具有量化误差的单输入双线性采样系统的稳定性

华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (1): 52-56.

具有量化误差的单输入双线性采样系统的稳定性

余宏旺, 汪志鸣

华东师范大学数学系, 上海 200062

收稿日期:2004-06-11 修回日期:2004-10-27 出版日期:2006-01-25 发布日期:2006-01-25
通讯作者: 余宏旺

Stability of Single-Input Bilinear Sampled-data Systems with Quantization(Chinese)

YU Hong-wang, WANG Zhi-ming

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2004-06-11 Revised:2004-10-27 Online:2006-01-25 Published:2006-01-25
Contact: YU Hong-wang

摘要/Abstract

摘要： 研究一类具有量化误差的单输入双线性采样系统的稳定性问题，通过小反馈控制器的设计使得不含量化误差的双线性采样系统全局一致指数稳定，并在此基础上讨论量化误差对双线性采样系统稳定性的影响，给出在量化误差受限的情况下，采样系统仍保持原有的稳定性.

关键词: 采样系统, 量化误差, Schur 稳定, 全局指数稳定, 采样系统, 量化误差, Schur 稳定, 全局指数稳定

Abstract: The stability of a class of single-input bilinear sampled-data systems with quantization is investigated in this paper. The systems are uniformly globally exponentially stable by proposing a small feedback controller. Based on that，the effect of quantization on the bilinear sampled-data systems are discussed. And under the constrained quantization level， the same stability property of the systems is still concluded.

Key words: quantization, Schur stable, globally exponentiallystable, sampled-data system, quantization, Schur stable, globally exponentiallystable

中图分类号:

O231.2

余宏旺;汪志鸣. 具有量化误差的单输入双线性采样系统的稳定性[J]. 华东师范大学学报(自然科学版), 2006, 2006(1): 52-56.

YU Hong-wang;WANG Zhi-ming. Stability of Single-Input Bilinear Sampled-data Systems with Quantization(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(1): 52-56.