerator,Particle beam,Control theory,Charged particle beam,Lens (optics),Beam (structure),Charged particle,Linear particle accelerator,Mathematics
Journal
Volume
Issue
ISSN
6
2
2329-9266
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Zhigang Ren1213.97
Tehuan Chen2124.40
Zongze Wu36511.45