Trajectory Tracking Method Based on Feedback Control in the Virtual Domain

A trajectory tracking method based on feedback control in the virtual domain is proposed for the algorithm of online real-time trajectory planning. The method using the way that polynomials approximate states and differential equations convert into algebraic equations. Time domain is converted into virtual domain by introducing the virtual path. Moreover, using the feedback correction tracks fixed trajectory exactly by real-time information. In the background of intercepting of ballistic missiles, simulation verification is carried out on the condition of initial minor disturbances. The simulation results demonstrate that the miss distance, pitch angle error and yaw angle error can meet the requirements.