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Sensitivity-Driven Experimental Design to Facilitate Control of Dynamical Systems

Journal Article · · Journal of Optimization Theory and Applications
 [1];  [1];  [2];  [3]
  1. Sandia National Laboratories (SNL-CA), Livermore, CA (United States). Scientific Machine Learning
  2. Sandia National Laboratories (SNL-CA), Livermore, CA (United States). Navigation, Guidance & Ctrl II
  3. Sandia National Laboratories (SNL-CA), Livermore, CA (United States)
+ Show Author Affiliations
Control of nonlinear dynamical systems is a complex and multifaceted process. Essential elements of many engineering systems include high-fidelity physics-based modeling, offline trajectory planning, feedback control design, and data acquisition strategies to reduce uncertainties. Here this article proposes an optimization-centric perspective which couples these elements in a cohesive framework. We introduce a novel use of hyper-differential sensitivity analysis to understand the sensitivity of feedback controllers to parametric uncertainty in physics-based models used for trajectory planning. These sensitivities provide a foundation to define an optimal experimental design which seeks to acquire data most relevant in reducing demand on the feedback controller. Our proposed framework is illustrated on the Zermelo navigation problem and a hypersonic trajectory control problem using data from NASA’s X-43 hypersonic flight tests.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
2311690
Report Number(s):
SAND--2023-02193J
Journal Information:
Journal of Optimization Theory and Applications, Journal Name: Journal of Optimization Theory and Applications Journal Issue: 3 Vol. 196; ISSN 0022-3239
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (17)

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Hyper-X program status
  • McClinton, Charles; Rausch, David; Sitz, Joel
  • 10th AIAA/NAL-NASDA-ISAS International Space Planes and Hypersonic Systems and Technologies Conference https://doi.org/10.2514/6.2001-1910
conference April 2001
X-43 - Scramjet Power Breaks the Hypersonic Barrier: Dryden Lectureship in Research for 2006 conference June 2012
Model Fidelity Studies for Rapid Trajectory Optimization conference January 2019

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Related Subjects

42 ENGINEERING
hyper-differential sensitivity analysis
optimal control
optimal experimental design
trajectory planning