Robex seminars



Lab-STICC UBO GDR MACS GDR Robotique ENSTA Bretagne DGA ROBEX Sperob Gth Rob










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2024



Alexandre Chapoutot, mercredi 19 juin à 15h, Salle F232, ENSTA-Bretagne, Brest

Titre : Génération de trajectoires sous contraintes acoustiques pour les drones
Abstract. An optimization-based trajectory generation method for unamed aerial vehicles (UAV) with the integration of acoustic constraints will be presented. Solving the acoustic pressure field of an UAV to limit its acoustic signature in space is very challenging if embedded in real-time algorithms. High computational costs are often necessary and the acoustic model depends on many parameters. Nevertheless, new methods allow to interpret localized acoustic pressure field as exclusion zones in space limiting the need of computations. The proposed method considers these zones as acoustic obstacles that UAV should avoid. This approach allows a seamless integration in optimal control problem formulation for which state of the art solvers can be used. Convex optimization methods such as the successive convexification algorithm (SCvx) solve in polynomial time non-linear optimal control problems. Convergence properties and initial conditions flexibility offer a great robustness. In addition, co-computation of UAV trajectory and control inputs is a real asset. Preliminary results show that the proposed approach is promising.














Mathis Riere, vendredi 19 novembre à 14h00, Salle M109, ENSTA-Bretagne, Brest

Titre : Commande en profondeur et orientation complète par 3 ballasts
Résumé. L'objectif de l'étude est de commander un robot uniquement actionné par 3 ballasts afin de le stabiliser à une profondeur et une orientation donnée. On cherche à stabiliser une orientation complète (3 angles d'Euler), incluant donc le cap, dans la limite de ce que permet l'actionnement par 3 ballasts.
Les points suivants sont abordés :
- Étude des orientations atteignables et stables en fonction de la configuration du robot (position et masses des ballasts, masses et équilibrage du robot);
- Commande du robot en linéarisation par bouclage, le stabilisant d'abord à une profondeur et une orientation incomplète sans prise en compte du cap;
- Proposition d'une stratégie de commande en cap permettant d'orienter complètement le robot.
Les ballasts ne permettant d'appliquer un effort que dans une direction verticale, le cap ne peut pas être contrôlé de manière directe.
Une stratégie combinant une succession de rotations menant à l'orientation en cap est donc proposée. La commande proposée est vérifiée et illustrée par simulation.















2023



José Luis Vilchis Medina, jeudi 16 novembre à 14h00, Salle F204, ENSTA-Bretagne, Brest

Titre : Processus décisionnel autonome en présence d'informations incomplètes et de règles de sécurité basé sur un raisonnement non-monotone
Résumé. Dans ce séminaire, nous allons présenter une proposition d'un processus de décision intégrant un raisonnement non-monotone (NMR), embarqué dans une architecture délibérative pour un robot sous-marin. Le processus NMR se fonde sur la logique des défauts afin d'implémenter un raisonnement par objectifs, prenant en compte des informations partiellement observables et/ou incomplètes, et permettant la conception de comportements par défaut qui sont complétés par le traitement de situations spécifiques, afin de gérer l'objectif de la mission en cours ainsi que les règles de sécurité. Nous illustrons notre approche dans le cas d'un robot sous-marin effectuant une mission dans le cadre de la biologie marine.














Nuwan Herath Mudiyanselage, Postdoc à l'ENSTA-Bretagne, mardi 3 Octobre à 15h00, Salle F203, ENSTA-Bretagne, Brest

Titre : Dessin rapide à haute résolution de courbes et surfaces algébriques
Résumé. La visualisation scientifique permet aux utilisateurs de développer une intuition sur leurs données et de les comprendre. Nous abordons le problème de la visualisation de courbes et de surfaces algébriques implicites, qui sont solutions d'une équation polynomiale P(x, y) = 0 ou Q(x, y, z) = 0. Plus précisément, nous traitons le problème du tracé de courbes ou de surfaces de haut degré en haute résolution. Dans ce cas, la plupart des approches de l'état de l'art ne parviennent pas à produire des dessins en un temps raisonnable en raison du coût élevé de l'évaluation polynomiale. Notre principale contribution consiste à combiner des algorithmes standards de visualisation issus de l'infographie avec des méthodes d'évaluation multipoints issues du calcul formel. Plus précisément, nous utilisons la transformée en cosinus discrète (DCT), qui peut être calculée efficacement avec l'algorithme de transformée de Fourier rapide (FFT). Dans la plupart de nos algorithmes, nous avons combiné cette idée avec un processus de subdivision classique afin de réduire le nombre d'évaluations. En utilisant un calcul exact de borne d'erreur et l'arithmétique d'intervalles, nous proposons de nouveaux algorithmes qui produisent des dessins certifiés. Nous les comparons expérimentalement sur deux classes de polynômes de haut degré. En particulier, certaines de ces approches sont plus rapides que les logiciels de l'état de l'art.














