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Synthesis of control of motion of a nonlinear system along a given spatial trajectory

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A Correction to this article was published on 04 April 2024

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Abstract

We consider the problem of analytical synthesis of control for a nonlinear mathematical model, ensuring the motion of a part of the phase vector coordinates along a given spatial trajectory. A control algorithm is proposed that guarantees asymptotic approach and retention of a part of the phase vector components of a nonlinear system on a desired trajectory of motion. This trajectory is defined in terms of a certain curve in the spatial coordinate system.

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References

  1. Ignatiev, M.B.: Golonomic automatic systems [in Russian]. Publishing House of the USSR Academy of Sciences, Moscow; Leningrad (1963), 204 pages

  2. Kolesnikov, A.A.: New nonlinear methods of flight control [in Russian]. Physmatlit, Moscow (2013), 196 pages

    Google Scholar 

  3. Boychuk, L.M.: A method of structural synthesis of nonlinear automatic control systems [in Russian]. Energy, Moscow (1971), 160 pages

    Google Scholar 

  4. Fichtenholz, G.M.: Course of differential and integral calculus (vol. 1) [in Russian]. Science, Moscow (1969), pp. 516–518

    Google Scholar 

  5. Kim, D.P.: Automatic control theory (vol. 1) [in Russian]. Physmatlit, Moscow (2010), issue 7, pp. 79–94

  6. Kanatnikov, A.N., Shmagina, E.A.: The problem of terminal control of aircraft motion, Nonlinear dynamics and control [in Russian]. Physmatlit, Moscow (2010), issue 7, pp. 79–94

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics of Lomonosov Moscow State University, Moscow, Russian Federation

    N. L. Grigorenko

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation

    N. L. Grigorenko

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  1. N. L. Grigorenko
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Correspondence to N. L. Grigorenko.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 73, 2023, pp. 75–83.

This article is a translation of the original article published in Russian in the journal Prikladnaya Matematika i Informatika. The translation was done with the help of an artificial intelligence machine translation tool, and subsequently reviewed and revised by an expert with knowledge of the field. Springer Nature works continuously to further the development of tools for the production of journals, books and on the related technologies to support the authors.

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Grigorenko, N.L. Synthesis of control of motion of a nonlinear system along a given spatial trajectory. Comput Math Model (2024). https://doi.org/10.1007/s10598-024-09595-8

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  • DOI: https://doi.org/10.1007/s10598-024-09595-8

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