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Joint maximum principle in the problem of synthesizing an optimal control of nonlinear systems

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Abstract

The problem of optimization of dynamic systems is considered. It is shown that, unlike the well-known methods of optimal control, through use of the maximum principle it becomes possible to synthesize an efficient control law that substantially reduces computational complexity, as is demonstrated by the results of numerical simulation.

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References

  1. Pontryagin, L.S., Matematicheskaya Teoriya Optimal’nykh Protsessov (Mathematical Theory of Optimal Processes), Moscow: Nauka, 1976.

    Google Scholar 

  2. Bellman R., Dynamic Programming, Moscow: Inostrannaya Literatura, Nauka, 1960.

    Google Scholar 

  3. Krasovskii, A.A., Ed., Spravochnik po Teorii Avtomaticheskogo Upravleniya (Handbook on Automatic Control Theory), Moscow: Nauka, 1987.

    Google Scholar 

  4. Miriam, K., Optimization Theory and the Design of Control Systems with Feedback, Moscow: Mir, 1967.

    Google Scholar 

  5. Kolesnikov, A.A., Sinergeticheskaya Teoriya Upravleniya (Synergistic Control Theory), Taganrog: TRGU; Moscow: Energoatomizdat, 1994.

    Google Scholar 

  6. Kostoglotov, A.A., Kuznetsov, A.A., Deryushev, V.V., and Zhumay, V.E., Variational Principles in the Problem of Identification of the Parameters of Dynamic Objects, Nauka-Proizvodstvo, 2004, no. 2 (70), pp. 32–37.

  7. Lur’e, A.I. Analiticheskaya Mekhanika, Moscow: Gos. Izd. Fiz.-Matem. Liter., 1961.

    Google Scholar 

  8. Voronov, A.A., Ed., Teoriya Avtomaticheskogo Upravleniya Ch. 2. Teoriya Nelineynykh i Spetsialn’ykh Sistem Avtomaticheskogo Upravleniya (Automatic Control Theory. Part 2. Theory of Nonlinear and Special Automatic Control Systems), Moscow: Vysshaya Shkola, 1986.

    Google Scholar 

  9. Markeev, A.P., Teoreticheskaya Mekhanika (Theoretical Mechanics), Moscow: Nauka, 1990.

    MATH  Google Scholar 

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Correspondence to A. A. Kostoglotov.

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Original Russian Text © A.A. Kostoglotov, A.I. Kostoglotov, S.V. Lazarenko, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 5, pp. 52–61.

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Kostoglotov, A.A., Kostoglotov, A.I. & Lazarenko, S.V. Joint maximum principle in the problem of synthesizing an optimal control of nonlinear systems. Aut. Conrol Comp. Sci. 41, 274–281 (2007). https://doi.org/10.3103/S0146411607050069

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  • DOI: https://doi.org/10.3103/S0146411607050069

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