中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1209-1215.doi: 10.1088/1674-1056/17/4/010

• GENERAL • 上一篇    下一篇

Controlling beam halo-chaos via backstepping design

高远, 孔峰   

  1. Department of Information and Control Engineering, Guangxi University of Technology, Liuzhou 545006, China
  • 收稿日期:2007-09-20 修回日期:2007-10-22 出版日期:2008-04-20 发布日期:2008-04-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Guangxi Province, China (Grant No 0640033).

Controlling beam halo-chaos via backstepping design

Gao Yuan(高远)† and Kong Feng(孔峰)   

  1. Department of Information and Control Engineering, Guangxi University of Technology, Liuzhou 545006, China
  • Received:2007-09-20 Revised:2007-10-22 Online:2008-04-20 Published:2008-04-20
  • Supported by:
    Project supported by the Natural Science Foundation of Guangxi Province, China (Grant No 0640033).

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摘要： A backstepping control method is proposed for controlling beam halo-chaos in the periodic focusing channels (PFCs) of high-current ion accelerator. The analysis and numerical results show that the method, via adjusting an exterior magnetic field, is effective to control beam halo chaos with five types of initial distribution ion beams, all statistical quantities of the beam halo-chaos are largely reduced, and the uniformity of ion beam is improved. This control method has an important value of application, for the exterior magnetic field can be easily adjusted in the periodical magnetic focusing channels in experiment.

Abstract: A backstepping control method is proposed for controlling beam halo-chaos in the periodic focusing channels (PFCs) of high-current ion accelerator. The analysis and numerical results show that the method, via adjusting an exterior magnetic field, is effective to control beam halo chaos with five types of initial distribution ion beams, all statistical quantities of the beam halo-chaos are largely reduced, and the uniformity of ion beam is improved. This control method has an important value of application, for the exterior magnetic field can be easily adjusted in the periodical magnetic focusing channels in experiment.

Key words: high-current ion beam, beam halo-chaos, chaos control, backstepping control

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)