Numerical Improvements to Closed-Loop Ascent Guidance
This paper presents numerical enhancements for optimal closed-loop ascent guidance through atmospheric. For 3-dimensional ascent formulation, optimal endo-atmospheric ascent trajectory is numerically obtained by the relaxation approach, and the exo-atmospheric ascent trajectory is generated by an analytical multiple-shooting method. A new root-finding method based on double dogleg method and More’s Levenberg-Marquardt method with Gaussian elimination is presented. The simulation results indicate that our new algorithm has remarkable computation and convergence performances.
B. F. Pan and S. Tang, "Numerical Improvements to Closed-Loop Ascent Guidance", Advanced Materials Research, Vols. 383-390, pp. 5076-5081, 2012