On convergence of tracking differentiator

被引：252
作者：
Guo, Bao-Zhu [1 ,2 ,3 ,4 ]
Zhao, Zhi-Liang [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
[2] Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[3] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, Johannesburg, South Africa
[4] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2011年 / 84卷 / 04期
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
tracking differentiator; stability; FREQUENCY;
D O I：
10.1080/00207179.2011.569954
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The tracking differentiator was first proposed by Han in 1989 and the proof of convergence was presented the first time in Han and Wang (Han, J.Q., and Wang, W. (1994), 'Nonlinear Tracking-differentiator', Journal of Systems Science and Mathematical Science, 14, 177-183 (in Chinese)). Unfortunately, the proof there is incomplete. This problem has been open for over two decades. In this article, we give a rigorous proof under some additional conditions. An application for online estimation of the unknown frequencies for the finite sum of the sinusoidal signals is presented. The numerical simulations illustrate the effectiveness of the estimation for both linear and nonlinear tracking differentiators.
引用
收藏
页码：693 / 701
页数：9
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