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Scalar control of a group of free-running oscillators

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Abstract

For a system consisting of an arbitrary number of free-running oscillators, consideration was given to the problem of speed. The system is governed by a bounded scalar control, the terminal point being defined by the desired configuration of oscillations. Solution of the problem was illustrated by examples.

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References

  1. Boltyanskii, V.G., Matematicheskie metody optimal’nogo upravleniya (Mathematical Methods of Optimal Control), Moscow: Nauka, 1969.

    Google Scholar 

  2. Galyaev, A.A., Problem of Optimal Oscillator Control for Nulling its Energy under Bounded Control Action, Autom. Remote Control, 2009, vol. 70, no. 3, pp. 366–374.

    Article  MathSciNet  MATH  Google Scholar 

  3. Galyaev, A.A., On One Problem of Optimal Control at the Impact Phase and Unification of the Interaction End Instants, Autom. Remote Control, 2010, vol. 71, no. 12, pp. 2055–2066.

    Article  MathSciNet  MATH  Google Scholar 

  4. Prourzin, V.A., A Constrained Scalar Control for the Motion of a System of Oscillators with Damping Residual Oscillations, J. Comput. Syst. Sci. Int., 2007, vol. 46, no. 4, pp. 521–531.

    Article  MathSciNet  MATH  Google Scholar 

  5. Reshmin, S.A. and Chernous’ko, F.L., Speed-optimal Design of Control of Nonlinear Pendulum, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2007, no. 1, pp. 13–22.

    MathSciNet  MATH  Google Scholar 

  6. Ananyevskiy, M.S., Fradkov, A.L., and Nijmeijer, H., Control of Mechanical Systems with Constraints: Two Pendulums Case Study, in Proc. 17th IFAC World Congress, Seoul, Korea, July 6–11, 2008, pp. 7690–7694.

    Google Scholar 

  7. Ovseevich, A.I. and Fedorov, A.K., Design of Bounded Control for an Oscillator System, Vestn. Nizhegorodsk. Univ. im. N.I. Lobachevskogo, 2013, no. 1(3), pp. 278–283.

    Google Scholar 

  8. Chernous’ko, F.L., Decomposition and Suboptimal Control in Dynamic Systems, Prikl. Mat. Mekh., 1990, vol. 54, no. 6, pp. 883–893.

    MathSciNet  MATH  Google Scholar 

  9. Chernous’ko, F.L., Design of Control of Nonlinear Dynamic System, Prikl. Mat. Mekh., 1992, vol. 56, no. 2, pp. 179–191.

    MathSciNet  Google Scholar 

  10. Anan’evskiy, I.M. and Reshmin, S.A., Method of Decomposition in the Problem of Tracking Trajectories of Mechanical Systems, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2002, no. 5, pp. 25–32.

    Google Scholar 

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Correspondence to A. A. Galyaev.

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Original Russian Text © A.A. Galyaev, 2016, published in Avtomatika i Telemekhanika, 2016, No. 9, pp. 3–18.

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Galyaev, A.A. Scalar control of a group of free-running oscillators. Autom Remote Control 77, 1511–1523 (2016). https://doi.org/10.1134/S0005117916090010

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  • DOI: https://doi.org/10.1134/S0005117916090010

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