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Trajectory design via unsupervised probabilistic learning on optimal manifolds

Journal Article · · Data-Centric Engineering
DOI:https://doi.org/10.1017/dce.2022.26· OSTI ID:1882958
Abstract

This article illustrates the use of unsupervised probabilistic learning techniques for the analysis of planetary reentry trajectories. A three-degree-of-freedom model was employed to generate optimal trajectories that comprise the training datasets. The algorithm first extracts the intrinsic structure in the data via a diffusion map approach. We find that data resides on manifolds of much lower dimensionality compared to the high-dimensional state space that describes each trajectory. Using the diffusion coordinates on the graph of training samples, the probabilistic framework subsequently augments the original data with samples that are statistically consistent with the original set. The augmented samples are then used to construct conditional statistics that are ultimately assembled in a path planning algorithm. In this framework, the controls are determined stage by stage during the flight to adapt to changing mission objectives in real-time.

Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States); Sandia National Laboratories,, Albuquerque, NM
Sponsoring Organization:
USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
1882958
Alternate ID(s):
OSTI ID: 1887411
Report Number(s):
SAND2022-11950J; e26; PII: S2632673622000260
Journal Information:
Data-Centric Engineering, Journal Name: Data-Centric Engineering Vol. 3; ISSN 2632-6736
Publisher:
Cambridge University Press (CUP)Copyright Statement
Country of Publication:
United Kingdom
Language:
English

References (20)

Probabilistic nonconvex constrained optimization with fixed number of function evaluations: Probabilistic nonconvex constrained optimization with fixed number of function evaluations journal September 2017
Towards Real-Time Path Planning through Deep Reinforcement Learning for a UAV in Dynamic Environments journal September 2019
Diffusion maps journal July 2006
Data-driven probability concentration and sampling on manifold journal September 2016
Fast Generation of Optimal Asteroid Landing Trajectories Using Deep Neural Networks journal August 2020
Deep Drone Racing: From Simulation to Reality With Domain Randomization journal February 2020
Practical Methods for Optimal Control and Estimation Using Nonlinear Programming journal January 2010
Interplanetary transfers via deep representations of the optimal policy and/or of the value function conference July 2019
A BVP solver based on residual control and the Maltab PSE journal September 2001
Indirect Optimization of Low-Thrust Capture Trajectories journal July 2006
Autonomous Entry Guidance for Hypersonic Vehicles by Convex Optimization journal July 2018
Uniform Trigonometrization Method for Optimal Control Problems with Control and State Constraints journal September 2020
Onboard Generation of Optimal Trajectories for Hypersonic Vehicles Using Deep Learning journal March 2021
Deep Learning Techniques for Autonomous Spacecraft Guidance During Proximity Operations journal November 2021
Constrained Trajectory Optimization for Planetary Entry via Sequential Convex Programming journal October 2017
Real-Time Optimal Control via Deep Neural Networks: Study on Landing Problems journal May 2018
Imitation Learning-Based Unmanned Aerial Vehicle Planning for Multitarget Reconnaissance Under Uncertainty journal January 2020
Survey of Numerical Methods for Trajectory Optimization journal March 1998
Direct Trajectory Optimization by a Chebyshev Pseudospectral Method journal January 2002
SymPy: symbolic computing in Python journal January 2017

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