Title
An Arbitrary-Order Differentiator Design Paradigm With Adaptive Gains
Abstract
Higher order sliding-mode differentiators have received a great deal of attention in the literature. For the case of reconstructing the first derivative, theoretical convergence conditions for the differentiator are available from which differentiator parameters may be selected. For the case of higher order derivatives, some parameter settings have been suggested for differentiators of certain order but there is no tuning algorithm available to determine convergent parameters for differentiators of arbitrary order. Whilst recognising the strong theoretical properties of sliding-mode differentiators, practitioners report difficulties in achieving wide envelope performance from a single set of differentiator parameters. This paper proposes a constructive design paradigm to generate differentiator parameters which is seen to provide a natural framework to facilitate simple online adaptation of the chosen gains. Simulation experiments as well as experimental results are presented to demonstrate the proposed approach.
Year
DOI
Venue
2018
10.1080/00207179.2018.1429671
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Arbitrary-order differentiator, sliding mode, adaptive gains
Convergence (routing),Mathematical optimization,Design paradigm,Constructive,Control theory,Differentiator,Higher order derivatives,Online adaptation,Mathematics
Journal
Volume
Issue
ISSN
91
9
0020-7179
Citations 
PageRank 
References 
8
0.66
10
Authors
2
Name
Order
Citations
PageRank
Markus Reichhartinger16113.35
sarah k spurgeon272471.21