Andreas Rauh, Professor at the University of Oldenburg, jeudi 21 Septembre à 14h00, Salle F231, ENSTA-Bretagne, Brest

Title : Examples for the use of the Intlab and Cora Libraries in the Frame of Control and State Estimation Tasks
Abstract. This presentation gives a tutorial-style overview of the use of the Matlab libraries Intlab and Cora from the points of view of identification, verified simulation, state estimation and robust control. It especially focuses on a selection of the different available representations of uncertainty in a set-based form, namely, intervals, Taylor models, ellipsoids, and zonotopes.














Edwin Tomy George from University of Texas at El Paso, jeudi 20 juillet à 14h00, Salle M108, ENSTA-Bretagne, Brest

Title : Improvement in Interval Analysis based Localization through Neural Networks
Abstract. The correct localization of mobile robots is necessary, even with the existence of imprecise sensors which may record geospatial data with a certain degree of uncertainty. These mobile robots may follow heavily non-linear and not easily represented relations. Interval Computation is a numerical tool that allows us to solve these non-linear problems in a reliable way, guaranteeing correct results and avoiding false negatives. One notable issue with Interval Computation is the time it takes to compute results, making real-time observations computationally expensive. Thus, we propose using neural networks, which could supplant the role of Interval Computation and potentially reduce the time to localize mobile robots, especially in cases where a robot may follow a not easily represented relation. This project will compare traditional interval analysis methods for localization with neural networks.














Manuel Arana Jimenez, jeudi 13 juillet à 14h00, Salle F209, ENSTA-Bretagne, Brest

Title : Interval and fuzzy numbers. Applications to optimization
Abstract. In this talk, we present the concepts of intervals and fuzzy numbers, as well as their arithmetics and partial orders. We discuss their applications to modeling and optimization problems. To the latter, some formulations and computational algorithms are presented for the case of linear problems. And for the case of nonlinear problems, some tools, such as differentials and optimality conditions are commented.














Aaronkumar Ehambram, jeudi 1 juin à 15h30, Salle F104, ENSTA-Bretagne, Brest

Title : Hybrid Probabilistic- and Set-Membership-based Coarse and Refined (HyPaSCoRe) Localization
Abstract. In the seminar, we propose our novel Hybrid Probabilistic- and Set-Membership-based Coarse and Refined (HyPaSCoRe) Localization, which is used to locate a robot in a building map in real-time. The method combines set-membership and probabilistic approaches to improve accuracy and reduce uncertainty. It consists of three modules: visual odometry, coarse localization, and refined localization. The method uses a stereo camera system, LiDAR, and GNSS data to handle localization in urban canyons where GNSS data may be unreliable. The visual odometry module calculates the vehicle's relative motion, while the coarse localization module narrows down the feasible set of poses using set-membership approaches and identifies the most likely poses within that set using probabilistic methods. The refined localization module further refines the results by incorporating probabilistic constraints into the set-membership approach. The HyPaSCoRe Localization maintains the integrity of the uncertainty estimation while providing accurate, most likely point-valued solutions in real-time. Our implementation is publicly available on GitHub: https://github.com/AaronEhambram/hypascore_localization














Laurent Burlion, Rutgers State University, vendredi 10 mars 2023, 15h, ENSTA, Brest

Title : Reference Governors for Linear Systems with Uncertain Polynomial Constraints and Disturbances
Abstract : The capabilities of an aircraft in terms of speed, load, and altitude are referred to as its flight envelope. Ensuring that an aircraft remains within its flight envelope is essential to prevent loss of control (LoC). Envelope protection currently entails preventing specific constraint violations. The present work is devoted to methods that prevent constraint violations based on reference governors.














Bernardo Hummes Flores, jeudi 23 février 2023, 9h, Guerlédan

Title : Formal methods for mobile robotics
Abstract : Formal methods are used in the context of robotics for conceiving and verifying algorithms with guaranteed results. This presentation will be an overview of the context of distributed robotics algorithms and a motivation for formalising robotic tasks via equivalences between structures in modal logics, algebraic topology and category theory.














