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Control of trajectory for flying round obstacles by the methods of analytical mechanics

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Abstract

Control of trajectory for flying round an obstacle is determined through optimization by the generalized work and a hierarchy of criteria. The methods of analytical mechanics are applied to form real-time controls under given constraints.

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REFERENCES

  1. Spravochnik po teorii avtomaticheskogo upravleniya (A Handbook on Automatic Control Theory), Krasovskii, A.A., Ed., Moscow: Nauka, 1987.

    Google Scholar 

  2. Krasovskii, A.A., Bukov, V.N., and Shendrik, V.S., Universal’nye algoritmy optimal’nogo upravleniya nepreryvnymi protsessami (Universal Optimal Control Algorithms for Continuous Processes), Moscow: Nauka, 1977.

    Google Scholar 

  3. Bukov, V.N., Adaptivnye prognoziruyushchie sistemy upravleniya poletom (Adaptive Flight Control Prediction Systems), Moscow: Nauka, 1987.

    Google Scholar 

  4. Kabanov, S.A., Upravlenie sistemami na prognoziruyushchikh modelyakh (Control of Systems by Prediction models), St. Petersburg: S.-Peterburg. Gos. Univ., 1997.

    Google Scholar 

  5. Krasovskii, A.A., A Fast Numerical Integration Method for a Class of Dynamic Systems, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1989, no. 1, pp. 3–14.

  6. Naumov, A.I., Application of Analytical Prediction Models in Flight Control Systems and Flight Simulators, Avtom. Telemekh., 2001, no. 7, pp. 178–187.

  7. Kabanov, S.A., A Sequential Optimization Algorithm with Spiral Prediction for Reentry Control, Izv. Ross. Akad. Nauk, Tekh. Kibern., 1993, no. 4, pp. 141–147.

  8. Gantmakher, F.R., Lektsii po analiticheskoi mekhanike (Lectures on Analytical Mechanics), Moscow: Nauka, 1966.

    Google Scholar 

  9. Ivanilov, Yu.P., Applicability of the Methods of Analytical Mechanics to Optimal Control, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1983, no. 2, pp. 61–71.

  10. Komatsuzaki, T., Equivalent Transformation of Optimal Control Problems, Int. J. Control, 1977, vol. 20, no.5, pp. 707–719.

    Google Scholar 

  11. Kabanov, S.A. and Shalygin, A.S., Solution of the Flight Terminal Control Problem by the Methods of Analytical Mechanics, Avtom. Telemekh., 1992, no. 8, pp. 39–45.

  12. Dwight, H.B., Tables of Integrals and Other Mathematical Data, New York: Macmillan, 1961. Translated under the title Tablitsy integralov i drugie matematicheskie formuly, Moscow: Nauka, 1977.

    Google Scholar 

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Authors and Affiliations

  1. Ustinov State Technical University “VOENMEKH,”, St. Petersburg, Russia

    V. N. Anisimov & S. A. Kabanov

Authors
  1. V. N. Anisimov
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  2. S. A. Kabanov
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Translated from Avtomatika i Telemekhanika, No. 3, 2005, pp. 3–10.

Original Russian Text Copyright © 2005 by Anisimov, Kabanov.

This paper was recommended for publication by V.N. Bukov, a member of the Editorial Board

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Anisimov, V.N., Kabanov, S.A. Control of trajectory for flying round obstacles by the methods of analytical mechanics. Autom Remote Control 66, 341–347 (2005). https://doi.org/10.1007/s10513-005-0063-8

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  • DOI: https://doi.org/10.1007/s10513-005-0063-8

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