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Observer‐based quantized state feedback stabilization for nonlinear systems with external disturbance
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2021-02-18 , DOI: 10.1002/rnc.5433
Wei Ren 1 , Junlin Xiong 1
Affiliation  

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.

中文翻译:

具有外部干扰的非线性系统基于观测器的量化状态反馈镇定

本文研究了带有外部干扰的非线性控制系统的量化反馈镇定问题。为了确保传输数据速率尽可能小,应用了一个粗糙的量化器,量化过程分为两个阶段:缩小阶段和放大阶段。为了检测干扰的影响并尽可能少地利用量化区域,将放大阶段和放大阶段都分为两个子阶段。基于具有四个子阶段的量化机制,提出了一种新的控制策略。利用提出的控制策略和基于状态轨迹的方法,研究了状态反馈的镇定,并建立了充分的条件来保证闭环系统的输入到输入稳定性。最后,
更新日期:2021-04-08
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