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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426662
