Faced with the limitations and drawbacks of fractional calculus and fractional calculus based models [1], and keeping in mind that that “fractional calculus-based models” and “fractional behaviours” (or power law long memory type behaviours) are two different concepts:
– one denotes a particular class of models and
– the other is a class of dynamical behaviours that can be generated and modelled by a wide variety of mathematical tools other than fractional calculus (thus without limitations and drawbacks associated to fractional models),
I decided to reorient my research to focus on fractional behaviours using any modelling and analysis tools other than fractional calculus-based tools [1].
It turns out that some non-linear models, diffusion equations with spatially variable coefficients, distributed delay models, convolution models with rational kernels, or also peridynamics models are able to generate fractional behaviours and are all useful models to overcome the shortcomings of fractional calculus-based models.
My research topics therefore focuses on the study of these models and the development of identification methods dedicated to these models. It also focuses on understanding the origins of fractional behaviours in order to find other classes of possible models. Comparing these modeling tools with real data is also an important part of my activity.
Considering fractional behaviours without being limited to fractional calculus based models opens up countless avenues of research in the field of analysis, modelling, system identification, control,…
[1] – Talk Video
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Article (44)
Hydrogen production by hydrolysis of bulk porous aluminium Author(s): Laurent Cuzacq, Jean-François Silvain, Jocelyn Sabatier, Jean-Louis Bobet Year of publication: 2025 Journal: ACS Applied Energy Materials DOI: 10.1021/acsaem.5c00768 HAL link: https://hal.science/hal-05105808v1 Fractional Dynamical Behaviour Modelling Using Convolution Models with Non-Singular Rational Kernels: Some Extensions in the Complex Domain Author(s): Jocelyn Sabatier Year of publication: 2025 Journal: Fractal and Fractional DOI: 10.3390/fractalfract9020079 HAL link: https://hal.science/hal-05030024v1 Nonlinear Model Predictive Control for a Simulated Reconfigurable Battery Pack Author(s): Abouzede Mondoha, Jocelyn Sabatier, Patrick Lanusse, Simon Tippmann, Christophe Farges Year of publication: 2025 Journal: IFAC-PapersOnLine DOI: 10.1016/j.ifacol.2021.08.569 HAL link: https://hal.science/hal-05428033v1 Decentralized hydrogen production from magnesium hydrolysis for off-grid residential applications Author(s): Jocelyn Sabatier, Ryma Chouder, Jean-Pierre Bedecarrats, Jean-Louis Bobet, Fabrice Mauvy, Matthieu Faessel Year of publication: 2025 Journal: Hydrogen DOI: 10.3390/hydrogen6040117 HAL link: https://hal.science/hal-05416985v1 Hydrogen generation performances and electrochemical properties of Mg alloys with 14 H long period stacking ordered structure Author(s): Manuel Legrée, Véronique Charbonnier, Serge Al Bacha, Kohta Asano, Kouji Sakaki, Isabelle Aubert, Fabrice Mauvy, Jocelyn Sabatier, Jean-Louis Bobet Year of publication: 2023 Journal: Journal of Alloys and Compounds DOI: 10.1016/j.jallcom.2022.168154 HAL link: https://hal.science/hal-03932299v1 Beyond the particular case of circuits with geometrically distributed components for approximation of fractional order models: Application to a new class of model for power law type long memory behaviour modelling Author(s): Jocelyn Sabatier Year of publication: 2022 Journal: International journal of advanced research DOI: 10.1016/j.jare.2020.04.004 HAL link: https://hal.science/hal-02897398v1 Modeling hydrolysis kinetics of dual phase α-Mg/LPSO alloys Author(s): Manuel Legrée, Jean-Louis Bobet, Fabrice Mauvy, Jocelyn Sabatier Year of publication: 2022 Journal: International Journal of Hydrogen Energy DOI: 10.1016/j.ijhydene.2022.05.001 HAL link: https://hal.science/hal-03716578v1 Experimental and theoretical approach of the hydrolysis of pelleted magnesium alloys scraps Author(s): Quentin Gouty, Facundo J. Castro, Guillermina Urretavizcaya, Jocelyn