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Selection of optimal parameters for multipurpose controllable systems: General formulation of the problem and solution algorithms

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Abstract

This paper describes an approach to the selection of optimal parameters for multipurpose controllable systems intended to perform a series of maneuvers.

The paper is an extension of the writer's previous papers on the subject (Refs. 1–6). It states the problem in general terms and discusses the selection of a functional. Depending on the amount of available data on the parameters of maneuver, the problem reduces to either minimization of a function of many variables or a game problem.

Algorithms for the solution of the problems formulated are developed. A model problem of space flight mechanics with low-thrust engines is used for illustration purposes. Several applications of the approach developed are contained in Refs. 7–9. In addition, Refs. 8–9 suggest one more method for solving the problem of Section 3, the so-called method of optimal coverings. Another direction of research is described in Ref. 10.

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References

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Authors and Affiliations

  1. Institute of Control Sciences, USSR Academy of Sciences, Moscow, USSR

    V. V. Tokarev (Laboratory Chief)

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  1. V. V. Tokarev
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Communicated by T. N. Edelbaum

The author is indebted to Dr. R. N. Ovsiannikov for performing the calculations of Section 2 and to Professor A. I. Lurie for valuable discussion.

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Tokarev, V.V. Selection of optimal parameters for multipurpose controllable systems: General formulation of the problem and solution algorithms. J Optim Theory Appl 15, 703–721 (1975). https://doi.org/10.1007/BF00935508

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