On convergence of tracking differentiator

doi:10.1080/00207179.2011.569954

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	On convergence of tracking differentiator
	Guo, Bao-Zhu1,2,3,4 ; Zhao, Zhi-Liang 1
	2011
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	84 期号:4 页码:693-701
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.
关键词	tracking differentiator stability
DOI	10.1080/00207179.2011.569954
语种	英语
资助项目	National Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000291462900004
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12363
专题	系统科学研究所
通讯作者	Zhao, Zhi-Liang
作者单位	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 Wits, Johannesburg, South Africa 4.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Zhao, Zhi-Liang. On convergence of tracking differentiator[J]. INTERNATIONAL JOURNAL OF CONTROL,2011,84(4):693-701.
APA	Guo, Bao-Zhu,&Zhao, Zhi-Liang.(2011).On convergence of tracking differentiator.INTERNATIONAL JOURNAL OF CONTROL,84(4),693-701.
MLA	Guo, Bao-Zhu,et al."On convergence of tracking differentiator".INTERNATIONAL JOURNAL OF CONTROL 84.4(2011):693-701.