Gabriel Gattaux, mercredi 22 février 2023, 9h, Guerlédan

Title : Biologically constraint neural algorithm using omnidirectional camera for the navigation of mobile robots
Abstract : The goal of this project is to develop a new method of Route following and Homing task for mobile robots in a GNSS-denied environment. We used a robust neural model of ants developed by biologists in simulation with aim to understand their behaviours. We used a fisheye camera of 360° azimuth and 220° elevation mounted on a car-like robot, then evaluated in an arena fitted with 17 VICON cameras. This work shows that a single path learned can be retrieved by a mobile robot at an unknown location. The first breakthrough for this model of navigation is that we used an image of 44x44 pixels, which, in that case, represents a resolution of 5°/pixel. The second one is an image database isn’t used nor memorized, as the result the memory size is not affected by the path length.














Pierre Filiol, mercredi 9 novembre 2022, 15h, Salle F145, ENSTA-Bretagne, Brest

Title : Proposal of a hardware architecture to accelerate interval methods in robotics
Abstract : Interval analysis is an interesting method to deal with some recurrent problems found in robotics such as localisation or parameter estimation.Practically, most programs using intervals in robotics are written with software libraries such as ibex, gaol or libieeep1788 which come with several flaws.A major problem is that they are often built on low level libraries which are non portable and thus complicate the deployment of an algorithm in an embedded context.In addition, those libraries are often left unmaintained with few documentation or cover a scope of interval problems which largely exceed the needs of robotic.The core topic of this presentation is to explain the goals of my PhD thesis which essentially revolves around the proposal of a RISCV ISA extension to directly tackle interval operations at hardware level. This raises several issues that must be discussed. First and foremost, the interval model which will be implemented in hardware has been slightly modified to deal with operations which are not defined everywhere, making it an interesting addition to the ieee standard. Secondly, the proposed ISA will have to make a trade-off between pure hardware implementation and hybrid software/hardware. Finally,some compiling tools must be designed to make use of the new instructions and help the user to implement his algorithm.




Quentin Brateau, jeudi 7 juillet 2022 à 15h30, Salle F209, ENSTA-Bretagne, Brest

Title : State estimation of a system of sub-systems with undistinguishable measurements using interval analysis
Abstract : Estimating the state of a system of sub-systems controlled by the same evolution equation is a difficult task when measurements are performed on individual sub-systems and undistinguishable. Classical approaches are based on combinatorial logic, which implies a lot of computational power. The presented method provides solutions to solve this state estimation problem efficiently in high dimension.
The maritime environment is complex and difficult to monitor. It is quite easy for a boat to navigate furtively if it is not visible from the shore. The presented tools will be applied on this ocean monitoring problem to reliably detect surface vessels that evolve in the marine space. This can be used to detect enemy ships sailing in unauthorized areas, but also to know the ship’s position and manage maritime traffic.














Aaronkumar Ehambram, jeudi 7 juillet 2022 à 15h, Salle F209, ENSTA-Bretagne, Brest

Title : Towards Reliable Mobile Robots: Hybrid Interval-Probabilistic Simultaneous Localization and Mapping Enhanced by Building Maps
Abstract : Methods that reliably cope with observation uncertainties and maintain integrity are inevitable for pose estimation systems in the context of autonomous driving. Although probabilistic approaches are very popular in the mobile robotics community, those methods lack integrity and no guarantees can be made. Interval analysis on the counterpart represents an attractive tool to overcome this problem but comes with the disadvantage of conservative uncertainty propagation. The goal of my Ph.D. thesis is on the one hand to explore the capabilities of interval approaches for the poses estimation problem of mobile robots and, on the other hand to fuse probabilistic and interval approaches to take advantage of the benefits of both worlds.
In this seminar the three core topics of my Ph.D. thesis will be introduced. First, the interval-based Visual Inertial LiDAR SLAM (i-VIL SLAM) with anchoring poses is presented. Using anchoring poses to limit the uncertainty accumulation along the trajectory is necessary since loops in the context of autonomous driving happen rarely and the conservative uncertainty estimate leads to dramatic accumulation of the pose estimation uncertainty. However, to acquire anchoring poses, accurate pose estimation systems are necessary. To avoid the use of anchoring poses, publicly available global maps can be used to enhance the SLAM with further information. Therefore, in the second topic a hybrid interval-probabilistic localization approach in publicly available building maps is introduced. While in a first step the feasible set of poses within the map is narrowed down by taking local LiDAR data into account, in a second step the most likely solution is determined assuming Gaussian measurement uncertainties. Although this method works well for a good initial pose guess, a global localization with this method is not possible. That is why the third topic on global localization using interval analysis is introduced and the current status of this work is presented.














