强流束晕-混沌的外部磁场开关控制

研究了强流离子束在周期聚焦磁场通道中束晕-混沌的外部磁场开关参数控制方法. 将该方法应用在多粒子模型中，实现了对5种不同初始分布质子束的束晕-混沌的有效控制，得到了消除束晕及其再生现象的理想结果.在强流加速器系统中，由于外部磁场是可测和可调 的物理量，因此该控制方法有利于实验研究，可为强流质子加速器中周期聚焦磁场的设计和实验提供参考. 关键词： 强流离子束 周期聚焦磁场通道 束晕_混沌 混沌控制 开 关控制     

强流束晕-混沌的外部磁场滑模变结构控制

 研究了周期性聚焦磁场通道中,束晕-混沌的外部磁场滑模变结构控制方法。通过选择适当的滑模函数,根据李雅普洛夫稳定性条件,推导出外部磁场的滑模变结构控制器。模拟结果表明,在控制条件下,混沌变化的束包络半径能被控制到匹配半径。将该方法应用在多粒子模型中,实施每隔一个磁场周期就调节一次磁场幅度的控制策略,可实现对初始分布为K-V分布离子束的束晕-混沌的有效控制,束平均发射度降低了80%左右,束晕强度因子变为0,束流质量得到了很好的改善,消除了束晕及其再生现象。由于外部磁场是可测和可调的物理量,控制器简单且利于实现,研究结果可为强流离子加速器中周期性聚焦磁场的设计与试验提供参考。     

周期聚焦磁场中束晕-混沌的简单函数控制

本文采用粒子-束核模型,基于束晕-混沌的非线性控制策略,对周期性聚焦磁场中满足K—V分布的离子束进行模拟研究,提出了控制其束晕-混沌的简单函数控制器,并给出具体的实施方案．数值模拟研究表明,运用这种方法可以消除束晕及其再生现象,达到对束晕-混沌的有效控制．     

均匀聚焦磁场中束晕-混沌的孤子控制

采用粒子.束核模型,对均匀聚焦磁场中满足K-V分布的离子束进行模拟研究.观察到束晕.混沌现象,基于束晕.混沌的非线性控制策略,提出控制束晕.混沌的孤子函数控制器,并给出具体的实施方案.模拟研究表明,运用这种方法可以消除束晕及其再生现象,达到对束晕.混沌的有效控制.     

小波函数反馈法实现对强流束晕混沌的有效控制

提出小波函数反馈控制法,分别实现了在四种不同的初始质子分布情形下对强流质子束的束晕混沌的有效控制.控制后束晕强度因子变为零,束均方根半径、束横向动量平方和的平均值和相对平均发射度比控制前都减少至1/2—1/3.结果表明该方法十分有效,具有应用前景 关键词： 小波函数反馈法 束晕混沌 强流质子束     

周期聚焦磁场中束晕-混沌的实Morlet小波函数控制

 基于束晕-混沌的非线性控制策略,对周期性聚焦磁场中初始分布满足K-V分布的粒子束进行模拟研究,提出了控制其束晕-混沌的实Morlet小波函数控制器,并给出具体的实施方案。数值模拟研究表明,在适当的参数条件下,运用这种方法不仅可以消除束晕及其再生现象,达到对束晕-混沌的有效控制,而且可以控制束流到均匀分布。     

束晕-混沌的神经网络自适应控制

 理论分析了强流离子束在周期磁场聚焦通道中传输时产生的束晕 混沌动力学行为,给出了近似反映实际聚焦磁场的余弦函数形式。然后利用神经网络方法对非线性复杂系统控制的优越性,提出前馈反传神经网络方法对强流离子束中束晕 混沌进行自适应控制。通过适当选择的神经网络控制结构和线性反馈系数以及自适应调整神经网络的权系数,可将强流离子束的包络半径达到束匹配半径的控制目标,且束包络的抖动大小明显减少,束晕 混沌现象得到了明显的抑制。     

