This thesis is based on the principle of robust backstepping control to develop a position-servo control system for permanent magnet drive system linear synchronous motor (PMLSM). The development of motor servo is carried out via systematic analysis and simulation to establish complete control theory. In the designing procedure, the dynamic model is first constructed by using the concept of field-oriented control, where the coordinate transformation is performed to obtain a compact expression of PMLSM and to facilitate the designing work. Then, the effects of load disturbance and modeling error are considered. The proposed approach combines the characteristic of fuzzy neural network and the concept of adaptive tuning technique to construct the real-time compensation for the lumped uncertainties. To realize the developed control scheme, a digital signal processor (TMS320F28335) is used as the core of control system. Furthermore, various motion trajectories are utilized to examine the performance of the proposed control system. The correctness, validity, and control bustness of the proposed approach are verified via the computer simulation and practical experiment.