Subject of the halo-chaos control in beam transport networks (channels) has
become a key concerned issue for many important applications of high-current
proton beam since 1990'. In this paper, the magnetic field adaptive control
based on the neural network with time-delayed feedback is proposed for
suppressing beam halo-chaos in the beam transport network with periodic
focusing channels. The envelope radius of high-current proton beam is
controlled to reach the matched beam radius by suitably selecting the
control structure and parameter of the neural network, adjusting the
delayed-time and control coefficient of the neural network.