Stabilization of nonlinear systems with coarse quantization

This paper addresses feedback stabilization problem for nonlinear dynamic systems with quantized measurements and delays in the presence of external disturbances. In the context, the quantizer has two parameters to adjust the center and the range. The applied controller switches between zooming out phase and zooming in phase repeatedly. Both two phases are divided into two modes. First, based on the trajectory and mechanism of the whole closed-loop system, both the state feedback stabilization and the output feedback stabilization are studied and the results on ISS property are given. Further, we consider the cases with delays, and achieve stabilizable results.