Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance

Fuente: arXiv
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Autores principales: Briden, Julia, Gurga, Trey, Johnson, Breanna, Cauligi, Abhishek, Linares, Richard
Formato: Preprint
Publicado: 2025
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author Briden, Julia
Gurga, Trey
Johnson, Breanna
Cauligi, Abhishek
Linares, Richard
author_facet Briden, Julia
Gurga, Trey
Johnson, Breanna
Cauligi, Abhishek
Linares, Richard
contents This work introduces Transformer-based Successive Convexification (T-SCvx), an extension of Transformer-based Powered Descent Guidance (T-PDG), generalizable for efficient six-degree-of-freedom (DoF) fuel-optimal powered descent trajectory generation. Our approach significantly enhances the sample efficiency and solution quality for nonconvex-powered descent guidance by employing a rotation invariant transformation of the sampled dataset. T-PDG was previously applied to the 3-DoF minimum fuel powered descent guidance problem, improving solution times by up to an order of magnitude compared to lossless convexification (LCvx). By learning to predict the set of tight or active constraints at the optimal control problem's solution, Transformer-based Successive Convexification (T-SCvx) creates the minimal reduced-size problem initialized with only the tight constraints, then uses the solution of this reduced problem to warm-start the direct optimization solver. 6-DoF powered descent guidance is known to be challenging to solve quickly and reliably due to the nonlinear and non-convex nature of the problem, the discretization scheme heavily influencing solution validity, and reference trajectory initialization determining algorithm convergence or divergence. Our contributions in this work address these challenges by extending T-PDG to learn the set of tight constraints for the successive convexification (SCvx) formulation of the 6-DoF powered descent guidance problem. In addition to reducing the problem size, feasible and locally optimal reference trajectories are also learned to facilitate convergence from the initial guess. T-SCvx enables onboard computation of real-time guidance trajectories, demonstrated by a 6-DoF Mars powered landing application problem.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00930
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance
Briden, Julia
Gurga, Trey
Johnson, Breanna
Cauligi, Abhishek
Linares, Richard
Optimization and Control
Machine Learning
Robotics
Systems and Control
This work introduces Transformer-based Successive Convexification (T-SCvx), an extension of Transformer-based Powered Descent Guidance (T-PDG), generalizable for efficient six-degree-of-freedom (DoF) fuel-optimal powered descent trajectory generation. Our approach significantly enhances the sample efficiency and solution quality for nonconvex-powered descent guidance by employing a rotation invariant transformation of the sampled dataset. T-PDG was previously applied to the 3-DoF minimum fuel powered descent guidance problem, improving solution times by up to an order of magnitude compared to lossless convexification (LCvx). By learning to predict the set of tight or active constraints at the optimal control problem's solution, Transformer-based Successive Convexification (T-SCvx) creates the minimal reduced-size problem initialized with only the tight constraints, then uses the solution of this reduced problem to warm-start the direct optimization solver. 6-DoF powered descent guidance is known to be challenging to solve quickly and reliably due to the nonlinear and non-convex nature of the problem, the discretization scheme heavily influencing solution validity, and reference trajectory initialization determining algorithm convergence or divergence. Our contributions in this work address these challenges by extending T-PDG to learn the set of tight constraints for the successive convexification (SCvx) formulation of the 6-DoF powered descent guidance problem. In addition to reducing the problem size, feasible and locally optimal reference trajectories are also learned to facilitate convergence from the initial guess. T-SCvx enables onboard computation of real-time guidance trajectories, demonstrated by a 6-DoF Mars powered landing application problem.
title Tight Constraint Prediction of Six-Degree-of-Freedom Transformer-based Powered Descent Guidance
topic Optimization and Control
Machine Learning
Robotics
Systems and Control
url https://arxiv.org/abs/2501.00930