activity
20192024
most citedLuenberger observers for infinite-dimensional systems, Back and Forth Nudging and application to a crystallization process

16 citations · 34 across the 11 of their papers we have counts for

collaborators

17 papers

math.OC2024

Output feedback stabilisation of bilinear systems via control templates

Ludovic Sacchelli, Lucas Brivadis, Ulysse Serres +1

We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (rec…

math.OC2024★ 1 cited

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…

math.OC2024

Exponential stabilizability and observability at the target imply semiglobal exponential stabilizability by templated output feedback

Vincent Andrieu, Lucas Brivadis, Jean-Paul Gauthier +2

For nonlinear analytic control systems, we introduce a new paradigm for dynamic output feedback stabilization. We propose to periodically sample the usual observer based control la…

math.OC2023

On forwarding techniques for stabilization and set-point output regulation of semilinear infinite-dimensional systems

Nicolas Vanspranghe, Lucas Brivadis, Lassi Paunonen

A stabilizer based on the forwarding technique is proposed for semilinear infinite-dimensional systems in cascade form. Sufficient conditions for local exponentially stability and…

math.OC2022

Output feedback stabilization of non-uniformly observable systems by means of a switched Kalman-like observer

Lucas Brivadis, Ludovic Sacchelli

We propose to explore switching methods in order to recover some properties of Kalmanlike observers for output feedback stabilization of state-affine systems that may present obser…

math.OC2022

Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups

Nicolas Vanspranghe, Lucas Brivadis

This paper deals with the problem of robust output regulation of systems governed by nonlinear contraction semigroups. After adding an integral action to the system, we design a fe…

math.OC2021

Approximate observability and back and forth observer of a PDE model of crystallisation process

Lucas Brivadis, Ludovic Sacchelli

In this paper, we are interested in the estimation of Particle Size Distributions (PSDs) during a batch crystallization process in which particles of two different shapes coexist a…

math.OC2020★ 7 cited

New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles

Lucas Brivadis, Ludovic Sacchelli

In this paper, we express the Chord Length Distribution (CLD) measure associated to a given Particle Size Distribution (PSD) when particles are modeled as suspended spheroids in a…

math.OC2020

New perspectives on output feedback stabilization at an unobservable target

Lucas Brivadis, Jean-Paul Gauthier, Ludovic Sacchelli +1

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the pr…

eess.SY2020

Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity

Swann Marx, Lucas Brivadis, Daniele Astolfi

We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional tra…

math.AP2020

Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE

Swann Marx, Lucas Brivadis, Daniele Astolfi

This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE,…

math.OC2020★ 10 cited

New dynamical observer for a batch crystallization process based on solute concentration

Vincent Andrieu, Emilie Gagnière, Elodie Chabanon +4

In this paper a new observer is introduced to estimate the Crystal Size Distribution (CSD) only from the measurements of the solute concentration, temperature and a model of the gr…

math.OC2020

From local to global asymptotic stabilizability for weakly contractive control systems

Vincent Andrieu, Lucas Brivadis, Jean-Paul Gauthier +2

A nonlinear control system is said to be weakly contractive in the control if the flow that it generates is non-expanding (in the sense that the distance between two trajectories i…

math.OC2020★ 16 cited

Luenberger observers for infinite-dimensional systems, Back and Forth Nudging and application to a crystallization process

Lucas Brivadis, Vincent Andrieu, Ulysse Serres +1

This paper deals with the observer design problem for time-varying linear infinite-dimensional systems. We address both the problem of online estimation of the state of the system…

math.OC2020

Luenberger observers for discrete-time nonlinear systems

Lucas Brivadis, Vincent Andrieu, Ulysse Serres

In this paper, we consider the problem of designing an asymptotic observer for a nonlin-ear dynamical system in discrete-time following Luenberger's original idea. This approach is…

math.OC2019

Dynamic Output Feedback Stabilization of Non-uniformly Observable Dissipative Systems

Ludovic Sacchelli, Lucas Brivadis, Vincent Andrieu +2

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from…

math.OC2019

Avoiding observability singularities in output feedback bilinear systems

Lucas Brivadis, Jean-Paul Gauthier, Ludovic Sacchelli +1

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of outpu…