Damien Massé, jeudi 7 juillet 2022 à 14h, Salle F209, ENSTA-Bretagne, Brest

Title : Design of a differential inclusion contractor
Abstract : This presentation shows several aspects on the design of a guaranteed differential inclusion contractor on tubes, using matrix exponentiation. First, we present the approach linking matrix exponentiation and related functions to the differential inclusion problem. Then, we discuss how to perform precise and guaranteed computations on these functions. This is achieved by generalising the common scaling and squaring approach. The next part deals with the choice of set representations: we consider intersections of parallelotops, presenting advantages and drawbacks of this domain. Finally, we show that this domain is also well-suited to design a relational backward contractor on functions.














David Filliat, Mercredi 6 juillet, 14:30, Ampli 3, ENSTA-Bretagne, Brest

Title : Improving data efficiency for machine learning in robotics
Abstract : Machine learning is a key technology for robotics and autonomous systems, in the area of sensory processing and in the area of control. While learning on large datasets for perception lead to impressive applications, applications in the area of control still present many challenges as the system to control remains slow and brittle. Reducing the required number of interactions with the system is, therefore, a key aspect of the progress of machine learning applied to robotics. We will present different approaches that can be used for this purpose, in particular approaches for State Representation Learning that can help improve data efficiency in Reinforcement Learning.














Hélène Piet Lahanier, Mercredi 6 juillet, 15:00, Ampli 3, ENSTA-Bretagne, Brest

Title : Set theoretic approach for target localization and tracking using a fleet of drones
Abstract : Among the various applications for fleets of UAVs, searching and tracking mobile targets remains a challenging task. This talk presents a distributed set-membership estimation and control scheme. This scheme relies on the description of uncertainty and noise as bounded processes. Constraints on the field of view, as well as the presence of false targets, are taken into account. Each UAV maintains several set estimates: one for each detected and identified true target, one for detected but not yet identified targets, and one for not yet detected targets, which is also the subset of the state space still to be explored. These sets are updated by each UAV using the information coming from its sensors as well as received from its neighbors.
A distributed set-membership model predictive control approach is considered to compute the trajectories of UAVs. The control input minimizing a measure of the volume of the set-membership estimates predicted h steps ahead is then evaluated. Simulations of scenarios including the presence of false targets illustrate the ability of the proposed approach to efficiently search and track an unknown number of moving targets within some delimited search area.














Michel Kieffer, Mercredi 6 juillet, 15:30, Ampli 3, ENSTA-Bretagne, Brest

Title : Localization of partially hidden targets using a fleet of UAVs via robust bounded-error estimation
Abstract : In this talk, we address the cooperative search of static ground targets by a group of UAVs over some region of interest. The search strategy dependents on the availability and accuracy of the information collected. When a target is detected, a probabilistic description of the measurement noise is usually considered, as well as probabilities of false alarm and non-detection, which may prove difficult to characterize a priori.
An alternative modeling is introduced here. The ability to detect and identify a target depends deterministically on the point of view from which the target is observed. Introducing the notion of detectability sets for targets, we propose a robust distributed set-membership estimator to provide set estimates of target locations. The obtained set estimates are guaranteed to contain all target locations when the search is completed. The target search is again formulated as a multi-agent cooperative control problem where the control inputs are obtained using a Model Predictive Control (MPC) approach minimizing a measure of the set estimates representing the detection performance. The effectiveness of the proposed algorithm is illustrated by simulation.














Nicolas Delanoue, Mardi 5 juillet, 15:00, Ampli 3, ENSTA-Bretagne, Brest

Title : Version tropicale du théorème de Putinar. Applications à l’optimisation globale
Abstract :














Julien Damers, vendredi 1 juillet 2022 à 15h, Salle F201, ENSTA-Bretagne, Brest

Title : Lie groups applied to localisation of mobile robots
Abstract : With the development of offshore activities the costs of maintenance and monitoring of offshore plants in terms of crew members, boats, and money has greatly increased and is still growing dramatically. This encouraged the development of Autonomous Underwater Vehicles (AUV). These are still very expensive because of the numerous high-end sensors they need to embark to accomplish their missions. Thus their number is relatively low. Therefore research is made to develop low-cost AUVs that could be produced in a larger amount to perform the same missions. This presentation comes within the scope of this research field. One of the main problems when dealing with AUVs is the localisation of the vehicle which will be the one addressed throughout this work. To tackle it, we present a new guaranteed integration method, which is more robust to the uncertainties on the initial condition than the ones currently available, based on Lie symmetries. This method is first presented through different simple theoretical examples. We then apply it on a the localisation problem in a robotic context.














