Physics-Informed Neural Networks for Designing Spacecraft Trajectories

Physics-Informed Neural Networks for Designing Spacecraft Trajectories

Goldman, Thomas (TU Delft Aerospace Engineering)

Cowan, K.J. (mentor)
Mooij, E. (graduation committee)

Delft University of Technology

Aerospace Engineering

2023-11-24

This thesis proposes an unsupervised Physics-Informed Neural Network (PINN) for solving optimal control problems with the direct method to design and optimize transfer trajectories. The network adheres analytically to boundary conditions and includes the objective fitness as regularization in its loss function. A test scenario of a planar Earth-Mars low-thrust optimal-fuel transfer and rendezvous is chosen. Comprehensive examination of training strategies reveals that convergence is highly dependent on the initialization of the network and that correctly balancing loss terms is essential for navigating the intricate loss landscape. This balance is achieved by carefully selecting loss weights and implementing a refined learning rate schedule. Comparative analysis to hodographic shaping solutions demonstrates that the PINN effectively identifies near-optimal solutions across a wide range of initial and final constraints for the Earth-Mars transfer problem, with a maximum improvement of 4.5 km s⁻¹ and median improvement of 0.55 km s⁻¹. The PCNN shows promise as a preliminary design tool for trajectory optimization in nonlinear dynamics.

Low-thrust transfer orbits
Physics Informed Neural Networks
Optimal control
Space Missions
Optimization
Low-thrust propulsion

http://resolver.tudelft.nl/uuid:bef00e5f-cab2-41e9-af8d-747d1e9284ea

2025-11-24

Student theses

master thesis

© 2023 Thomas Goldman