Skip to main content
Log in

Guaranteed Dynamic-System State Estimation by the Method of Bidirectional Dynamic Programming

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The problem of guaranteed estimation (smoothing, filtration, prediction) of a dynamic process observed on a finite discrete time interval is solved, based on generalization of the dynamic programming procedure for the case with sequential optmization in direct and inverse time.

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. F. C. Schweppe, “Recursive state estimation: Unknown but bounded errors and system input,” IEEE Trans. Autom. Control, 13, 22–28 (1968).

    Google Scholar 

  2. D. P. Bertzekas andI. B. Rhodes, “Recursive state estimation for a set-membership description of uncertainty,” IEEE Trans. Autom. Control, 16, 117–124 (1971).

    Google Scholar 

  3. A. Kurzhanski andI. Valyi, Ellipsoidal Calculus for Estimation and Control, Birkhauser, Boston (1997).

    Google Scholar 

  4. F. L. Chernous'ko, Estimation of the Phase State of Dynamic Systems (Method of Ellipsoids) [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  5. V. M. Kuntsevich andM. M. Lychak, Synthesis of Optimal and Adaptive Control Systems: The Game Approach [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  6. L. Chisel,A. Garulli, andG. Zappa, “Recursive state bounding by parallelotopes,” Automatica, 32, 1049–1056 (1996).

    Google Scholar 

  7. G. M. Bakan, “Optimization approach to a guaranteed state estimation of dynamic systems,” Kibern. Sist. Anal., No. 5, 104–112 (2000).

  8. G. M. Bakan, “Sequential decomposition in problems of dynamic process optimization with models in inclusions,” Probl. Upravl. Inf., No. 6, 60–73 (1999).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bakan, G.M. Guaranteed Dynamic-System State Estimation by the Method of Bidirectional Dynamic Programming. Cybernetics and Systems Analysis 37, 63–74 (2001). https://doi.org/10.1023/A:1016668117171

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016668117171

Navigation