Titouan Verdu, jeudi 28 avril 2022 à 14h, Salle F114, ENSTA-Bretagne, Brest

Titre : Développement et validation de schémas de vol adaptatifs pour l’exploration de nuage
Résumé. Les scientifiques de l’atmosphère cherchent constamment à acquérir de nouvelles données pouvant améliorer leurs modèles des phénomènes atmosphériques, et notamment des nuages. Cependant les méthodes actuelles sont insuffisantes pour collecter des mesures adéquates de la dynamique générant de grandes incertitudes dans la formulation des modèles. Bien que l’utilisation d’un drone unique soit très populaire, le déploiement de flottes de drones est encore peu courant et se limite principalement à de l’exploration et de la cartographie d’environnements inconnus statiques. Une flotte pourrait trouver son utilité dans d’autres applications plus complexes comme le suivi de phénomènes dynamiques (e.g flaques d’huiles sur la mer, panaches de fumées d’une usine, phénomènes atmosphériques). Sachant que les motifs de vols classiques utilisés dans les autopilotes ne sont pas pertinents pour explorer des environnements aussi dynamiques, la contribution principale de ma thèse a été le développement et l’implémentation dans le système PAPARAZZI de motifs de vols adaptatifs. Ces derniers utilisent les mesures des capteurs en temps réel pour adapter les trajectoires du drone au nuage à cartographier de plus, le calcul est réalisé à bord du drone et sans intervention d’un opérateur. Le comportement du drone change selon le motif employé, permettant le suivi de la bordure du nuage, la construction d’une carte 3D dense ou encore la détermination du cœur du nuage. La validation de ce travail s’est réalisée avec le déploiement de la flotte lors d’une campagne de mesures à la Barbade en 2020 qui a notamment permis d’effectuer un grand nombre de vols d’explorations et de suivis de nuages dans des conditions réelles.















2021



Hugo Sellet, jeudi 16 décembre à 16h, ENSTA-Bretagne, Room F231, Brest

Title : Dark Edge Expedition: Robotics at the service of oceanography, an insight in the Arctic
Abstract. Polar regions are currently undergoing rapid changes (e.g. IPCC, 2013). Polar amplification means that some of the strongest signals of global climate change are found at high latitudes. For example, summer Arctic sea ice extent has decreased by approximately 40% since the beginning of satellite measurements in the late 1970s (e.g. Stroeve et al., 2011), resulting in the presence of new “seasonal seas” and the associated dynamical changes. At the same time, complicated teleconnections with lower latitudes result in polar conditions affecting weather and climate across the globe (e.g. Vihma, 2014). In order to study these changing systems, and their effects, high-quality physical, chemical, and biological in situ data are urgently needed. A key challenge in this regard is making accurate oceanographic measurements of several physical parameters. It is in this context that mobile robotics can be a very effective solution. During the Dark Edge expedition (October 2021) a specifically home-built catamaran has been deployed in the Arctic to measure some of these physical parameters. This seminar will go through on how unforeseen onboard equipment failures have been responded to, possible solutions for enhancement with acquired experience and insights for future development. Overall, it will be an example on how mobile robotics and oceanography makes a great symbiosis.














Fabrice Le Bars, Mercredi 24 novembre 14:00, ENSTA-Bretagne, Brest

Title : Preliminary design of an interval-based autopilot
Abstract. An autopilot is a combination of an INS (Inertial Navigation System), additional predefined sensors, actuators, and communication ports, with control algorithms. Its purpose is to provide the best state estimation of a robot in all conditions as well as autonomous operation such as following waypoints. Some experiments show that recurring causes of mission failures and robot loss are related to a wrong heading and/or position estimation, often due to a problem on one sensor even though other related sensors were correct. This presentation proposes to demonstrate how an interval-based heading estimation algorithm could help detecting and correcting some sensors inconsistencies by design. The results of experiments with an autonomous boat will show the practical use of the method.














Morgan Louédec, Mercredi 24 novembre 14:30, ENSTA-Bretagne, Brest

Title : Interval Extended Kalman Filter – combining probabilistic and set membership filters
Abstract. The probabilistic and the set membership approaches in the localization problems are often seen as different and in competition. While in practice, the robots often rely on a probabilistic localization with a Kalman Filter for their online autonomous navigation, the set membership method is mainly used in post-process analysis. However, the Extended Kalman Filter (EKF), which has shown to be a precise method for nonlinear state estimation, may diverge in if its linearization point is far from the true state. We proposes a new filter, the Interval Extended Kalman Filter (IEKF) which benefits from the advantages of the EKF and the Interval Filter (IF). By linearizing the EKF in a feasible set generated by an the IF, the IEKF is more likely to converge toward the state of the robot. This new filter, has been applied for simulated underwater localization scenarios.














