束晕-混沌控制中的粒子跟踪模拟研究

运用PIC程序研究了强流离子束中粒子的横向运动，发现了不加控制时束晕粒子并非一直处于晕区和施加非线性控制后粒子的横向运动被限制在一定的范围内形成环状，以及均方根半径的变化近似成为周期运动等性质.根据观察到的均方根半径及其变化率的规律性，提出了一种新的自适应控制器.用该控制器不仅能在很短的时间内完全控制住束晕，而且不需要对增益因子进行精确计算，也能在系统参数改变的情况下取得较好的控制效果. 关键词： 束晕_混沌 粒子跟踪 数值模拟 自适应控制

Simulation study on single particle in controlling halo-chaos

In this paper, we adopt the Particle_in_Cell(PIC) program to study the transverse movement of particles in high_intensity beam. It is found that the transverse movement of halo particles in not always in halo region. The movement is restricted in a narrow region after the beam is controlled. Changes of root_mean_squared radius are nearly periodic. According to the regulation and variation of root_mean_squared radius, a new self_adaptive controller method is put forward. This research demonstrates that the halo can be completely controlled by the controller quickly. There is no need to precisely calculate the coefficient of controller, and the controller can work well even if the system parameters are changed.