Stabilization of nonlinear discrete‐time systems via a digital communication channel

Abstract

We deal with the stabilization problem for a class of nonlinear discrete‐time systems via a digital communication channel. We consider the case when the control input is to be transmitted via communication channels with a bit‐rate constraint. Under an appropriate growth condition on the nonlinear perturbation, we establish sufficient conditions for the global and local stabilizability of semilinear and nonlinear discrete‐time systems, respectively. A constructive method to design a feedback stabilizing controller is proposed.