Control@Lyon: a day around hyperbolic PDE systems

Jeudi 24 Mai, Jean Auriol et Amaury Hayat vont venir pour présenter leurs travaux de recherche qui concernent (pour parti) le contrôle d’équations hyperboliques.
Sur cette journée du 24 Mai, nous allons en profiter pour faire une journée Control@Lyon autour de cette thématique.

La journée commencera à 11h00 par une présentation d’Alexandre Terrand-Jeanne. Les deux invités donneront alors une présentation dans l’après midi.
Plus d’informations sur Jean et Amaury sur leur page web:

11h00 Alexandre Terrand-Jeanne, (LAGEP, Lyon).

Title : Regulation of linear PDE’s by P-I controller using a Lyapunov approach inspired by forwarding methods. Theory and application to the drilling case

Abstract : Most of the existing results for the regulation of PDE’s are based on semi-group and spectral theory. However, these results impose bounds on the control and the measurement operators. For instance, the boundary regulation by boundary control of hyperbolic PDE can not be addressed. In order to deals with more general systems, we introduce a novel Lyapunov functionnal inspired by nonlinear forwarding technics. Our approach is then illustrated in the case of a drilling system.

13h30 Jean Auriol, ENSMP, Paris

Title : Delay-robust stabilization of first-order linear hyperbolic PDEs.

Abstract: In this talk we solve the problem of delay-robust stabilization for systems composed of two linear first order hyperbolic equations. More precisely, one must go back to the classical trade-off between convergence rate and delay-robustness: we prove that, for systems with strong reflections, canceling the reflection at the actuated boundary will yield zero delay-robustness. The proof is based on the equivalence between the considered class of PDEs and neutral-differential equations with distributed delays. This equivalence is obtained using the backstepping approach as an analysis tool. Finally, some extensions for the robust stabilization in presence of delays, but also uncertainties on the parameters and disturbances are proposed.

14h30 Amaury Hayat, UPMC Paris

Title : Stabilization of 1-D nonlinear hyperbolic systems with boundary controls, and application to Burgers and Saint-Venant equations

Abstract: In this talk, we will review several methods to stabilize such systems with very simple controls at the boundaries, based on a Lyapunov approach. In particular, we will show that the general Saint-Venant system, a well-known model for shallow waters used in practice for the regulation of navigable rivers, has a particular structure that enables the stabilization of any of its regular steady-states by simple boundary controls, whatever the source term is. This remains true even if the source term and the physical data associated (bathymetry, friction, section width, etc.) are unknown. This feat comes from the existence of a remarkable local entropy that we will discuss. We will see how to stabilize a shock steady-state for the Burgers equation and a hydraulic jump modeled by the Saint-Venant equations. Finally, we will talk about the design of Proportional-Integral controllers which are very much used in practice while remaining quite hard to handle mathematically for nonlinear infinite dimensional systems.

Room location: CPE Lyon, 3 rue victor Grignard, 69622 Villeurbanne, Room F101 – Batiment CPE.

Pour rappel, vous pouvez retrouver toutes ces informations sur la page web :

Seminary of Pr. PEI Hai-Long

The PEI Hai-Long seminar, professor at South China University of Technology,

will be held on Thursday, April 12 at 14:00, LAGEP J. Bordet room.

Title : Research on Unmanned Aerial Systems at South China University of Technology
Hai-Long Pei
Abstract : In recent years, Unmanned Aerial Vehicle (UAV) systems have stimulated tremendous interest in academia and industry in China besides the evidence of enormous UAV production in consuming market, because they can potentially greatly
benefit industry in many modern-day applications. However, numerous technical issues have to be addressed before these applications can be successfully and reliably deployed. At South China University of Technology, we have two major centers devoted to research and development in UAV, namely the Ministry of Education Key Lab of Autonomous Systems and Networked Control, and the Unmanned System Engineering Center of Guangdong Province. To strengthen the connections between academic research and system integration in companies, our laboratory has conducted a broad series of projects for development of theory and algorithms, and building of new hardware platforms for a wide range of uses. This talk will discuss the close connections between education, academic research, and system integration in several of our company projects. New techniques will be presented for multi-vehicle relative navigation, fast and precise sea coastal zone surveying, 3D geospatial mapping for laying oil pipelines, and disaster monitoring. The overall objective of our work is to develop innovative theory, efficient algorithms, and novel vehicle platforms to enable UAVs to possess powers well beyond their existing capabilities.