以小区域内的离子数为控制信息实现束晕的有效控制

利用匹配半径外的某些固定区域内的离子数目提供控制信息,采用对数函数控制器对强流离子束进行束晕－混沌控制的数值模拟研究. 结果显示,该方法能够有效地抑制五种不同初始分布的离子束的束晕再生现象. 该方法由于控制信息的探测区域小且能固定,在实验上便于实施. 关键词： 束晕 控制 局部区域 信息     

强流加速器中束晕-混沌的延迟反馈控制

简要分析了延迟反馈法运用于束晕混沌控制的理论可行性并实现了5种不同的初始质子分布情形下强流加速器中束晕混沌的有效控制.控制律为线性,反馈量小,有利于技术实现和降低控制代价,可为强流加速器的工程实现提供参考. 关键词： 束晕-混沌 强流加速器 延迟反馈     

强流束晕-混沌的外部磁场自适应控制

 研究了强流质子束在周期聚焦磁场通道中束晕 混沌的外部磁场自适应控制方法,给出了磁场控制方程。将该方法应用在多粒子模型中,实现了对4种不同初始分布质子束的束晕 混沌的有效控制,得到了消除束晕及其再生现象的理想结果。在强流加速器系统中,由于外部磁场是可测和可调的物理量,因此该控制方法有利于实验研究,可为强流质子加速器中周期聚焦磁场的设计和实验提供参考。     

Nonlinear Control of Beam Halo-Chaos in Accelerator-Driven Clean Nuclear Power System

Beam halo-chaos in high-current accelerators has become a key concerned issue because it can cause excessive radioactivity from the accelerators therefore significantly limits their applications in industry, medicine, and national defense. Some general engineering methods for chaos control have been developed in recent years, but they generally are unsuccessful for beam halo-chaos suppression due to many technical constraints. Beam halo-chaos is essentially a spatiotemporal chaotic motion within a high power proton accelerator. In this paper, some efficient nonlinear control methods, including wavelet function feedback control as a special nonlinear control method, are proposed for controlling beam halo-chaos under five kinds of the initial proton beam distributions (i.e., Kapchinsky-Vladimirsky, full Gauss,3-sigma Gauss, water-bag, and parabola distributions) respectively. Particles-in-cell simulations show that after control of beam halo-chaos, the beam halo strength factor is reduced to zero, and other statistical physical quantities of beam halo-chaos are doubly reduced. The methods we developed is very effective for suppression of proton beam halo-chaos in a periodic focusing channel of accelerator. Some potential application of the beam halo-chaos control in experiments is finally pointed out.     

Control of beam halo-chaos by Gauss function in the triangle periodic-focusing channel

This paper studies the Kapchinsky-Vladimirsky （K-V） beam through a triangle periodic-focusing magnetic field by using the particle-core model. The beam halo-chaos is found, and an idea of Gauss function controller is proposed based on the strategy of controlling the halo-chaos. It performs multiparticle simulation to control the halo by using the Gauss function control method. The numerical results show that the halo-chaos and its regeneration can be eliminated effectively, and that the radial particle density is uniform at the centre of the beam as long as the control method and appropriate parameter are chosen.     

Control of beam halo-chaos by sample function

The K-V beam through an axisymmetric uniform-focusing channel is studied using the particle--core model. The beam halo-chaos is found, and a sample function controller is proposed based on mechanism of halo formation and strategy of controlling halo-chaos. We perform multiparticle simulation to control the halo by using the sample function controller. The numerical results show that our control method is effective. We also find that the radial ion density changes when the ion beam is in the channel: not only can the halo-chaos and its regeneration be eliminated by using the sample function control method, but also the density uniformity can be found at the beam's centre as long as an appropriate control method is chosen.     

Control of Beam Halo-Chaos Based on Self-Field-Intensity of Particle Beam

The KV beam through an axisymmetric periodic-focusing magnetic field is studied using the particle-core model. A new variable of the self-field-intensity of particle beam is selected, and an idea of self-field feedback controller is proposed based on the variable for controlling the halo-chaos. We perform multiparticle simulation to control the halo by using the self-field feedback controller. The numerical results show that the halo-chaos and its regeneration can be eliminated effectively, and that the density uniformity can be found at the centre of beam as long as an appropriate control method is chosen. The control method may be operated in the experiment, because field intensity measurement is easy.