Title
Adaptation Of Levant'S Differentiator Based On Barrier Function
Abstract
An algorithm for adaptation of Levant's differentiator (LD) gains is designed for the case when the upper bound of second derivative of base signal exists but it is unknown. The barrier function is employed in this algorithm in order to adapt both gains of LD. Thanks to its feature, from the initial time moment it can be guaranteed that the error of estimation of signal belongs to a predefined vicinity of zero. Moreover, the proposed barrier algorithm can ensure the convergence of LD to some vicinity of the first derivative. This barrier adaptation enjoys two main advantages: it ensures a fast convergence and could indicate that LD does not converge in the case of noisy signal.
Year
DOI
Venue
2018
10.1080/00207179.2017.1406149
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Levant's differentiator, sliding-mode control, adaptive control
Convergence (routing),Second derivative,Differentiator,Upper and lower bounds,Control theory,Derivative,Barrier function,Adaptive control,Mathematics,Sliding mode control
Journal
Volume
Issue
ISSN
91
9
0020-7179
Citations 
PageRank 
References 
2
0.39
8
Authors
5
Name
Order
Citations
PageRank
Hussein Obeid1172.80
Leonid M. Fridman21999211.93
Salah Laghrouche321523.02
Mohamed Harmouche41339.86
Mohammad Ali Golkani551.89