This invention discloses a robust tracking control method for flexible attachment trajectories on small celestial bodies, belonging to the field of deep
space probe control technology. The implementation method is as follows: While retaining the flexibility characteristics, the structure of the flexible probe is simplified. A "spring-damping-
torsion spring" model of the flexible probe is established in both the flexible node reference coordinate
system and the node fixed coordinate
system, enabling it to possess both flexibility and, as far as possible, effectively estimate and control the state of its attachment process. A nominal trajectory error tracking control model is established based on the dynamic model. A
performance index function is designed to transform the flexible probe attachment trajectory tracking control problem into an optimal problem. An HJB equation is established based on the
performance index function, and the expression for the
optimal control force is calculated. Through strategy iteration, the control law and
performance index function are formed into a closed-loop equation. A single-evaluation neural network is used to approximate the
optimal control law and optimal performance
index function, achieving robust tracking of the nominal trajectory while reducing probe fuel consumption.