Sabatier, Jean-Louis Bobet Year of publication: 2022 Journal: Journal of Alloys and Compounds DOI: 10.1016/j.jallcom.2022.165784 HAL link: https://hal.science/hal-03709793v1 Direct 3D-printing of phosphate glass by fused deposition modeling Author(s): Reda Mohammed Zaki, Clément Strutynski, Simon Kaser, Dominique Bernard, Grégory Hauss, Matthieu Faessel, Jocelyn Sabatier, Lionel Canioni, Younès Messaddeq, Sylvain Danto, Thierry Cardinal Year of publication: 2020 Journal: Materials & Design DOI: 10.1016/j.matdes.2020.108957 HAL link: https://hal.science/hal-02900106v1 Fractional State Space Description: A Particular Case of the Volterra Equations Author(s): Jocelyn Sabatier Year of publication: 2020 Journal: Fractal and Fractional DOI: 10.3390/fractalfract4020023 HAL link: https://hal.science/hal-02897399v1 Power Law Type Long Memory Behaviors Modeled with Distributed Time Delay Systems Author(s): Jocelyn Sabatier Year of publication: 2020 Journal: Fractal and Fractional DOI: 10.3390/fractalfract4010001 HAL link: https://hal.science/hal-02897395v1 Non-Singular Kernels for Modelling Power Law Type Long Memory Behaviours and Beyond Author(s): Jocelyn Sabatier Year of publication: 2020 Journal: Cybernetics and Systems DOI: 10.1080/01969722.2020.1758470 HAL link: https://hal.science/hal-02897396v1 Modelling and Control of a Tethered Kite in Dynamic Flight Author(s): Baptiste Cadalen, Griffon Fabien, Patrick Lanusse, Jocelyn Sabatier, Yves Parlier Year of publication: 2020 Journal: Journal of Sailing Technology DOI: HAL link: https://hal.science/hal-02501828v1 Autonomous hydrogen production for proton exchange membrane fuel cells PEMFC Author(s): Manuel Legree, Jocelyn Sabatier, Fabrice Mauvy, Abdel Salam Awad, Matthieu Faessel, Frederic Bos, Jean-Louis Bobet Year of publication: 2020 Journal: Journal of Energy and Power Technology DOI: 10.21926/jept.2002004 HAL link: https://hal.science/hal-02875273v1 Electro-Thermal and Aging Lithium-Ion Cell Modelling with Application to Optimal Battery Charging Author(s): Sara Mohajer, Jocelyn Sabatier, Patrick Lanusse, Olivier Cois Year of publication: 2020 Journal: Applied Sciences DOI: HAL link: https://hal.science/hal-02891054v1 Analysis of fractional models physical consistency Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2018 Journal: Journal of Vibration and Control DOI: 10.1177/1077546315587177 HAL link: https://hal.science/hal-01709726v1 Lithium-ion batteries modeling: A simple fractional differentiation based model and its associated parameters estimation method Author(s): Jocelyn Sabatier, Junior Mbala Francisco, Franck Guillemard, Loïc Lavigne, Mathieu Moze, Mathieu Merveillaut Year of publication: 2018 Journal: Signal Processing DOI: 10.1016/j.sigpro.2014.06.008 HAL link: https://hal.science/hal-01719065v1 H2-norm of fractional transfer functions of implicit type Author(s): Rachid Malti, Mathieu Chevrié, Christophe Farges, Jocelyn Sabatier Year of publication: 2018 Journal: Communications in Nonlinear Science and Numerical Simulation DOI: 10.1016/j.cnsns.2015.02.015 HAL link: https://hal.science/hal-01709657v1 H 2 -norm computation of a class of implicit fractional transfer functions: application to approximation by integer order models Author(s): Mathieu Chevrié, Jocelyn Sabatier, Christophe Farges, Rachid Malti Year of publication: 2018 Journal: International Journal of Dynamics and Control DOI: 10.1007/s40435-015-0156-3 HAL link: https://hal.science/hal-01706235v1 Electrical Contact Resistance Estimation With Application to Electric Vehicle Charging Cable Author(s): Jocelyn Sabatier, Mathieu Chevrié, Christophe Farges, Franck Guillemard, Laetitia Pradere Year of publication: 2018 Journal: Journal of Dynamic Systems, Measurement, and Control DOI: 10.1115/1.4037531 HAL link: https://hal.science/hal-01709738v1 H2-norm for mesh optimization with application to electro-thermal modeling of an electric wire in automotive context Author(s): Christophe Farges, Mathieu Chevrié, Jocelyn Sabatier, Franck Guillemard, Laetitia Pradere Year of publication: 2018 Journal: Communications in Nonlinear Science and Numerical Simulation DOI: 10.1016/j.cnsns.2016.09.018 HAL