On the design of linearizing controller for nonlinear discrete systems

In this paper we present a new contribution to the control design of nonlinear discrete systems. A feedback control law is characterized such that the controlled system is equivalent via a nonlinear state change to an arbitrary linear discrete system. The proposed approach is based on the development of the nonlinear analytic functions defining the considered system, the control law and the state transformation in polynomial forms using the powerful Kronecker product which allows important algebraic manipulations