Spacecraft Rendezvous Guidance via Factorization-Free Sequential Convex Programming using a First-Order Method

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Auteurs principaux: Chari, Govind M., Açıkmeşe, Behçet
Format: Preprint
Publié: 2024
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author Chari, Govind M.
Açıkmeşe, Behçet
author_facet Chari, Govind M.
Açıkmeşe, Behçet
contents We implement a fully factorization-free algorithm for nonconvex, free-final-time trajectory optimization. This algorithm is based on sequential convex programming and utilizes an inverse-free, exact discretization procedure to ensure dynamic feasibility of the converged trajectory and PIPG, a fast, first-order conic optimization algorithm as the subproblem solver. Although PIPG requires the tuning of a hyperparameter to achieve fastest convergence, we show that PIPG can be tuned to a nominal trajectory optimization problem and it is robust to variations in initial condition. We demonstrate this with a monte carlo simulation of the free-final-time rendezvous problem, using Clohessy-Wiltshire dynamics, an impulsive thrust model, and various state and control constraints including a spherical keepout zone.
format Preprint
id arxiv_https___arxiv_org_abs_2402_04561
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spacecraft Rendezvous Guidance via Factorization-Free Sequential Convex Programming using a First-Order Method
Chari, Govind M.
Açıkmeşe, Behçet
Optimization and Control
We implement a fully factorization-free algorithm for nonconvex, free-final-time trajectory optimization. This algorithm is based on sequential convex programming and utilizes an inverse-free, exact discretization procedure to ensure dynamic feasibility of the converged trajectory and PIPG, a fast, first-order conic optimization algorithm as the subproblem solver. Although PIPG requires the tuning of a hyperparameter to achieve fastest convergence, we show that PIPG can be tuned to a nominal trajectory optimization problem and it is robust to variations in initial condition. We demonstrate this with a monte carlo simulation of the free-final-time rendezvous problem, using Clohessy-Wiltshire dynamics, an impulsive thrust model, and various state and control constraints including a spherical keepout zone.
title Spacecraft Rendezvous Guidance via Factorization-Free Sequential Convex Programming using a First-Order Method
topic Optimization and Control
url https://arxiv.org/abs/2402.04561