SIAM Undergraduate Research Online

Volume 18

In This Volume

  • A Framework for Approximating Perturbed Optimal Control Problems

    Published electronically August 18, 2025

    DOI: 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.

  • Generative Modeling with Diffusion

    Published electronically June 27, 2025
  • A Comprehensive Study of Covid-19 in Florida

    Published electronically March 12, 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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