Abstract:
The ratio of the numbers of ions outside the match radius to the total ion numbers, not root-mean-square radius or others, is selected as variable to simulate the control of beam halo-chaos in high intensity accelerator. Beam halo-chaos for five different initial ion distributions is effectively controlled by a logarithm-function controller based on the variable. The control method may be operational in experiment, because it only needs to probe how many ions are outside the match radius.