DocumentCode
592457
Title
The differentiation error of noisy signals using the Generalized Super-Twisting differentiator
Author
Angulo, M.T. ; Moreno, Jaime A. ; Fridman, L.
Author_Institution
Fac. de Ing., Univ. Nac. Autonoma de Mexico (UNAM), Mexico City, Mexico
fYear
2012
fDate
10-13 Dec. 2012
Firstpage
7383
Lastpage
7388
Abstract
A method to compute the differentiation error in presence of bounded measurement noise for the family of Generalized Super-Twisting differentiators is presented. The proposed method allows choosing the optimal gain of each differentiator in the family providing the smallest ultimate bound of the differentiation error. In particular, an heuristic formula for the optimal gain of the pure Super-Twisting differentiator is presented.
Keywords
control system analysis; differentiating circuits; variable structure systems; differentiation error; generalized super twisting differentiator; noisy signals; optimal gain; Equations; Noise; Noise measurement; Optimization; Robustness; Trajectory; Upper bound; differentiator; noise; optimal; sliding-mode;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location
Maui, HI
ISSN
0743-1546
Print_ISBN
978-1-4673-2065-8
Electronic_ISBN
0743-1546
Type
conf
DOI
10.1109/CDC.2012.6426662
Filename
6426662
Link To Document