Control in Technical Systems

An indirect single-position coordinate determination method considering motion invariants under singular measurement errors

Yu. G. Bulychev

JSC Concern Radioelectronic Technologies, Moscow, Russia

Abstract: The problem of indirect single-position coordinate determination based on the smoothed measurements of bearing and the radial velocity of an object is solved considering motion invariants and singular measurement errors. Such errors are represented as an appropriate linear combination with unknown spectral coefficients in a given finite-dimensional functional space. Possible application of the developed method to different models of motion and observation is considered. Analytical relations are derived for estimating accuracy characteristics and methodological errors. A comparative evaluation of computational cost is presented.

Keywords: single-position coordinate determination, indirect method, bearing, radial velocity, invariant, first integral, unbiasedness condition, invariance condition, optimality criterion, Lagrange's multiplier method, posterior variance of estimation error.

Presented by the member of Editorial Board: O. A. Stepanov

Received: 18.05.2022
Revised: 22.03.2023
Accepted: 09.06.2023

DOI: 10.31857/S0005231023090076

 English version: Automation and Remote Control, 2023, 84:9, 983–992