This note deals with the problem of local stabilization of linear discrete-time systems subject to control saturation.Alinear matrix inequalitie- based framework is proposed in order to compute a saturating state feedback that stabilizes the system with respect to a given set of admissible initial states and, in addition, guarantees some dynamical performances when the system operates in the zone of linear behavior (i.e., when the controls are not saturated).
IEEE transactions on automatic control. New York. vol. 46, no. 1 (2001), p. 119-125