On Enlarging the set of Attraction for Discrete-Time Linear Systems with Constrained State and Control

Abstract The paper is devoted to the stabilization of linear systems having restricted states and controls. The determination of a 'larger ' region of attraction for these systems is addressed. This region is described by an ellipsoid for which the volume is maximized. Necessary and sufcient LMI condition is given for the derivation of state feedback controllers driving the system asymptotically to the origin without violating the constraints for all states in the attraction region. The approach is illustrated by an example to show the application of our method