Ensuring the Quality Indicators of Systems with Modal Control under Conditions of Interval Parameter Uncertainty

For a linear stationary system with one input and linear inertialess state feedback, a development of a solution to the problem of robust assignment of poles based on the Rouche theorem is proposed, in which limited parametric perturbations do not take these poles outside a certain simply connected region. On the example of a second-order system, an analytical study of the dependence of the shape of the designated area and the corresponding worst values of the root quality indicators was carried out.