Stability Of Nonlinear Uncertain Lipschitz Systems Over The Digital Noiseless Channel

Abstract

This paper is concerned with the stability of nonlinear Lipschitz systems subject to bounded processand measurement noises when transmission from sensor to controller is subject to distortion due toquantization. A stabilizing technique and a sufficient condition relating transmission rate to Lipschitzcoefficients are presented for almost sure asymptotic bounded stability of nonlinear uncertain Lipschitzsystems. In the absence of process and measurement noises, it is shown that the proposed stabilizingtechnique results in almost sure asymptotic stability. Computer simulations illustrate the satisfactoryperformance of the proposed technique for almost sure asymptotic bounded stability and asymptoticstability.