Fusion Advanced Studies Torus (FAST) conceptual study has been proposed as possible European ITER Satellite. This facility is aimed at exploring and preparing ITER operation scenarios as well as helping DEMO design and R&D. This paper presents the plasma position and shape control studies, focusing on the machine flexibility in terms of both operational space and physics that can be investigated. The optimization of a copper shell position inside the vacuum vessel provides a slowing down of the growth rate of the vertical instability around 13s^-1. A sensitivity analysis of each poloidal field (PF) circuit and their effects on plasma shape is carried out. A SVD based PID control scheme has been used for controlling the plasma current, shape and position.