In this study, an open-ring controllable Bessel vortex beam is theoretically and experimentally constructed with a power-exponent-phase vortex. Its distribution in the far field after being blocked with obstacles is subsequently investigated. In the far field, the beam exhibits different degrees of the open-loop effect following adjustments in the phase term of the power exponent. For an obstructed beam, the direction of the open loop is offset by a certain value, and different open-loop angles can be achieved for different blocking angles. The developed beam can be used to guide particles and avoid obstacles.