Effective Solution of the Problem of Electromagnetic Positioning Based on Two-Axial Radiator

Abstract

We solve the problem of electromagnetic positioning on the basis of two magnetic dipoles with the same center. We construct a navigation and orientation algorithm for a remote object. Bibliography: 10 titles.At present, one of the most popular methods for creating magnetic fields to position a remote object is the method based on three dipoles with coincident centers (a three-axis radiator). Heuristic algorithms of this method can be found in [1]-[4] for a system of nine equations with six unknowns was considered. In the cited works, the least squares method was not used, which allows us to hope to improve an accuracy for problems with the same input data if the least squares method is applied. The algorithm based on a three-axis radiator and the least squares method was proposed in [5] and developed in [6,7].Another approach [8] requires such an excessive number of electromagnetic field generators that the navigation problem is reduced to the usual measurement range problem [9].The above-mentioned works motivated to construct an algorithm of positioning a minimal configuration on the basis of two dipoles (a two-axis radiator) via the solution to the minimal system of size 6×6, which is done in the present paper. In fact, we propose a new electromagnetic positioning method on the basis of two magnetic dipoles with coincident centers. This method is provided by an original finite algorithm. The main goal of the proposed method and algorithm is to cover more possible configurations of new electromagnetic positioning systems.As known, for any navigation algorithm the input data can be incorrect. Therefore, the data should be carefully verified since a decision-making mistake can cause catastrophic consequences.