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arXiv · 2402.04561

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

Govind M. Chari·Behçet Açıkmeşe
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Abstract

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.

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Govind M. Chari, Behçet Açıkmeşe. 2024-02-07. Spacecraft Rendezvous Guidance via Factorization-Free Sequential Convex Programming using a First-Order Method. https://arxiv.org/abs/2402.04561

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