Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems

王银河; 范永清; 王青云; 章云

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理论物理通讯 ›› 2012, Vol. 57 ›› Issue (05) : 808-816.

Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems

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Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems

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摘要

We investigate asymptotical stabilization for a class of chaotic systems by means of quantization measurements of states. The quantizer adopted in this paper takes finite many values. In particular, one zoomer is placed at the input terminal of the quantizer, and another zoomer is located at the output terminal of the quantizer. The zoomers possess a common adjustable time-varying parameter. By using the adaptive laws for the time-varying parameter and estimating boundary error of values of quantization, the stabilization feedback controller with the quantized state measurements is proposed for a class of chaotic systems. Finally, some numerical examples are given to demonstrate the validity of the proposed methods.

Abstract

导出引用

王银河, 范永清, 王青云, 等. Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems[J]. 理论物理通讯, 2012, 57(05): 808-816

WANG Yin-He, FAN Yong-Qing, WANG Qing-Yun, et al. Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems[J]. Communications in Theoretical Physics, 2012, 57(05): 808-816

中图分类号： 05.45.-a

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基金

Supported by the National Science Foundation of China under Grant No. 11172017, and the Guangdong Natural Science Foundation under Grant No. 8151009001000061 and Natural Science Joint Research Program Foundation of Guangdong Province under Grant No. 8351009001000002