To achieve high-performance control of the precise linear permanent-magnet synchronous motor (LPMSM) control system, a composite robust current regulation method with good dynamic response and disturbance rejection performance is proposed. First, a continuous time model predictive current control is utilized to obtain superior current response. Since the predictive current control has a strong dependence on the precise mathematical model of the controlled plant, there will be static current error and even system instability when model mismatch and parameter variation. Then, aiming at this problem, the adaptive disturbance observer is applied to compensate the lumped disturbance. However, the adaptive disturbance observer designed based on the single model adaptive law has some disadvantages, such as low precision, long regulation time, poor transient response, and so on. Consequently, a multiple-models adaptive disturbance observer is proposed, which improves the convergence speed of disturbance estimation and system's robustness against parameter perturbation and model mismatch. Finally, a 0.9-kW LPMSM is used as a case study, and the experimental results show the effectiveness of the proposed solution, both during the transient and steady-state operating conditions.