Lucia Bergantin, Mercredi 24 novembre 15:00, ENSTA-Bretagne, Brest

Title : Oscillations make a self-scaled model for honeybees’ visual odometer reliable regardless of flight trajectory
Abstract. with L., Harbaoui, N., Raharijaona, T. & Ruffier F.
Honeybees foraging and recruiting nest-mates by performing the waggle dance need to be able to gauge the flight distance to the food source regardless of the wind and terrain conditions. Previous authors have hypothesized that the foragers’ visual odometer mathematically integrates the angular velocity of the ground image sweeping backward across their ventral viewfield, known as translational optic flow. The question arises as to how mathematical integration of optic flow (usually expressed in radians/s) can reliably encode distances, regardless of the height and speed of flight. The vertical self-oscillatory movements observed in honeybees trigger expansions and contractions of the optic flow vector field, yielding an additional visual cue called optic flow divergence. We have developed a self-scaled model for the visual odometer in which the translational optic flow is scaled by the estimated current clearance from the ground. In simulation, this model, which we have called SOFIa, was found to be reliable in a large range of flight trajectories, terrains and wind conditions. It reduced the statistical dispersion of the estimated flight distances approximately 10-fold in comparison with the mathematically integrated raw optic flow model. The SOFIa model can be directly implemented in robotic applications based on minimalistic visual equipment.












Luc Jaulin, Mercredi 24 novembre 15:30, ENSTA-Bretagne, Brest

Title : Solving geometrical constraints in space-time
Abstract. In an Euclidian space, the separation between two points corresponds to their distance which is purely spatial, and is always positive. In space-time, the separation between two events takes into account not only the spatial separation between the events, but also their temporal separation. In this talk, we will consider problems involving geometrical constraints in the space-time. The motion of the objects will be described by differential equations and the clocks attached to each robot are not synchronized). An interval-based technique will be used to solve the problem. The method will be illustrated on the localization of a group of underwater robots with unsynchronized clocks. In this problem, we consider that the travel time of the sound that gives us the distances between robots cannot be neglected.














Andreas Rauh, lundi 18 octobre à 14h, Amphi 2, ENSTA-Bretagne, Brest

Titre : Quantification des erreurs de troncation dans le domaine temporel pour la réinitialisation des intégrateurs fractionnaires
Résumé. Les équations différentielles d'ordre fractionnaire (anglais: FDE - fractional differential equations) sont caractérisées par le fait que les ordres des dérivées ne sont pas donnés par des valeurs entières (comme classiquement, p.ex., pour un système mécanique, où la vitesse correspond à la première dérivée temporelle de la position). D'un côté, cette généralisation de la notion des dérivées, qui utilise des ordres non-entièrs, nous donne la possibilité de trouver des représentations linéaires pour la dynamique, même si les solutions autonomes ne sont pas seulement composées des fonctions sinusoïdales, exponentielles ou des monômes du temps. D'un autre côte, on peut également utiliser ces modèles fractionnaires pour traiter des effets d'une mémoire infinie du passé des pseudo états. Malgré l'existence de nombreuses applications - comme les amortisseurs rhéologiques ou des phénomènes électrochimiques - qui sont effectivement modélisées par les FDEs, le traitement numérique devient complexe si la procedure d'intégration des FDEs doit être réinitialisée comme dans des approches prédicteur-correcteur pour l'estimation d'état. Pour quantifier proprement les erreurs de troncation, qui arrivent dans ce cas, je présente une approche nouvelle basée sur la synthèse d'un observateur par intervalles qui va être illustrée pour les phases de charge et décharge des batteries.














Silvère Bonnabel, vendredi 24 septembre à 9h (virtuel).

