The synthesis of the algorithms for state estimation and the parameters of measurement converters based on the combined maximum principle in the problems of dynamic error correction

Abstract

The proposed algorithms for state estimation and the parameters of measurement converters are based on the statement that the Lagrange equations of the second kind describing these dynamics are valid. This allows based of the combined of the maximum principle to obtain the structure of corrective feedback in a closed form, which provides convergence of the estimates of the accelerometer parameters to the actual values. The theoretical conclusions are confirmed by the results of mathematical simulation. It is shown that the developed algorithm provides saving of computational cost in comparison with the Kalman filter.