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Observer-based quantized state feedback stabilization for nonlinear systems with external disturbance
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DOI：10.1002/rnc.5433.png)
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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.
Keyword:
external disturbance
input‐ to‐ state stability
nonlinear systems
quantized control
state feedback stabilization
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