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Aerospace Instrument-Making

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ADAPTIVE NONLINEAR KALMAN FILTER ON THE BASIS OF THE IRREGULAR PRECISE MEASUREMENTS
S.V. Sokolov, М.V. Polyakova

The possibility of correction of the current estimates of state variables of a nonlinear object for the precise measurements formed with some arbitrariest time frame and also possibility of adaptation of the algorithm of estimation on the received precise measurements which will allow on time frames between them signifi cantly to increase accuracy of estimation is shown. The analytical solution of a problem of adaptive discrete nonlinear filtration using the irregular precise measurements is received. The possibility of the irregular precise measurements allows to specify filter parameters (an intensifi cation coefficient and coeffi cients of its adaptation) providing a zero error of estimation in a step of their emergence. Similar reorganization of parameters of an algorithm of estimation sharply increases its convergence that is illustrated by the corresponding example. The comparison of levels of the errors of estimation provided with algorithms traditional and offered adaptive filtration, showing apparent advantages of the last is carried out.
Key words: the irregular precise measurements, complexed measuring systems, adaptive nonlinear (generalized) Kalman filter, intensifi cation coefficient, adaptation coefficient.

DOI: 10.25791/aviakosmos.11.2018.257

Contacts: Е-mail: s.v.s.888@yandex.ru, E-mail: poliakova.marianna@yandex.ru

Pp. 10-17.

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