Stabilization of nonlinear sampled-data systems with input update delay

Abstract

Stabilization of nonlinear sampled-data systems with input update delay is considered. First the existence of state feedback semiglobally practically uniformly asymptotic stabilizing controllers is assumed for nonlinear sampled-data systems without input update delay. Then input update delay is introduced and the relationship between the magnitude of input update delay and degeneration of controllers is discussed. A numerical example is also given to illustrate the theory.