Some robust global stabilization for linear systems with saturating controls

This paper addresses the problem of the global stabilization of some linear systems with constrained controls, subject to some disturbances, by means of a saturated control law. The perturbations are assumed a priori unknown but belonging to some domain. Firstly, for a fixed control law, the domain of admissible perturbations has to be determined in order to guarantee the global stability of the closed-loop system. Next, for a fixed domain of admissible perturbations the control law has to be determined. Further, from considered perturbations, both the conditions which allow to guarantee the global stabilization of the closed-loop system with eigenvalues assignment in a specified region are studied.