束晕-混沌的非线性反馈离散控制

Suppression of beam halochaos using nonlinearfeedback discrete control method

基于非线性控制方法,提出了一种特殊的非线性反馈函数,即小波反馈函数,用于离散控制强流质子束的束晕 混沌。控制后质子束的束晕强度因子很快趋于零,束均方根半径、束横向平均发射度等都减至控制前的三分之一稍多,证明该控制方法切实有效,在工业上具有实用价值。

Based on nonlinear feedback control method, waveletbased feedback controller as a especial nonlinear feedback function is designed for controlling beam halochaos in highcurrent accelerators of driven clean nuclear power system. In this article, PIC simulations show that suppression of beam halochaos are realized effectively after discrete control of waveletbased feedback is applied to five kinds of the initial proton beam distributions, respectively. The beam halo strength factor is quickly reduced to zero, and other statistical physical quantities of beam halochaos are more than doubly reduced. These performed PIC simulation results demonstrate that the developed methods are very effective for control of beam halochaos. Potential application of the beam halochaos control methods is discussed finally.