On a control algorithm for a linear system with measurements of a part of coordinates of the phase vector

We consider a feedback control problem for a system of ordinary differential equations in the case when only a part of coordinates of the phase vector are measured and propose a solution algorithm that is stable to perturbations. The algorithm is based on the combination of the theories of dynamical inversion and guaranteed control. It consists of two blocks: a block for the dynamical reconstruction of unmeasured coordinates and a control block.