Abstract
Robust and optimal trajectory planning in the face of nonlinear dynamics and non-gaussian uncertainties poses a fundamental challenge in the field of astronautics. This research paper delves into the exploration of entropy and dynamical indicators associated with Lagrangian Coherent Structures (LCS), specifically the Finite-Time Lyapunov Exponent (FTLE) and PseudoDiffusion Exponent, for addressing optimal control problems amidst uncertainties characterized by non-Gaussian probabilities. To accomplish this, sampling-based approaches and the Perron-Frobenius transfer operator are employed to generate open-loop stochastic optimal controls. Sparse grids are utilized to generate trajectory samples and reformulate stochastic optimal control as a deterministic optimization problem across the domain of uncertainty. Subsequently, SC-EPOCS is employed to tackle the resulting optimization problem and a comparative analysis of maximum terminal altitude and covariances is conducted to assess robustness exhibited by each metric in the context of trajectory planning for a Mars entry problem, considering uncertainties in both the initial state and model parameters.
Original language | English |
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Title of host publication | AIAA SciTech Forum and Exposition, 2024 |
Publisher | American Institute of Aeronautics and Astronautics Inc, AIAA |
ISBN (Print) | 9781624107115 |
DOIs | |
Publication status | Published - 2024 |
Event | AIAA SciTech Forum and Exposition, 2024 - Orlando, United States Duration: 8 Jan 2024 → 12 Jan 2024 |
Publication series
Name | AIAA SciTech Forum and Exposition, 2024 |
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Conference
Conference | AIAA SciTech Forum and Exposition, 2024 |
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Country/Territory | United States |
City | Orlando |
Period | 8/01/24 → 12/01/24 |
Bibliographical note
Publisher Copyright:© 2024 by Akan Selim.