In this paper, an integrated hardware and software design method is developed to implement an MPC algorithm on an FPGA chip. This makes it possible to achieve the long-desired goal of extending MPC algorithms to field control so as to deal with constraints effectively. To expedite the numerical procedure of solving quadratic programming (QP) in the MPC algorithm, a QP solver based on embedded chips is designed to exploit the flexibility and efficiency of FPGA chips. With a carefully devised software architecture, a universal platform is proposed to be facilely deployed to field control applications. To demonstrate the efficacy, a prototype system is built based on a Xilinx FPGA chip. It is then applied to a motor servo tracking control system and achieves satisfactory control performance.