Skip to main content
SpringerLink
Log in

State Estimation for Nonstationary Discrete Systems with Unknown Input Using Compensations

  • MATHEMATICAL PROCESSING OF PHYSICS EXPERIMENTAL DATA
  • Published:
Russian Physics Journal Aims and scope

The problem of constructing state estimations for linear non-stationary dynamic systems with discrete time is considered for a model with unknown input. A non-stationary filtering algorithm with compensation for the constant component and estimation of the unknown changing input component by the least squares method is suggested. Results of statistical simulation are presented. The algorithm can be used for solving problems of processing information obtained as a result of observations over physical processes.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. E. Kalman and R. Busy, Trans. ASME, J. Basic Eng., 83, 95–108 (1961).

    Article  Google Scholar 

  2. B. Friedland, IEEE Trans. Automat. Contr., AC-14, 359–367 (1969).

    Article  MathSciNet  Google Scholar 

  3. J. Chen and R. J. Patton, IEE Proc. Control Theory Appl., 143, 31–36 (1996).

    Article  MATH  Google Scholar 

  4. M. Darouach, M. Zasadzinski, and S. J. Xu, IEEE Trans. Automat. Contr., AC-39, 606 (1999).

    MathSciNet  Google Scholar 

  5. M. Darouach, M. Zasadzinski, and M. Boutayeb, Automatica, 39, 867–876 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  6. D. Janczak and Y. Grishin, Control and Cybernetics, 35 (4), 851–862 (2006).

    MATH  MathSciNet  Google Scholar 

  7. S. Gillijns and B. Moor, Automatica, 43, 111–116 (2007).

    Article  MATH  Google Scholar 

  8. C.-S. Hsieh, Asian J. Control, 12, No. 4, 510–523 (2010).

    MathSciNet  Google Scholar 

  9. G. M. Koshkin and V. I. Smagin, in: Proc. 10th Int. Conf. on Digital Technologies, Žilina (2014), pp. 120–124.

  10. M. Witczak, Fault Diagnosis and Fault-Tolerant Control Strategies for Non-Linear Systems. Lecture Notes in Electrical Engineering, Switzerland, Springer International Publishing, Cham (2014), pp. 19–56.

  11. F. Ben Hmida, K. Khemiri, J. Ragot, and M. Gossa, Math. Probl. Eng., 2010, 1–24 (2010).

    Google Scholar 

  12. S. V. Smagin, Avtometriya, 45, No. 6, 29–37 (2009).

    MathSciNet  Google Scholar 

  13. V. I. Smagin and S. V. Smagin, Vestn. Tomsk. Gosud. Univ. Upravl., Vychisl. Tekh. i Inform., No. 3(16), 43–51 (2011).

    Google Scholar 

  14. V. I. Smagin, Russ. Phys. J., 57, No. 5, 682–690 (2014).

    Article  Google Scholar 

  15. A. A. Amosov and V. V. Kolpakov, Probl. Pered. Inform., No. 1, 3–15 (1972).

Download references

Author information

Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    V. I. Smagin

Authors
  1. V. I. Smagin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. I. Smagin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 122–127, July, 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Smagin, V.I. State Estimation for Nonstationary Discrete Systems with Unknown Input Using Compensations. Russ Phys J 58, 1010–1017 (2015). https://doi.org/10.1007/s11182-015-0602-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-015-0602-x

Keywords

Search

Navigation