Seminary of Sylvain Bertrand

Jeudi 29 Mars, Sylvain Bertrand, ingénieur de recherche à l’ONERA (Office National de Recherche En Aérospatiale) donnera une présentation au LAGEP sur
Commande et estimation basées optimisation : combinaison avec des méthodes analytiques et applications aérospatiales

Vous trouverez un résumé de sa présentation ICI.

Jerome Bastien Seminar

Jérome Bastien, MCU of the Interuniversity Laboratory of Motor Biology (LIBM), Lyon I University, will give a seminar in Bordet Room, Thursday 26/04/2018, 14:00

Title : Friction, Identification in Biomechanics and train circuits.

Summary : I worked on the modeling of friction laws on dynamic systems with finite number of degrees (theoretical results of existences and uniqueness and convergence of numerical schemes). These models have, among other things, been used to model real systems (engine belt tensioner or rolling vehicles). For about ten years, I am interested in the modeling of the movement within the CRIS, become LIBM. From experimental data, procedures for identifying biomechanical parameters have been developed in the case of some simple movements.

Recently, the complete analytical description of the plane workspace (the area of ​​the plane that can reach the distal end of the upper limb of a human for example) has been proposed, in a purely geometric way, without any symbolic calculation, such as is usually done.

At the same time, a patent was filed in 2012 on miniature train tracks. In addition to theoretical enumeration results, oddly resembling the notion of self-avoiding polygons, a didactic and geometric use by this game is being exploited for high school students.

I will expose all of this work from the presentation, simplified and updated, of my HDR (2013), available on

Seminar of Romain Postoyan, CR-CNRS of Cran (Nancy)

On Thursday 05/04/2018, 14:00 LAGEP, Bordet Room, Romain Postoyan, CR-CNRS from Cran de Nancy will present his work.

Title: Hybrid Control.

Seminar of Sylvain Bertrand, ONERA

On Thursday 29/03/2018 at 14:00, LAGEP, Salle Bordet, Sylvain Bertrand from ONERA will present his works.
Title: Optimization-Based Command and Estimation: Predictive Command and Sliding Horizon Observers and Aeronautical Applications (UAV control for MPC – with some experiments – and space debris trajectory estimation for the MHE ).


MY PARTNERSHIP RESEARCH in 180s enables researchers from the Carnot Engineering@Lyon Institute to present
their partnership research experience with an SME that has led to an innovative object.
Complete info

1st prize : a value of 50 000 € is the financing of a postdoc for one year
Closing : January 16, 2018
04 72 29 15 69

HDR of Vincent ANDRIEU: Some observer and feedback designs for finite dimensional nonlinear systems

On January 16th at 1:30 pm, Vincent ANDRIEU will support his habilitation to direct the research.

If you wish to attend, the defense will take place at 13:30 in the conference room of the Doua Library.

Title : Some observer and feedback designs for finite dimensional nonlinear systems

Jury :
Alessandro Astolfi (Rapporteur)
Gildas Besançon (Rapporteur)
Henk Nijmeijer (Rapporteur)
Laurent Praly (Examinateur)
Hassan Hammouri (Examinateur)

Seminar by Arbi Moses-Badlyan on “Open State Space Formulation of Reactive Mixtures”


The seminar presented by Arbi Moses-Badlyan (Technical University of Berlin) will take place on Thursday 7 December at 14:00 in room J. Bordet on the following subject:

Title: Open State Space Formulation of Reactive Mixtures

Complex physical systems have been successfully modelled as metriplectic systems, which are state space formulations that have become famous under the acronym GENERIC (General Equation for the Non-Equilibrium Reversible Irreversible Coupling). GENERIC is typically formulated for isolated systems and consist of two main parts, a Hamiltonian part represented by a Poisson bracket and an entropic part represented by a so called dissipation bracket.

