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Optimal control of nonlinear systems with separated linear part via quadratic criteria

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Abstract

We present a method for synthesis of optimal control with feedback of nonlinear systems with separated linear part via quadratic criteria. This method is based on a special method of successive approximations, which allows, under standard assumptions, to find optimal control within any finite time interval and to get the procedure of its construction. An example is provided for applying this method for synthesis of control of a system which is similar to Watt’s centrifugal governor.

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Acknowledgements

The research was supported by the Russian Science Foundation (Project 16-11-10352) and Russian Foundation for Basic Research (Projects 16-07-00801, 18-01-00842).

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Authors and Affiliations

  1. Institute for Information Transmission Problems RAS, 19, Grand Carriage Line, Moscow, Russia, 127994

    Alexander P. Afanas’ev & Elena V. Putilina

  2. National Research University Higher School of Economics, 20, Myasnitskaya st., Moscow, Russia, 101000

    Alexander P. Afanas’ev

  3. Tver State Technical University, 22, Af. Nikitin emb., Tver, Russia, 170026

    Sergei M. Dzyuba & Irina I. Emelyanova

  4. Tambov State Technical University, 106, Sovetskaya st., Tambov, Russia, 392000

    Alexander N. Pchelintsev

Authors
  1. Alexander P. Afanas’ev
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  2. Sergei M. Dzyuba
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  3. Irina I. Emelyanova
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  4. Alexander N. Pchelintsev
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  5. Elena V. Putilina
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Correspondence to Sergei M. Dzyuba.

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Afanas’ev, A.P., Dzyuba, S.M., Emelyanova, I.I. et al. Optimal control of nonlinear systems with separated linear part via quadratic criteria. Optim Lett 13, 1715–1725 (2019). https://doi.org/10.1007/s11590-018-1309-z

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  • DOI: https://doi.org/10.1007/s11590-018-1309-z

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