Tracking the Solution of a Nonlinear System with Partly Measured Coordinates of the State Vector

The problem of tracking a solution of a nonlinear system of ordinary differential equations is considered in the case of inaccurate measurement of some of the phase coordinates. A noise-immune solution algorithm for this system is proposed that is based on a combination of constructs from dynamic inversion and guaranteed control theories. The algorithm consists of two blocks: a block of dynamical reconstruction of unmeasured coordinates and a feedback control block.