Input reconstruction problem for a nonlinear system of differential equations: the case of incomplete measurements

Аннотация

The problem of reconstructing an unknown input in a system of ordinary differential equations of a special kind is investigated by means of the approach of the theory of dynamic inversion. The input action should be reconstructed synchronously with the process of incomplete discrete measuring of 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 study the inverse problem for a partially observed system with
a nonlinear with respect to input equation describing the dynamics of the unmeasured coordinate.