link: https://hal.science/hal-01709719v1 Approximation of a fractional order model by an integer order model: a new approach taking into account approximation error as an uncertainty Author(s): Jocelyn Sabatier, Christophe Farges, Lamine Fadiga Year of publication: 2018 Journal: Journal of Vibration and Control DOI: 10.1177/1077546314566665 HAL link: https://hal.science/hal-01709683v1 CRONE control based anti-icing / deicing system for wind turbine blades Author(s): Jocelyn Sabatier, Patrick Lanusse, Benjamin Feytout, Serge Gracia Year of publication: 2018 Journal: Control Engineering Practice DOI: HAL link: https://hal.science/hal-01707561v1 Detection of Electric Contact Resistance Variations in Automotive Connectors Author(s): Christophe Farges, Mathieu Chevrié, Jocelyn Sabatier, Laetitia Pradere, Franck Guillemard Year of publication: 2018 Journal: IEEE Transactions on Industrial Electronics DOI: 10.1109/TIE.2017.2711514 HAL link: https://hal.science/hal-01709742v1 State variables and transients of fractional order differential systems Author(s): Jean-Claude Trigeassou, Nezha Maamri, Jocelyn Sabatier, Alain Oustaloup Year of publication: 2014 Journal: Computers & Mathematics with Applications DOI: 10.1016/j.camwa.2012.03.099 HAL link: https://hal.science/hal-00981831v1 Transients of fractional order integrator and derivatives Author(s): Jean-Claude Trigeassou, Nezha Maamri, Jocelyn Sabatier, Alain Oustaloup Year of publication: 2014 Journal: Signal, Image and Video Processing DOI: 10.1007/s11760-012-0332-2 HAL link: https://hal.science/hal-00981829v1 A Lyapunov approach to the stability of fractional differential equations Author(s): Jean-Claude Trigeassou, N. Maamri, Jocelyn Sabatier, Alain Oustaloup Year of publication: 2014 Journal: Signal Processing DOI: 10.1016/j.sigpro.2010.04.024 HAL link: https://hal.science/hal-00981826v1 An implementation solution for fractional partial differential equations Author(s): Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat, Jean-Michel Vinassa Year of publication: 2014 Journal: Mathematical Problems in Engineering DOI: 10.1155/2013/795651 HAL link: https://hal.science/hal-00950573v1 Lithium-ion batteries modelling involving fractional differentiation Author(s): Jocelyn Sabatier, Mathieu Merveillaut, Junior Mbala Francisco, Franck Guillemard Year of publication: 2014 Journal: Journal of Power Sources DOI: HAL link: https://hal.science/hal-00981833v1 Fractional Order Controller Design for a Flexible Link Manipulator Robot Author(s): Hadi Dalavari, Patrick Lanusse, Jocelyn Sabatier Year of publication: 2014 Journal: Asian Journal of Control DOI: HAL link: https://hal.science/hal-00952935v1 CRONE control : principles, extensions and applications Author(s): Alain Oustaloup, Patrick Lanusse, Jocelyn Sabatier, Pierre Melchior Year of publication: 2014 Journal: Journal of Applied Nonlinear Dynamics DOI: HAL link: https://hal.science/hal-00952933v1 Fractional Behavior of Partial Differential Equations whose coefficients are exponential function of the space variable Author(s): Jocelyn Sabatier, Huy Cuong Nguyen, Xavier Moreau, Alain Oustaloup Year of publication: 2014 Journal: Mathematical and Computer Modelling of Dynamical Systems DOI: 10.1080/13873954.2013.766805 HAL link: https://hal.science/hal-00939422v1 Robust CRONE design for a variable ratio planetary gearing in a variable speed wind turbine Author(s): Benjamin Feytout, Patrick Lanusse, Jocelyn Sabatier, Serge Gracia Year of publication: 2014 Journal: Asian Journal of Control DOI: HAL link: https://hal.science/hal-00952936v1 On observability and pseudo state estimation of fractional order systems Author(s): Jocelyn Sabatier, Christophe Farges, Mathieu Merveillaut, Ludovic Feneteau Year of publication: 2013 Journal: European Journal of Control DOI: 10.3166/ejc.18.260-271 HAL link: https://hal.science/hal-00787240v1 A stability test for non-commensurate fractional order systems Author(s): Jocelyn Sabatier, Christophe Farges, Jean-Claude Trigeassou Year of publication: 2013 Journal: Systems and Control Letters DOI: 10.1016/j.sysconle.2013.04.008 HAL link: https://hal.science/hal-00838778v1 Hinfinity analysis and