Exploiting the information provided by the number of ions in some fixed regions outside the matched radius boundary, the simulation of controlling the beam halo-chaos of a high intensity ion beam has been studied by applying the logarithm-function controller. Control results show that the halo-chaos and its regeneration can be eliminated effectively for five different initial distributions, respectively. The controlling method is easy to realize in experiment because it only needs to probe the control information in small and fixed regions.