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Algorithms for the synthesis of observers for nonlinear dynamic systems

  • Control in Deterministic Systems
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

For nonlinear dynamic systems, an approach based on cycle-by-cycle linearization is proposed to construct algorithms for state observers based on linear estimation theory. This approach makes it possible to analytically synthesize a full-rank and a reduced observer of the angular velocity of a spacecraft rotation relative to the body reference frame given the measurements of three angles determining the position of this reference frame in the inertial space. Simulation results are presented.

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References

  1. N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, V. N. Ryabchenko, S. N. Timakov, and E. A. Cheremnykh, “Identification of the position of an equilibrium attitude of the international space station as a problem of stable matrix completion,” J. Comput. Syst. Sci. Int. 51, 291–305 (2012).

    Article  Google Scholar 

  2. N. E. Zubov, E. A. Mikrin, V. N. Ryabchenko, and S. N. Timakov, “The use of an adaptive bandpass filter as an observer in the control loop of the international space station,” J. Comput. Syst. Sci. Int. 51, 560–572 (2012).

    Article  MATH  Google Scholar 

  3. N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, V. N. Ryabchenko, and S. N. Timakov, “The use of the exact pole placement algorithm for the control of spacecraft motion,” J. Comput. Syst. Sci. Int. 52, 129–144 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  4. Handbook of Automatic Control Theory, Ed. by A. A. Krasovskii (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  5. N. E. Zubov, E. A. Vorob’eva, E. A. Mikrin, M. Sh. Misrikhanov, V. N. Ryabchenko, and S. N. Timakov, “Synthesis of stabilizing spacecraft control based on generalized Ackermann’s formula,” J. Comput. Syst. Sci. Int. 50, 93–103 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. V. Bogachev, E. A. Vorob’eva, N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, V. N. Ryabchenko, and S. N. Timakov, “Unloading angular momentum for inertial actuators of a spacecraft in the pitch channel,” J. Comput. Syst. Sci. Int. 50, 483–490 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  7. N. E. Zubov, E. A. Mikrin, M. Sh. Misriknanov, and V. N. Ryabchenko, “Synthesis of decoupling laws for attitude stabilization of a spacecraft,” J. Comput. Syst. Sci. Int. 51, 80–96 (2012).

    Article  Google Scholar 

  8. N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, and V. N. Ryabchenko, “Modification of the exact pole placement method and its application for the control of spacecraft motion,” J. Comput. Syst. Sci. Int. 52, 279–292 (2013).

    Article  MathSciNet  Google Scholar 

  9. N. E. Zubov, E. A. Mikrin, M. Sh. Misriknanov, and V. N. Ryabchenko, “Synthesis of controls for a spacecraft that optimize the pole placement of the closed-loop control system,” J. Comput. Syst. Sci. Int. 51, 431–444 (2012).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Korolev Rocket and Space Corporation “Energia”, ul. Lenina 4a, Korolev, Moscow oblast, 141070, Russia

    N. E. Zubov, E. A. Mikrin, A. S. Oleinik & V. N. Ryabchenko

  2. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    N. E. Zubov, E. A. Mikrin, A. S. Oleinik & V. N. Ryabchenko

  3. Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia

    N. E. Zubov, E. A. Mikrin, A. S. Oleinik & V. N. Ryabchenko

Authors
  1. N. E. Zubov
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  2. E. A. Mikrin
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  3. A. S. Oleinik
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  4. V. N. Ryabchenko
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Corresponding author

Correspondence to N. E. Zubov.

Additional information

Original Russian Text © N.E. Zubov, E.A. Mikrin, A.S. Oleinik, V.N. Ryabchenko, 2014, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2014, No. 5, pp. 3–16.

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Zubov, N.E., Mikrin, E.A., Oleinik, A.S. et al. Algorithms for the synthesis of observers for nonlinear dynamic systems. J. Comput. Syst. Sci. Int. 53, 623–635 (2014). https://doi.org/10.1134/S1064230714050153

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  • DOI: https://doi.org/10.1134/S1064230714050153

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