Title
An Exact And Uniformly Convergent Arbitrary Order Differentiator
Abstract
An arbitrary order differentiator that, in absence of noise, converges to the true derivatives of the signal after a finite time independent of the initial differentiator error is presented. The only assumption on a signal to be differentiated (n - 1)-times is that its n-th derivative is uniformly bounded by a known constant. The new differentiator is obtained by combining the HOSM differentiator with an additional part that converges uniformly with respect to the initial conditions.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160926
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
differentiator, robustness, sliding-mode control
Convergence (routing),Mathematical optimization,Control theory,Differentiator,Uniform convergence,Uniform boundedness,Robustness (computer science),Exponential stability,Mathematics,Finite time,Sliding mode control
Conference
ISSN
Citations 
PageRank 
0743-1546
4
0.64
References 
Authors
8
3
Name
Order
Citations
PageRank
Marco Tulio Angulo1778.01
Jaime A. Moreno277170.62
Leonid M. Fridman31999211.93