Cybernetics and Systems Analysis

, Volume 55, Issue 1, pp 81–89 | Cite as

Development of the Robust Algorithm of Guaranteed Ellipsoidal Estimation and Its Application for Orientation of the Artificial Earth Satellite

  • N. D. PankratovaEmail author
  • O. V. Sholokhov


The method for estimation of linear multidimensional dynamic control systems perturbed by only one of the phase coordinates is developed in the paper. Only one phase coordinate without perturbation is available for measurement in the system. A robust algorithm for ellipsoidal estimation is developed, which minimizes the trace of the matrix of ellipsoid that approximates admissible set of point estimates. Application of the method and efficiency of the algorithm are shown on the example of estimating the heading angle of an artificial Earth satellite during its orbital motion. The onboard local vertical reference and angular velocity sensors are used for the estimation.


robust algorithm of guaranteed ellipsoidal estimation orientation of artificial Earth satellite angular rate gyroscope infrared local vertical reference 


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute for Applied Systems AnalysisNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”KyivUkraine

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