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来源:  时间:2017-08-17   《打印》
On two non-asymptotic estimation methods
报告题目: On two non-asymptotic estimation methods
报告人: Dayan Liu (INSA Centre Val de Loire, France)
时间: 2017.8.15 (Tue.) 上午 10:30-11:30
地点:N514
 
摘要: For cost and technological reasons, there always exist some variables and parameters 
which cannot be measured. Moreover, the measurements usually contain noises. Sometime, 
fast estimations with convergence in finite-time are required in on-line applications. 
For these reasons, the modulating functions method introduced by Shinbrot in 1954 and 
the algebraic parametric estimation method introduced by Fliess and Sira-Ramirez in 2003 
both originally for system identification have been applied and extended in signal processing 
and automatic control, such as parameter estimation and numerical differentiation, etc. 
The two methods have the following advantages. Firstly, the obtained estimators are exactly 
given by integral formulae of the observation signal. Thus, they are algebraic and non-asymptotic. 
Fast estimation can be provided using sliding integration window with finite length. The 
knowledge of initial conditions is not needed and the derivatives of noisy signals don't need 
to be calculated. Moreover, thanks to the integrals in the formulae, they are robust with 
respect to corrupting noises without the need of knowing in priori their statistical properties. 
Recently, these methods have been extended to fractional order systems. In this talk, the 
ideas of these two methods will be explained by giving simples examples. Moreover, the 
applications to parameter estimation and numerical differentiation will be presented.
 
报告人简介:Dayan LIU received the B.S. and M.S. degrees from University of Lille 1, France, 
in 2005 and 2007, respectively. He earned his Ph.D. degree in Applied Mathematics with great 
honors from University of Lille 1 & INRIA Lille-Nord Europe in October 2011. He was a 
postdoctoral fellow in Arts et Métiers ParisTech during October-December 2011. 
From January 2012 to November 2013, he was a postdoctoral fellow at King Abdullah University 
of Science and Technology (KAUST) in Saudi Arabia. Currently, he is a tenured Assistant 
Professor in INSA (French National Institute of Applied Sciences) Centre Val de Loire, where he 
belongs to Control Team in PRISME Laboratory. Dr. Liu’s main research interests concern with 
estimation and identification for integer order and fractional order systems, such as numerical 
differentiation and parameter estimation. Until now, he has published more than 40 papers in 
international journals and conferences such as IEEE Transactions on Automatic Control, 
Automatica, SIAM Journal on Scientific Computing and Systems & Control Letters, etc. Thanks 
to his Ph.D. work, he earned the Chinese Government award for outstanding self-financed 
students abroad in 2012. Moreover, his Ph.D. student Xing Wei also earned this award in 2017.
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