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Method of synthesis of algorithms of dynamic estimation of perturbed measurement processes using the combined maximum principle

DOI 10.18127/j20700814-201810-05

Keywords:

A.A. Kostoglotov - Dr.Sc.(Eng.), Professor, Head of Department «Сommunication on Railway Transport», Rostov State Transport University
E-mail: kostoglotov@me.com
S.V. Lazarenko - Ph.D.(Eng.), Dr.Sc.Candidate, Don State Technical University (Rostov-on-Don)
E-mail: lazarenkosv@icloud.com
D.S. Andrashitov - Ph.D.(Eng.), Associate Professor, Department of Mathematics and Computer, Moscow University named after S.U. Vitte
E-mail: dima-andrahitov@rambler.ru
I.V. Pugachev - Post-graduate Student, Don State Technical University (Rostov-on-Don)
E-mail: bakut_8536@.mail.ru


Measuring processes are considered, the perturbations of which are caused by missing data. The use of the combined maximum principle provides the construction of a quasi-deterministic structural-adaptive mathematical model, which determines the procedure for the synthesis of dynamic evaluation algorithms. The study of a new algorithm for estimating the parameters of measuring processes on the example of the bearing measurement problem. Mathematical modeling shows that its use in comparison with the «alpha-beta» filter requires less computational cost and allows to reduce the average relative error in the evaluation of perturbed measuring processes. The gain increases exactly as the number of passes increases, which is achieved through the use of a dynamic motion model in the synthesis procedure, built on the basis of using the combined maximum principle.

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May 29, 2020

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