On a problem of dynamic disturbance reconstruction in a nonlinear system of differential equations

The problem of reconstructing an unknown disturbance in a system of ordinary differential equations of a special kind is investigated on the basis of the approach of the theory of dynamic inversion. A statement is considered in which the disturbance is reconstructed synchronously with the process from incomplete discrete information on a part of coordinates of the phase trajectory. A finite-step software-oriented solution algorithm based on the method of auxiliary closed-loop models is proposed, and its error is estimated. The novelty of the paper is that we consider the inverse problem for a partially observed system with a nonlinear with respect to disturbance equation describing the dynamics of the unmeasured coordinate.