Stability Of Nonlinear Uncertain Lipschitz Systems Over The Digital Noiseless Channel

Document Type: Article

Author

Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran

Abstract

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

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Main Subjects