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On convergence of tracking differentiator
Guo, Bao-Zhu1,2,3,4; Zhao, Zhi-Liang1
AbstractThe 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.
Keywordtracking differentiator stability
Funding ProjectNational Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000291462900004
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Document Type期刊论文
Corresponding AuthorZhao, Zhi-Liang
Affiliation1.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
Recommended Citation
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.
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