Title
Observers for a non-Lipschitz triangular form.
Abstract
We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some Hölder-like condition. Also, for the case when this Hölder condition is not verified, we propose a novel cascaded high gain observer. Under slightly more restrictive assumptions, we prove the convergence of a homogeneous observer and of its cascaded version with the help of an explicit Lyapunov function.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.04.054
Automatica
Keywords
Field
DocType
Triangular observable form,High-gain observer,Finite-time observers,Homogeneous observers,Exact differentiators,Explicit Lyapunov functions
Convergence (routing),State observer,Lyapunov function,High gain observer,Control theory,Dynamical systems theory,Hölder condition,Lipschitz continuity,Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
82
1
0005-1098
Citations 
PageRank 
References 
3
0.51
5
Authors
3
Name
Order
Citations
PageRank
Pauline Bernard1233.96
Praly, L.21835364.39
Vincent Andrieu332832.83