851 citations · 1.1k across the 10 of their papers we have counts for
11 papers
On the existence of KKL observers with nonlinear contracting dynamics (Long Version)
Victor Pachy, Vincent Andrieu, Pauline Bernard +2
KKL (Kazantzis-Kravaris/Luenberger) observers are based on the idea of immersing a given nonlinear system into a target system that is a linear stable filter of the measured output…
Nonlinear Robust Periodic Output Regulation of Minimum Phase Systems
Daniele Astolfi, Laurent Praly, Lorenzo Marconi +1
In linear systems theory it's a well known fact that a regulator given by the cascade of an oscillatory dynamics, driven by some regulated variables, and of a stabiliser stabilisin…
On the triangular canonical form for uniformly observable controlled systems
Pauline Bernard, Laurent Praly, Vincent Andrieu +1
We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transfo…
Observers for a non-Lipschitz triangular form
Pauline Bernard, Laurent Praly, Vincent Andrieu
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…
Transverse exponential stability and applications
Vincent Andrieu, Bayu Jayawardhana, Laurent Praly
We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution…
Expressing an observer in preferred coordinates by transforming an injective immersion into a surjective diffeomorphism
Pauline Bernard, Vincent Andrieu, Laurent Praly
When designing observers for nonlinear systems, the dynamics of the given system and of the designed observer are usually not expressed in the same coordinates or even have states…