Robast stabilisation and damping of external perturbations in systems with controlled and observed outputs

Abstract

Methods for construction of control laws providing a robust stability and specified evaluation of the weighted damping level of input signals and initial perturbations are proposed for a class of systems with controllable and observable outputs. Realization of the methods using the static state feedback or the full order dynamic regulators reduces to solving the systems of linear matrix inequalities. The results are illustrated by an example for a stabilization system of a linear damped oscillator.