Title: Geometric filtering and navigation application
Déroulement: Ce séminaire se limite à une séance de questions-réponses. Il faut avoir regardé la vidéo avant.
Abstract. Statistical filtering is a desirable mathematical framework for the estimation of the internal state variables of a dynamical system in the light of various sensors' measurements. Since the advent of the space age, it has played a pivotal role in guidance and navigation problems in aeronautics and robotics. Its workhorse, the Kalman filter – albeit usable in a nonlinear context by linearizing about the estimated state trajectory – deeply builds upon the specificity of linear systems. As a result, key theoretical properties are lost in nonlinear contexts, in particular when dealing with challenging nonlinear problems related to the navigation of autonomous systems. However, it turns out that many such estimation problems bear a structure akin to linear systems, after a proper embedding of the state space into a matrix group has been found. Essentially, by replacing vector addition with matrix multiplication, linear observer design (or linear filter design) carries over, as well as a number of convergence and consistency guarantees discovered over the past fifteen years. We illustrate this perspective by addressing various problems, from the design of high performance industrial inertial navigation systems to robot simultaneous localization and mapping. For the latter, the geometric approach resolves problems connected to the notion of observability that have long impeded the use of the classical extended Kalman filter. The latter results have been shown to carry over to applications beyond SLAM such as legged robot state estimation and inertial navigation.












Lionel Lapierre, jeudi 8 juillet à 11h, Amphi 3, ENSTA-Bretagne, Brest

Titre : Robotique d'Exploration Karstique.
Résumé. Les enjeux autour de la ressource en eau sont considérables et les moyens d'investigation et de caractérisation des réserves souterraines sont urgemment attendus. Ce projet consiste à développer des systèmes robotiques en mesure de visiter des aquifères karstiques pour en extraire des mesures pertinentes pour les hydrogéologues et éclairer les décisions des autorités pour une gestion active de la resource. Cette présentation s'attachera à décrire les problématiques robotiques sous jacentes, les derniers résultats obtenus et les perspectives à court, moyen et long termes.












Benjamin Lepers, jeudi 27 mai à 14h, Brest

Titre : Traitement d'images (classification, segmentation, détection) par réseau de neurones avec la librairie Fastai-Pytorch.
Résumé. Les réseaux de neurones existent depuis plus d'un demi siècle (Perceptron, Rosenblatt, 1958, Backpropagation, Werbos, 1974) et ont une analogie lointaine avec les neurones biologiques. Depuis quelques années (et notamment 2012, papier: ImageNet Classification with Deep ConvolutionalNeural Networks), les réseaux sont de plus en plus utilisés pour une large gamme d'applications et notamment le traitement d'images.
Principalement trois raisons ont démocratisé l'usage des ces modèles:
- des jeux de données labélisés
- les cartes graphiques (GPU et la librairie CUDA)
- le développement de librairies dédiées à l'apprentissage profond
On présentera un exemple simple de classification d'images avec la librairie Fastai basée sur Pytorch. Et on montrera que grace à l'utilisation d'un modèle convolutif pré entrainé sur ImageNet, on peut obtenir de bon résultats en quelques passes d'entrainement sur un jeu de données spécifique de petite taille. La segmentation d'images supervisée et non supervisée sera aussi discutée.












Marie Ponchart, 10 mai 2021, 14h, Brest

Titre : Photogrammétrie sous-marine pour la cartographie haute résolution.
Séminaire conjoint avec l'équipe M3 du Lab-STICC
Résumé. Tandis que les moyens acoustiques classiques (sondeurs multifaisceaux) ne permettent d’atteindre qu’une résolution de l’ordre de plusieurs dizaines de centimètres pour la cartographie des fonds marins, la photogrammétrie sous-marine est ici envisagée comme un outil permettant l’amélioration considérable de cette résolution.
Cependant, la technique de photogrammétrie ayant déjà largement fait ses preuves en aérien (cartographie, archéologie, ...), il s’agit ici d’en évaluer les performances en milieu sous-marin avec l’ensemble des contraintes que cela peut engendrer : faible luminosité, turbidité, difficultés de positionnement, ...
Dans ce but, un système d’acquisition de données photogrammétriques, basé sur l’utilisation de 3 caméras d’action GoPro, a été élaboré. Les résultats des premiers tests aériens ont ensuite permis d’évaluer les performances de ce système, ainsi que du logiciel de traitement photogrammétrique open source MicMac. Finalement, la mise en œuvre des premiers essais en sous-marin et les résultats qui en découlent, nous permettent de nous projeter vers l’élaboration d’un nouveau système d’acquisition complet, monté sur ROV.












