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On a new computing technique in optimal control and its application to minimal-time flight profile optimization

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Abstract

A new constructive approach to optimization problems for dynamic systems that avoids having to solve dynamic equations and has both computational and theoretical advantages is presented. On the theoretical level, it yields a simple direct method for the Hamiltonian and the maximum principle and a constructive derivation of the Lagrange parameters. The computational aspects are illustrated by results obtained for a minimal-time flight profile optimization problem.

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References

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Authors and Affiliations

  1. System Science Department, University of California at Los Angeles, Los Angeles, California

    A. V. Balakrishnan (Head)

Authors
  1. A. V. Balakrishnan
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Additional information

This research was supported in part by the Applied Mathematics Division, Office of Scientific Research, Office of Aerospace Research, United States Air Force, under Grant No. 69-1408. All the calculations presented in this paper were carried out under the direction of Mr. L. W. Taylor, NASA Flight Research Center, Edwards, California, who also contributed many essential ideas throughout this work. This paper was presented at the Colloquium on Optimization held in Novosibirsk, USSR, 1968.

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Balakrishnan, A.V. On a new computing technique in optimal control and its application to minimal-time flight profile optimization. J Optim Theory Appl 4, 1–21 (1969). https://doi.org/10.1007/BF00928713

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  • DOI: https://doi.org/10.1007/BF00928713

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