Synthesis of Adaptive Algorithms for Estimating the Parameters of Angular Position Based on the Combined Maximum Principle

  • Andrey KostoglotovEmail author
  • Sergey Lazarenko
  • Anton Penkov
  • Igor Kirillov
  • Olga Manaenkova
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 874)


The problem of synthesis of adaptive dynamic filter is presented in the form of problem of quasi-optimal control. The solution is obtained based on the theorem of the maximum of the function of the generalized power and analysis of the Lagrangian along characteristic trajectories in phase space. This allows to construct a model of controlled motion that can be represented in a quasilinear form. The obtained equation of the adaptive filter of the dynamic estimation of the motion parameters differs from the known equations by its feedback structure. On the basis of mathematical modeling it is shown that estimations of the proposed filter provide an increase in accuracy with less computational costs.


Adaptation The combined maximum principle Estimation The Hamilton-Ostrogradsky principle 



The paper has been accomplished with the support of Russian Federal Property Fund grants No. 18-01-00385 A, № 18-08-01494 A and grant from the Rostov State Transport University.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Andrey Kostoglotov
    • 1
    Email author
  • Sergey Lazarenko
    • 1
  • Anton Penkov
    • 1
  • Igor Kirillov
    • 1
  • Olga Manaenkova
    • 1
  1. 1.Rostov State Transport UniversityRostov-on-DonRussian Federation

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