Pseudospectral Convex Optimization for Reentry Vehicle Guidance with No-Fly Zone Constraints

Abstract

In this paper, the reentry guidance problem with no-fly zone constraints for a hypersonic vehicle is solved using the pseudospectral convex optimization method. The reentry guidance problem requires real-time guidance because of its complexity and uncertainty. Therefore, convex optimization is utilized, which has an advantage in computation time. Accordingly, the original problem composed of the nonlinear dynamics and non-convex constraints is transformed into a convex optimization form. This convexification process involves linearization and discretization. In this study, the pseudospectral method is used for the discretization process to improve the performance of the existing algorithm. Furthermore, some virtual terms are added to improve the convergence of the algorithm. Finally, we present numerical simulation results to demonstrate the validity of the proposed guidance algorithm.