Skip to main content
SpringerLink
Log in

Functional observer design using linear matrix inequalities

  • Analysis and Synthesis of Signals and Images
  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

It is shown that the problem of observer design for estimating a set of linear combinations of state variables of a plant can be formulated in terms of linear matrix inequalities. An algorithm for constructing functional observers is proposed based on a nonsingular transformation of a plant model in the state space by matrix canonization with subsequent solution of the system of linear matrix inequalities.

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. Yu. N. Zolotukhin and A. A. Nesterov, “Aircraft Attitude Control,” Avtometriya 51 (5), 35–41 (2015) [Optoelectron., Instrum. Data Process. 51 (5), 456–461 (2015)].

    Google Scholar 

  2. A. Bonnick, Automotive Computer Controlled Systems. Diagnostic Tools and Techniques (Butterworth-Heinemann, Oxford, 2001).

    Google Scholar 

  3. N. T. Kuzovkov, Modal Control and Observers (Mashinostroenie, Moscow, 1976) [in Russian].

    Google Scholar 

  4. J. O’Reilly, Observers for Linear Systems (Academic Press, London, 1983).

    MATH  Google Scholar 

  5. S. K. Korovin, I. S. Medvedev, and V. V. Fomichev, “Minimum Functional Observers,” DAN 404 (3), 316–320 (2005).

    MathSciNet  MATH  Google Scholar 

  6. A. Z. Asanov and D. N. Dem’yanov, “Analytical Synthesis of Functional Observers,” Izv. Vuzov. Aviats. Tekhnika, No. 4, 13–18 (2013).

    MathSciNet  MATH  Google Scholar 

  7. D. V. Balandin and M. M. Kogan, Designing Control Laws Based on Linear Matrix Inequalities (Fizmatlit, Moscow, 2007) [in Russian].

    MATH  Google Scholar 

  8. V. N. Bukov, System Embedding. Analytical Approach to the Analysis and Synthesis of Matrix Systems (Izd. Nauch. Lit. N. F. Botchkarevoi, Kaluga, 2006) [in Russian].

    Google Scholar 

  9. A. Z. Asanov and D. N. Dem’yanov, “Analytical Synthesis of Functional Observers for Systems with Signal Perturbations,” Avtometriya 50 (6), 111–119 (2014) [Optoelectron., Instrum. Data Process. 50 (6), 625–631 (2014)].

    Google Scholar 

  10. M. Marcus and H. Minc. A Survey of Matrix Theory and Matrix Inequalities, Ed. by V. V. Lidskii (Editorial URSS, Moscow, 2004; Allyn and Bacon, Boston, 1964).

  11. I. Z. Akhmetzyanov, “Certificate of State Registration of Computer Program 2015617953 RF. Matrix Canonization Program,” Rightholder FGAOU VPO KFU, No. 2015614621; Appl. 29.05.2015; Publ. 20.08.2015.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kazan Federal University, ul. Kremlevskaya 18, Kazan, 420008, Russia

    V. G. Volkov & D. N. Dem’yanov

Authors
  1. V. G. Volkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. N. Dem’yanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. N. Dem’yanov.

Additional information

Original Russian Text © V.G. Volkov, D.N. Dem’yanov, 2016, published in Avtometriya, 2016, Vol. 52, No. 4, pp. 21–29.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Volkov, V.G., Dem’yanov, D.N. Functional observer design using linear matrix inequalities. Optoelectron.Instrument.Proc. 52, 334–340 (2016). https://doi.org/10.3103/S8756699016040038

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699016040038

Keywords

Search

Navigation