Skip to main content
SpringerLink
Log in

Adaptive guaranteed estimation based on information provided by a set of “Relative” objects

  • Control Sciences
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Estimation algorithms for the state of an object based on “relative” objects information are proposed, under conditions of disturbances affecting the object and errors caused by incomplete and inaccurate measurements of the object’s vector. Information on disturbances and measurement errors is considered known up to some given sets. If the path of the object’s motion is changed, it is suggested to use information provided by a group of similar objects for identifying model of the object’s further motion.

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. Farina, A. and Studer, F., Tsifrovaya obrabotka radiolokatsionnoi informatsii. Soprovozhdenie tselei (Digital Processing of Radar Information. Target Tracking), Moscow: Radio i Svyaz’, 1993.

    Google Scholar 

  2. Antonov, M.O., Afanas’eva, K.E., Koblov, A.I., and Shiryaev, V.I., Estimation and Control Algorithms of an Unmanned Vehicle during the Landing Phase, J. Comp. Syst. Sci. Int., 2004, vol. 44, no. 2, pp. 319–326.

    Google Scholar 

  3. Bar-Sholom, Y., Tracking Methods in a Multitarget Environment, IEEE Trans. Automatic Control, 1978, vol. 23, no. 4, pp. 618–626.

    Article  Google Scholar 

  4. Afanas’eva, K.E. and Shiryaev, V.I., State Identification and Regional Market Forecasting, Probl. Upravlen., 2007, no. 3, pp. 63–65.

  5. Bassville, M. and Benveniste, A., Detection of Abrupt Changes in Signals and Dynamical Systems, New York: Springer, 1986. Translated under the title Obnaruzhenie izmeneniya svoistv signalov i dinamicheskikh sistem, Moscow: Mir, 1989.

    Google Scholar 

  6. Kalman, R.E., Identification of Noisy Systems, Russ. Math. Surv., 1985, vol. 40, no. 4, pp. 27–41.

    Article  MathSciNet  Google Scholar 

  7. Gol’ts, G.A., An Experience of High-Precision Modeling of Social and Economic Processes Using Statistical Information of Many Types, Ekonom. Mat. Metody, 2008, vol. 41, no. 1, pp. 24–25.

    Google Scholar 

  8. Kurzhanskii, A.B., Upravlenie i nablyudenie v usloviyakh neopredelennosti (Control and Observation in Uncertainty Conditions), Moscow: Nauka, 1977.

    MATH  Google Scholar 

  9. Kats, I.Ya. and Kurzhanskii, A.B., Minimax Multistep Filtering in Statistically Uncertain Situations, Autom. Remote Control, 1978, no. 11, pp. 1643–1650.

  10. Shiryaev, V.I., Control Synthesis for Linear Systems under Incomplete Information, Izv. Ross. Akad. Nauk, Tekhn. Kibern., 1994, no. 3, pp. 229–237.

  11. Bek, V.V., Vishnyakov, Yu.S., and Makhlin, A.R., Integrirovannye sistemy terminal’nogo upravleniya (Integrated Systems of Terminal Control), Moscow: Nauka, 1989.

    MATH  Google Scholar 

  12. Prangishvili, I.V., Systems Identification and Control Problems: On theWay to Modern System Methodologies, Probl. Upravl., 2004, no. 4, pp. 2–15.

  13. Bass, F., A New Product Growth Model for Consumer Durables, Manag. Sci., 1969, no. 15, pp. 215–227.

Download references

Author information

Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    K. E. Afanas’eva & V. I. Shiryaev

Authors
  1. K. E. Afanas’eva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Shiryaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © K.E. Afanas’eva, V.I. Shiryaev, 2009, published in Problemy Upravleniya, 2009, No. 1, pp. 22–26.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Afanas’eva, K.E., Shiryaev, V.I. Adaptive guaranteed estimation based on information provided by a set of “Relative” objects. Autom Remote Control 71, 894–901 (2010). https://doi.org/10.1134/S0005117910050176

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117910050176

Keywords

Search

Navigation