强流束包络混沌现象的反演设计反馈控制  

Feedback Control for Chaotic Envelope of High-current Beam Via Back-stepping Design

作　　者：高远[1] 周新红[2] 

机构地区：[1]广西工学院电子信息与控制工程系,广西柳州545006 [2]柳州师范高等专科学校物理与信息科学系,广西柳州545004

出　　处：《广西工学院学报》2009年第2期15-18,共4页Journal of Guangxi University of Technology

基　　金：广西教育厅科研项目(200808LX322)资助

摘　　要：从K-V(Kapchinsdkij-Vladimiskij)分布束的束包络方程出发,利用李亚普洛夫函数理论,反演设计非线性反馈控制强流束包络的混沌现象.模拟结果表明,该控制方法能有效地控制束包络的混沌演化,且混沌变化的束包络半径能被控制到束包络匹配半径(控制目标).该方法为进一步在多粒子模型中研究强流离子束束晕-混沌现象的控制问题提供了方法借鉴.Using the Lyapunov theory, a nonlinear feedback control method via back-stepping design for controlling the chaotic envelope of periodical focusing high-current ion beams with K-V distribution is studied. The nonlinear feedback controller is presented. The simulation results demonstrated that the chaotic envelope could be well controlled by this method, and the radius of envelope converged to the matched radius. This method offers a reference for controlling the beam halo-chaos for high intensity ion beam in period-focusing channel with multi-particle model.

关 键 词：强流离子束 混沌控制 反演设计 

分 类 号：O415[理学—理论物理] TP13[理学—物理]