control of commensurate fractional order systems Author(s): Christophe Farges, Lamine Fadiga, Jocelyn Sabatier Year of publication: 2013 Journal: Mechatronics DOI: 10.1016/j.mechatronics.2013.06.005 HAL link: https://hal.science/hal-00838800v1 On stability of commensurate fractional order systems Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2013 Journal: International journal of bifurcation and chaos in applied sciences and engineering DOI: 10.1142/S0218127412500848 HAL link: https://hal.science/hal-00787246v1 Fractional systems state space description: some wrong ideas and proposed solutions Author(s): Jocelyn Sabatier, Christophe Farges, Jean-Claude Trigeassou Year of publication: 2013 Journal: Journal of Vibration and Control DOI: 10.1177/1077546313481839 HAL link: https://hal.science/hal-00838815v1 Fractional Models for Thermal Modeling and Temperature Estimation of a Transistor Junction Author(s): Jocelyn Sabatier, H.C. Nguyen, Christophe Farges, Xavier Moreau, Franck Guillemard, Bernard Bavoux Year of publication: 2012 Journal: Advances in Difference Equations DOI: 10.1155/2011/687363 HAL link: https://hal.science/hal-00668779v1 PLC implementation of a crone controller Author(s): Patrick Lanusse, Jocelyn Sabatier, Valérie Pommier-Budinger Year of publication: 2012 Journal: Fractional Calculus and Applied Analysis DOI: 10.2478/s13540-011-0031-7 HAL link: https://hal.science/hal-00668458v1 Bode optimal loop shaping with CRONE compensator Author(s): Alfonso Banos, Joaquin Cervera, Patrick Lanusse, Jocelyn Sabatier Year of publication: 2012 Journal: Journal of Vibration and Control DOI: 10.1177/1077546310388002 HAL link: https://hal.science/hal-00668421v1 Ignition of a confined high explosive under low velocity impact Author(s): C. Gruau, D. Picart, R. Belmas, E. Bouton, F. Delmaire-Sizes, Jocelyn Sabatier, H. Trumel Year of publication: 2011 Journal: International Journal of Impact Engineering DOI: 10.1016/j.ijimpeng.2008.08.002 HAL link: https://hal.science/hal-00585291v1 Embedded Fractional Nonlinear Supercapacitor Model and Its Parametric Estimation Method Author(s): Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat, Jean-Michel Vinassa Year of publication: 2011 Journal: IEEE Transactions on Industrial Electronics DOI: 10.1109/TIE.2010.2076307 HAL link: https://hal.science/hal-00584803v1 Pseudo-state feedback stabilization of commensurate fractional order systems Author(s): Christophe Farges, Mathieu Moze, Jocelyn Sabatier Year of publication: 2010 Journal: Automatica DOI: 10.1016/j.automatica.2010.06.038 HAL link: https://hal.science/hal-00531790v1Book sections (5)
Génération d’hydrogène par hydrolyse en présence de magnésium Author(s): Manuel Legrée, Jean-Louis Bobet, Jocelyn Sabatier, Fabrice Mauvy Year of publication: 2023 Journal: DOI: HAL link: https://hal.science/hal-04155441v1 Hinfinity control of commensurate fractional order models Author(s): Jocelyn Sabatier, Christophe Farges, Lamine Fadiga Year of publication: 2018 Journal: DOI: 10.1007/978-94-017-9807-5 HAL link: https://hal.science/hal-01709616v1 Fractional Order Models Author(s): Jocelyn Sabatier, Christophe Farges, Alain Oustaloup Year of publication: 2018 Journal: DOI: 10.1007/978-94-017-9807-5 HAL link: https://hal.science/hal-01709622v1 Diagnostic de la résistance interne d'une batterie plomb-acide automobile par la mise en œuvre d'une méthode d'invalidation de modèle : application à l'estimation de la démarrabilité Author(s): Jocelyn Sabatier, Mikael Cugnet, Stéphane Laruelle, Sylvie Grugeon, Isabelle Chanteur, Bernard Sahut, Alain Oustaloup, Jean‐marie Tarascon Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00981835v1 A survey on the CRONE approach Author(s): Alain Oustaloup, Olivier Cois, Patrick Lanusse, Pierre Melchior, Xavier Moreau, Jocelyn Sabatier, Jean-Louis Thomas Year of publication: 2009 Journal: DOI: HAL link: https://hal.science/hal-00399591v1Patents (10)
