Constrained stabilization problems for discrete-time linear plants

Abstract. In this paper we discuss discrete-time systems which have constraints on all or part of the inputs as well as on the states of the system. We show that solvability of sta-bilization problems is closely related to two important con-cepts: right-invertibility of the constraints and the constraint invariant zeros. In the case of right-invertible constraints we give constructive methods to determine suitable controllers.