Christophe Viel, 29 avril 2021, 14h, Brest

Title : Self-management of the umbilical of a ROV for underwater exploration.
Abstract. This work focuses on a passive self-management of the umbilical of a Removed Operated Vehicle (ROV) for underwater exploration. The objective is to give a predictable shape to the umbilical using moving ballast and buoys to tend the umbilical and so to avoid nodes on the cable itself or with environmental obstacle. The ballast and buoys move by themselves to maintain the cable taut using only weight and Archimedes strength, without motorize system on the umbilical. The only required feedback is a relative knowledge of the ROV position and a limitation of its acceleration in some directions to be controlled. In absence of current, the position of the umbilical can be known using only the ROV position. Case with currents will require knowledge of their strength and orientation to evaluate the shape of the umbilical, but are not required to evaluate safety area for the ROV where absence of nodes in the umbilical are guaranteed. Three configurations of the umbilical are proposed, each one to be the most adapted for ROV missions: hull boat exploration and close-surface exploration, sea-ground exploration, and deep exploration with presence of large obstacles.












Thomas Le Mézo, 19 mars 2021, 9h Brest

Title : Computation of viability kernels for underwater robotics.
Abstract. In this seminar, I will present how the use of viability kernels of dynamic systems with inputs can provide solutions to important problems in mobile robotics. First, we will define the notions around viability kernels. We will see how we can bracket them. Finally we will show on a simple example of underwater robot how they can be exploited and their possible potential to solve more complex problems such as authority sharing, dependability or performance analysis of a system.




























































































Some seminars made by invited researchers at ENSTA before Robex and on the topics of Robex

Philippe Bonnifait. février 2013.
Titre: Véhicules intelligents et aides à la conduite avancées

Rogelio Lozano. 27 mars 2014.
Titre : Prototypes volants expérimentaux

Alexandre Chapoutot. 14 mai 2014.
Title : Guaranteed numerical integration based on explicit methods of Runge-Kutta

Luis Benet. 20 juillet 2016.
Title: A simple model for the location of Saturn's F ring
Abstract: I will describe a simplified model to understand the location of Saturn's F-ring. We compute accurate long-time numerical integrations of non-interacting test-particles initially located in the region between the orbits of Prometheus and Pandora, and address whether they escape or remain trapped in this region. We obtain a wide region of initial conditions of the test particles that remains confined. We consider a dynamical stability indicator for the test particles motion defined by computing the ratio of the standard deviation over the average value of relevant dynamical quantities, in particular, for the mean-motion and the the semi-major axis. This indicator separates clearly a subset of trapped initial conditions, that appear as very localized stripes in the initial semi-major axis and eccentricity space for the most stable orbits. Retaining only these test particles, we obtain a narrow eccentric ring which displays sharp edges. The most stable test particles accumulate in specific locations in the semi-major axis, which we compare with the location of some low order two and three-body resonances Comparison of our results with the nominal data for the F-ring shows a good correspondence.

Frank Ruffier. 19 décembre 2016, 15:00, à l'ENSTA-Bretagne
Title: Biomimetic vision and Aerial robots.
Flying insects are endowed with several sensory modalities, but the optic flow appears to be the main cue for the vertical flight control. We showed recently that robots equipped with a new autopilot based on the optic flow regulators are able to control their course without requiring a state vector describing their absolute speed, position or altitude : the robots trajectories mimick the insects trajectories even in the presence of wind. By applying optic flow criteria, these robots manipulate forces by the way of rotor and thruster speed and thus adjust their speed of flight, their lateral position or their altitude without any state vector. This optic flow based steering control system makes them avoid obstacles even in unstable environments without any need for maps and even without any measurement and control of its absolute pitch.

Frédéric Boyer. 12 juin 2018 à l'ENSTA-Bretagne
Titre : Bio-inspired locomotion robots dynamics: from discrete to continuous systems
Les animaux fascinent par leur capacité à se déplacer dans des milieux difficiles tout en maintenant des performances élevées en termes d'agilité et d'efficacité. Ceci explique pourquoi les roboticiens s'intéressent aujourd'hui à une nouvelle génération de robots bio-inspirés des serpents, poissons et autre papillon sphinx. Afin de progresser dans cette voie, il est essentiel de comprendre quels sont les mécanismes que les animaux ont découverts au cours de leur évolution pour résoudre les problèmes durs auxquels les concepteurs et contrôleurs de robots doivent faire face. Pour aider ces recherches, la production d'outils génériques dédiés à la modélisation, l'analyse et le contrôle de la locomotion s'avère être un atout précieux. L'exposé présenté a deux objectifs. Premièrement, il aborde la question qualitative de la classification des modèles de la locomotion par des outils de mécanique géométrique. En second lieu, il présente des algorithmes généraux et efficaces adaptés à l'étude de la locomotion. Ces idées seront illustrées sur des cas particuliers empruntés à la nage, la reptation et le vol battant.