Observer-Based Quantized State Feedback Stabilization For Nonlinear Systems With External Disturbance

This article studies the quantized feedback stabilization problem for nonlinear control systems with external disturbance. To ensure the transmission data rate as minimal as possible, a coarse quantizer is applied, and the quantization procedure has two stages: zooming-out stage and zooming-in stage. To detect the effects of the disturbance and to utilize quantization regions as less as possible, both zooming-out stage and zooming-in stage are divided into two substages. Based on the quantization mechanism with four substages, a new control strategy is proposed. Using the proposed control strategy and the state trajectory based method, the state feedback stabilization is studied, and sufficient conditions are established to guarantee input-to-input stability of the closed-loop system. Finally, two numerical examples are presented to illustrate the derived results.