Abstract
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.
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