SIAM Undergraduate Research Online
Volume 18
In This Volume
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A Framework for Approximating Perturbed Optimal Control Problems
Published electronically August 18, 2025DOI: 10.1137/24S1686000
Authors
Riley Link (Corresponding author – Creighton University) , Ethan Ebbighausen (University of North Carolina Chapel Hill)
Project Advisors
Alen Alexanderian (North Carolina State University), Joseph Hart (Sandia National Laboratories)
Abstract
We consider trajectory optimal control problems in which parameter uncertainty limits the applicability of control trajectories computed prior to travel. Hence, efficient trajectory adjustment is needed to ensure successful travel. However, it is often prohibitive or impossible to recalculate the optimal control in-transit due to strict time constraints or limited onboard computing resources. Thus, we propose a framework for quick and accurate trajectory approximations by using postoptimality sensitivity information. This allows the reduction of uncertain parameter space and an instantaneous approximation of the new optimal controller while using sensitivity data computed and stored pretransit.
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Applications of Automatic Differentiation in Image Registration
Published electronically July 28, 2025 -
Integrating Local Learning into the Two-Stage Markov Task to Separate Model-Based from Model-Free Learning
Published electronically July 11, 2025 -
Generative Modeling with Diffusion
Published electronically June 27, 2025 -
Bernstein Polynomials: A Bridge Between the Weierstrass Theorem and a Landau Temperature Fluctuation Problem
Published electronically June 10, 2025 -
An Agent-based Approach to the Gravity Model of Linguistic Diffusion
Published electronically May 28, 2025 -
Spatio-Temporal Analysis for Modeling High-Demand Events in European Private Aviation
Published electronically May 7, 2025 -
Analyzing Mortar Baseplate Movement Using Differential Equations
Published electronically April 29, 2025 -
Counting the Eigenvalues of the Laplace Operator on Some Convex Domains
Published electronically April 14, 2025 -
A Probabilistic Approach to the Enumeration of Bounded Motzkin Paths via the Gambler's Ruin
Published electronically March 19, 2025 -
A Comprehensive Study of Covid-19 in Florida
Published electronically March 12, 2025 -
Training Implicit Networks for Image Deblurring using Jacobian-Free Backpropagation
Published electronically February 26, 2025 -
Controlling Ball Progression in Soccer
Published electronically February 20, 2025 -
A Laplace Equation on a Rectangle With Mixed Boundary Conditions
Published electronically February 5, 2025 -
Modeling Traffic Conditions to Determine Shortest Path
Published electronically January 10, 2025
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