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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400907
