Stabilization of Nonlinear Polynomial Systems Subject to System Noise and Quantization Distortion

This paper is concerned with the stability of nonlinear polynomial dynamic systems subject to system noise when transmission from sensor to controller is via the digital noiseless channel. A stabilizing technique consisting of an encoder, decoder and a controller is presented for almost sure asymptotic bounded stability of nonlinear polynomial systems subject to system noise over the digital noiseless channel. In the absence of system noise it is shown that the proposed stabilizing technique results in asymptotic stability. The satisfactory performance of the proposed technique for almost sure asymptotic bounded stability and asymptotic stability of a polynomial dynamic system over the digital noiseless channel is illustrated using computer simulations.