High-Speed Reentry Vehicle Trajectory Optimization and Guidance with Lateral Maneuver

Abstract

Aiming at the trajectory design and tracking problems of high-speed reentry vehicles with lateral maneuvers, this paper proposes a sinusoidal lateral penetration strategy, establishes the relationship of latitude and longitude of the vehicle, and adds it as a path constraint on the trajectory optimization model. Based on the pseudo-spectral method, the continuous infinite-dimensional optimal control problem is transformed into a finite-dimensional non-linear programming problem, which is solved using sequential quadratic programming to obtain the optimized trajectory that meets the lateral penetration constraint. Results show that the optimized trajectory achieves the designed lateral maneuver with the control command responses relatively smooth, which shows considerable engineering applicability. In addition, an optimal state feedback trajectory tracking method based on linear quadratic regulator theory is proposed. Simulation results indicate that the proposed guidance method can adapt to large dispersion conditions and track the nominal trajectory well.