Title
Extremum seeking for dynamic maps using Lie brackets and singular perturbations.
Abstract
We introduce a framework for the analysis of extremum seeking systems for dynamic maps based on Lie bracket approximations and singular perturbation theory. Using the introduced framework, we provide an extremum seeking regulator for a unicycle and prove its stability properties.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.05.002
Automatica
Keywords
Field
DocType
Extremum seeking,Lie bracket approximations,Singular perturbations
Mathematical analysis,Control theory,Bracket,Singular perturbation,Lie algebra,Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
83
1
0005-1098
Citations 
PageRank 
References 
9
0.65
8
Authors
4
Name
Order
Citations
PageRank
Hans-Bernd DüRr1987.28
Miroslav Krstic24987553.84
Alexander Scheinker3948.87
Christian Ebenbauer420030.31