Aiming at the problem of performance degradation of flue gas acid-making control system caused by system uncertainty and external interference, this paper presents a model predictive control scheme based on an equivalent input disturbance (MPC-EID) for the temperature tracking control of flue gas acid production systems. First, a nonlinear Wiener model is established for the process, which can well character the nonlinear change of process temperature.Second, design the overall control strategy and complete the design of MPC and EID, the observer estimates the equivalent input disturbance, and compensates the estimated value in a feed-forward manner to obtain the final composite control rate to achieve the rapidity, accuracy and robustness to the disturbance of the reference temperature tracking. Third, a rigorous stability analysis shows that the closed-loop system is stable. Finally, simulation and experimental results demonstrate that the MPC combined with EID method is more efficient compared with MPC and MPC-PID approaches.