In this talk I present results of a joint work were we have been able to set up an operator based open state space formulation that encodes the weak-formulation of the partial-differential field equations describing the dynamics of a reactive mixture of viscous heat-conducting Newtonian fluids. Our operator based open state space formulation via duality pairing induces a bracket formulation that has the properties of a metriplectic system such that the first and in particular the second law of thermodynamics are satisfied.

Arbi Moses Badlyan – PhD Student
: TU-Berlin
Supervisors: Prof. Christopher Beattie (Virginia-Tech) and Prof. Volker Mehrmann (TU-Berlin)

In joint work with:
Christoph Zimmer – PhD Student
University: TU-Berlin
Supervisors: Prof. Christopher Beattie (Virginia-Tech) and Prof. Volker Mehrmann (TU-Berlin)

Seminary of Pauline Bernard

Jeudi 9.11.2017 à 14h00 en salle Bordet au LAGEP, Pauline Bernard donne une présentation sur son travail de thèse qu’elle soutiendra a Paris le 20 Novembre (il s’agit en fait d’une répétition).
Cette présentation concerne la synthèse d’observateurs non linéaires.
Vous trouverez des informations sur Pauline ici:

Résumé : Contrairement aux systèmes linéaires, il n’existe pas de méthode systématique pour la synthèse d’observateurs pour systèmes non linéaires. Cependant, la synthèse peut être plus ou moins simple suivant les coordonnées choisies pour exprimer la dynamique. Des structures particulières, appelées formes canoniques, ont notamment été identifiées comme permettant la construction facile et directe d’un observateur. Une façon usuelle de résoudre le problème consiste donc à chercher un changement de coordonnées réversible permettant l’expression de la dynamique dans l’une de ces formes canoniques, puis à synthétiser l’observateur dans ces coordonnées, et enfin à en déduire une estimation de l’état du système dans les coordonnées initiales par inversion de la transformation. Cette thèse contribue à chacune de ces trois étapes. Premièrement, nous montrons l’intérêt d’une nouvelle forme triangulaire avec des non linéarités continues (non Lipschitz). En effet, les systèmes observables pour toutes entrées, mais dont l’ordre d’observabilité différentielle est supérieur à la dimension du système, peuvent ne pas être transformables dans la forme triangulaire Lipschitz standard, mais plutôt dans une forme triangulaire “seulement continue”. Le célèbre observateur grand gain n’est alors plus suffisant, et nous proposons d’utiliser plutôt des observateurs homogènes. Une autre forme canonique intéressante est la forme linéaire Hurwitz, qui admet un observateur trivial. La question de la transformation d’un système non linéaire dans une telle forme n’a été étudiée que pour les systèmes autonomes à travers les observateurs de Kazantzis-Kravaris ou de Luenberger. Nous montrons ici comment cette synthèse, consistant à résoudre une EDP, peut être étendue aux systèmes instationnaires/commandés. Quant à l’inversion de la transformation, cette étape est loin d’être triviale en pratique, surtout lorsque les espaces de départ et d’arrivée ont des dimensions différentes. En l’absence d’expression explicite et globale de l’inverse, l’inversion numérique repose souvent sur la résolution d’un problème de minimisation couteux en calcul. C’est pourquoi nous développons une méthode permettant d’éviter l’inversion explicite de la transformation en ramenant la dynamique de l’observateur (exprimée dans les coordonnées de la forme canonique) dans les coordonnées initiales du système. Ceci nécessite une extension dynamique, i.e. l’ajout de nouvelles coordonnées et l’augmentation d’une immersion injective en un difféomorphisme surjectif. Enfin, dans une partie totalement indépendante, nous proposons des résultats concernant l’estimation de la position du rotor d’un moteur synchrone à aimant permanent en l’absence d’informations mécaniques (« sans capteur ») et lorsque des paramètres tels que la résistance ou le flux de l’aimant sont inconnus. Ceci est illustré par des simulations sur données réelles.