Title
Three counterexamples to recent results on finite- and fixed-time convergent controllers and observers
Abstract
Recent results regarding the stability properties of an extended super-twisting controller, the convergence of smooth finite- and fixed-time convergent differentiators, and an upper convergence time bound for a homogeneous state-feedback control law are revisited. Counterexamples show that three such results are incorrect as stated. New formal results obtained in course of the examples’ construction and their discussion provide valuable insight into the considered controllers and observers.
Year
DOI
Venue
2020
10.1016/j.automatica.2019.108678
Automatica
Keywords
Field
DocType
Variable-structure systems,Sliding-mode control,Differentiators,State feedback
Fixed time,Convergence (routing),Applied mathematics,Control theory,Homogeneous,Differentiator,Control theory,Counterexample,Mathematics
Journal
Volume
Issue
ISSN
112
1
0005-1098
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Richard Seeber1249.22