Skip to main content
Log in

Synthesis of a combined system for precise stabilization of the Spektr-UF observatory: II

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

The paper presents the second part of the results of search studies for the development of a combined system of high-precision stabilization of the optical telescope for the designed Spectr-UF international observatory [1]. A new modification of the strict method of the synthesis of nonlinear discrete-continuous stabilization systems with uncertainties is described, which is based on the minimization of the guaranteed accuracy estimate calculated using vector Lyapunov functions. Using this method, the synthesis of the feedback parameters in the mode of precise inertial stabilization of the optical telescope axis is performed taking the design nonrigidity, quantization of signals over time and level, and errors of orientation meters, as well as the errors and limitation of control moments of executive engine-flywheels into account. The results of numerical experiments that demonstrate the quality of the synthesized system are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bychkov, I.V., Voronov, V.A., Druzhinin, E.I., et al., Synthesis of a combined system for precise stabilization of the Spektr UF Observatory. I, Kosm. Issled., 2013, vol. 51, no. 3, pp. 204–213. [Cosmic Research, pp. 189–198].

    Google Scholar 

  2. Abdullin, R.Z., Anapol’skii, L.Yu., Zemlyakov, A.S., et al., Metod vektornykh funktsii Lyapunova v teorii ustoichivosti (The Method of Lyapunov Functions in Stability Theory), Voronov, A.A. and Matrosov, V.M., Eds., Moscow: Nauka, 1987.

  3. Matrosov, V.M., Kozlov, R.I., and Matrosova, N.I., Teoriya ustoichivosti mnogokomponentnykh nelineinykh sistem (Stability Theory for Multi-Component Nonlinear Systems), Moscow: Fizmatlit, 2007.

    Google Scholar 

  4. Kozlov, R.I. and Burnosov, S.V., Investigation of dynamics of nonlinear systems with uncertainties and perturbations by the LVF method, Izv. Ross. Akad. Nauk, Tekhnich. Kibern., 1994, no. 6, pp. 117–125.

    Google Scholar 

  5. Kozlov, P.I. and Bypnocov, C.B., Synthesis of digital systems for gyroscopic stabilization of flexible spacecraft by the LVF method, in Dinamika i upravlenie kosmicheskimi ob’ektami (Space Objects Dynamics and Control), Novosibirsk: Nauka, 1992, pp. 85–101.

    Google Scholar 

  6. Lur’e, A.I., Analiticheskaya mekhanika (Analytical Mechanics), Moscow: Fizmatgiz, 1961.

    Google Scholar 

  7. Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002.

    Google Scholar 

  8. Vasil’ev, S.N. and Kozlov, R.I., Qualitative theory of mixed logical dynamical systems, in Problemy upravleniya i modelirovaniya v slozhnykh sistemakh: Tr. II Mezhdunar. konferentsii (Problems of Control and Modeling in Complex Systems, Proc. of the 2nd Intern. Conf.), Samara: Samarskii nauchnyi tsentr RAN, 2000, pp. 175–186.

    Google Scholar 

  9. Kozlov, R.I. and Kozlova, O.R., Investigation of stability of nonlinear continuous-discrete models of economical dynamics by the LVF method, Izv. Ross. Akad. Nauk, Teoriya i Sist. Upravl., 2009, no. 3, pp. 41–50.

    Google Scholar 

  10. Kozlov, R.I., Teoriya sistem sravneniya v metode vektornykh funktsii Lyapunova (Theory of Comparison Systems in the Method of Lyapunov Vector Functions), Novosibirsk: Nauka, 2001.

    Google Scholar 

  11. Kozlov, R.I., Banshchikov, A.V., Ul’yanov, S.A., and Khmel’nov, A.E., Software module VFL-REDUKTOR-ND for qualitative comparison of continuousdiscrete dynamical systems, Certificate of Official Registration of Computer Program no. 2007613833, 07.09.2007.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. I. Druzhinin.

Additional information

Original Russian Text © I.V. Bychkov, V.A. Voronov, E.I. Druzhinin, R.I. Kozlov, S.A. Ul’yanov, B.B. Belyaev, P.P. Telepnev, A.I. Ul’yashin, 2014, published in Kosmicheskie Issledovaniya, 2014, Vol. 52, No. 2, pp. 153–161.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bychkov, I.V., Voronov, V.A., Druzhinin, E.I. et al. Synthesis of a combined system for precise stabilization of the Spektr-UF observatory: II. Cosmic Res 52, 145–152 (2014). https://doi.org/10.1134/S0010952514020014

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952514020014

Keywords

Navigation