Projectile conical motion causes significant control disturbances in the guidance system. In order to compensate for this error,a new conical error compensation algorithm has been analyzed to improve the accuracy and real-time performance of the bullet attitude control system in a high-dynamic motion environment. Combining the quaternion four-level Runge-Kutta method and the triad equivalent rotation vector method,an improved triad quaternion attitude algorithm based on modified Ro-driguez parameters for angle increment output is utilized. Derive the corresponding differential equation expressions to establish the mathematical model for solving the attitude using the improved triad quaternion algorithm. Simulation results demonstrate that compared to traditional conical error compensation algorithms,improved algorithms can more effectively compensate for conical errors,with an average accuracy improvement of approximately 17. 32%,reduce computational load in high-dynamic environment and improve real-time performance by approximately 22. 54%.