Accuracy estimation for determining the motion parameters of a nonlinear dynamical system by the measurement result in the presence of interfering parameters

We consider algorithms for solving the problems of determining the motion parameters of a nonlinear dynamical system from the measurement result and the accuracy of estimating these parameters in the presence of interfering factors. It is assumed that there are not only random errors in the measurements, but also a priori information about the initial state of the system, as well as interfering parameters including not exactly known parameters of the dynamic system model and the measurement system model, in particular, systematic errors in the measurements. In the problem statement, we consider that the probabilistic characteristics of these factors and measurement errors are accurately known, and they have normal distributions with given mean values and covariance matrices. The constructed algorithm is used to analyze the navigation characteristics of the “Nebosvod” system.