DocumentCode
3317874
Title
Error analysis for a class of numerical differentiator: application to state observation
Author
Liu, D. ; Gibaru, O. ; Perruquetti, W.
Author_Institution
Equipe Projet ALIEN, INRIA Lille-Nord Eur., Villeneuve-d´´Ascq, France
fYear
2009
fDate
15-18 Dec. 2009
Firstpage
8238
Lastpage
8243
Abstract
In this note, firstly a modified numerical differentiation scheme is presented. The obtained scheme is rooted, and uses the same algebraic approach based on operational calculus. Secondly an analysis of the error due to a corrupting noise in this estimation is conducted and some upper-bounds are given on this error. Lastly a convincing simulation example gives an estimation of the state variable of a nonlinear system where the measured output is noisy.
Keywords
differentiation; error analysis; nonlinear control systems; state estimation; error analysis; nonlinear system; numerical differentiation scheme; operational calculus; state observation; state variable estimation; Calculus; Control systems; Error analysis; Gaussian noise; Linear systems; Noise robustness; Nonlinear control systems; Nonlinear systems; Signal processing; State estimation;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location
Shanghai
ISSN
0191-2216
Print_ISBN
978-1-4244-3871-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2009.5400907
Filename
5400907
Link To Document