Title :
On convergence of tracking differentiator and application to frequency estimation of sinusoidal signals
Author :
Bao-Zhu Guo;Zhi-Liang Zhao
Author_Institution :
Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100080, P.R. China School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050
fDate :
5/1/2011 12:00:00 AM
Abstract :
The tracking differentiator was first proposed by Jingqing Han in 1989 and the proof of convergence was presented the first time in [J.Q. Han and W. Wang, Journal of Systems Science and Mathematical Science, 14(2)(1994), 177-183]. Unfortunately, the proof there is incorrect. This problem has been open for over two decades. In this paper, we give a rigorous proof under some additional conditions. An application to online estimate the unknown frequencies for the finite sum of the sinusoidal signals is presented. The numerical simulations illustrate the effectiveness of the estimation from both linear and nonlinear tracking differentiators.
Keywords :
"Frequency estimation","Convergence","Lyapunov methods","Approximation methods","Differential equations","Estimation"
Conference_Titel :
Control Conference (ASCC), 2011 8th Asian
Print_ISBN :
978-1-61284-487-9
