Passification based synchronization of cascade Lurie systems with quantized signals

Abstract

The problem of synchronization of two nonlinear systems with functional uncertainty, disturbance and a discrete controller is solved. It was shown that in use controller with dynamic quantizer the system solution is asymptotically stable. Estimates of the errors caused by bounded quantizer are given. The results obtained in this article have a real practical application, which is confirmed by the example with the model of motion of vehicles.