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Conversion of Optimal Control Problems into Parameter Optimization Problems

Hull, David G.·1997·Journal of Guidance, Control, and Dynamics

Abstract

Several methods exist for converting optimal control problems into parameter optimization problems. Numerical integration, collocation, direct transcription, and differential inclusion are examples of these conversion methods. Because of the similarities of these methods, they are categorized in this paper by their numerical integration technique, the order of the integration technique, and the unknowns of the parameter optimization problem. The integration techniques are divided into explicit and implicit approaches, and the unknowns are some combination of design parameters, control parameters, and state parameters. The method called numerical integration has the controls as unknowns and uses explicit integration. Collocation and direct transcription have the controls and states as unknowns and use implicit integration. Differential inclusion has the states as unknowns and uses implicit integration. (Author)

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Research works printed but not linked: 10

  1. Hull D. G., 1982, Journal of the Astronautical Sciences, 30, 117
  2. 10.2514/3.20223 · DOI · Paper page
  3. 10.2514/3.20934 · doi:10.2514/3.20934
  4. 10.1007/BF03256529 · doi:10.1007/bf03256529
  5. 10.2514/3.21224 · doi:10.2514/3.21224
  6. Hoffman J. D., 1992, Numerical Methods for Engineers and Scientists
  7. Ascher U. M., 1988, Numerical Solution of Boundary Value Problems for Ordinary Differential Problems
  8. 10.1090/S0025-5718-1964-0159424-9 · doi:10.1090/s0025-5718-1964-0159424-9
  9. Hempel P., 1976, AIAA Paper
  10. 10.2514/3.21662 · doi:10.2514/3.21662

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Metadata

Authors
Hull, D. G.
Venue
Journal of Guidance, Control, and Dynamics
Published
1997-01
Volume
20
Issue
1
Pages
57-60
ISSN
  • 0731-5090 (ISSN-L)
  • 1533-3884
OpenAlex
W1991554046
Cited by
351
References
0
FWCI
11.53
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Conversion of Optimal Control Problems into Parameter Optimization Problems. https://app.cochat.ai/papers/10.2514/2.4033
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Hull, D. G. (1997). Conversion of Optimal Control Problems into Parameter Optimization Problems. Journal of Guidance, Control, and Dynamics. https://doi.org/10.2514/2.4033

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