BATTERIE COMPRENANT UNE PLURALITÉ DE CELLULE EN SÉRIE Author(s): Franck Guillemard, Mathieu Moze, Agnieszka Noury, J. Mbala Francisco, Jocelyn Sabatier, Loïc Lavigne Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01719097v1 Procédé de protection contre les sur-échauffements et/ou les surintensités d'un connecteur électrique Author(s): Mathieu Chevrié, Bernard Bavoux, Laetitia Pradere, Jocelyn Sabatier, Christophe Farges Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01709639v1 CARACTÉRISATION D’UNE CELLULE ÉLECTROCHIMIQUE DE BATTERIE EN VIEILLISSEMENT Author(s): Franck Guillemard, Mathieu Moze, Agnieszka Noury, J. Mbala Francisco, Jocelyn Sabatier, Loïc Lavigne Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01719094v1 Dispositif d'analyse pour une prise électrique propre à être connectée à une autre prise électrique Author(s): Laetitia Pradere, Franck Guillemard, Jocelyn Sabatier, Christophe Farges, Mathieu Chevrié Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01709669v1 DISPOSITIF DE DETERMINATION PREDICTIVE DINFORMATIONS DUTILISATION DAU MOINS UNE CELLULE DUNE BATTERIE MULTICELLULAIRE, EN PRESENCE DUNE SOLLICITATION EN PUISSANCE Author(s): Franck Guillemard, Denis Porcellato, K. Ouaksel, Cédric Nouillant, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00983949v1 ELECTRONIC DEVICE FOR PROTECTING AN ELECTRIC CONDUCTOR AND METHOD FOR CONTROLLING SUCH A DEVICE Author(s): Franck Guillemard, Bernard Bavoux, Huy Cuong Nguyen, C. Nocquet, G. Pavero, J. P. Cloup, Jocelyn Sabatier, Xavier Moreau Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00983945v1 DISPOSITIF DESTIMATION DE VARIABLE(S) DETAT DUNE CELLULE DUNE BATTERIE MULTICELLULAIRE, EN FONCTION AU MOINS DU COURANT QUI LA TRAVERSE Author(s): Franck Guillemard, Denis Porcellato, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00983947v1 Dispositif électronique de protection d'un conducteur électrique Author(s): Franck Guillemard, Bernard Bavoux, Huy Cuong Nguyen, C. Nocquet, G. Pavero, J. P. Cloup, Jocelyn Sabatier, Xavier Moreau Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00949718v1 Dispositif de détermination de grandeurs d'une batterie à cellules en série Author(s): Franck Guillemard, Cédric Nouillant, K. Ouaksel, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585456v1 Estimateurs avancés de SOC et SOH d'une batterie d'un véhicule, basés sur l'identification paramétrique d'un modèle de Randles simplifié par une excitation pilotée Author(s): Cédric Nouillant, K. Ouaksel, Franck Guillemard, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585458v1Conference proceedings (56)
Extension de la platitude aux systèmes fractionnaires {MIMO} : application à un système thermique Author(s): Stephane Victor, Pierre Melchior, Jocelyn Sabatier, Alain Oustaloup Year of publication: 2026 Journal: DOI: HAL link: https://hal.science/hal-00978490v1 Hydrogen on demand from Mg alloys and LPSO based composites Author(s): Manuel Legrée, Jocelyn Sabatier, Fabrice Mauvy, Jean-Louis Bobet Year of publication: 2024 Journal: DOI: HAL link: https://hal.science/hal-04574603v1 CRONE Observer of Nonlinear SISO Systems Author(s): Patrick Lanusse, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2024 Journal: DOI: 10.1115/DETC2007-34798 HAL link: https://hal.science/hal-04649354v1 Development of functionalized phosphate materials for extrusion-based 3D-printing Author(s): Simon Kaser, Mohammed Reda Zaki, Clément Strutynski, Silvia Santagneli, Dominique Bernard, Matthieu Faessel, Jocelyn Sabatier, Marc Dussauze, Sandra Messaddeq, Sylvain Danto, Younes Messaddeq, Thierry Cardinal Year of publication: 2024 Journal: DOI: HAL link: https://hal.science/hal-04574926v1 Hydrogen generation from waste Mg alloys / Light mobility Author(s): Serge Al Bacha, Jocelyn Sabatier, Fabrice Mauvy, Isabelle Aubert, Arnaud Desmedt, Jean-Louis Bobet Year of publication: 2024 Journal: DOI: HAL link: https://hal.science/hal-04583622v1 BMS-oriented model for Li-ion batteries with mixed SiOx/graphite anodes Author(s): Sergio Rodriguez Cadavid, Niklass Bless, Joerg Poehler, Jocelyn Sabatier, Patrick Lanusse, Christophe Farges Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02891110v1 New magnesium rich alloys: structure, magnetic and H sorption properties: some words about the "light mobility Author(s): Eliane Al Asmar, Serge Al Bacha, Etienne Gaudin, Aubert Isabelle, Jocelyn Sabatier, Fabrice Mauvy, Jean-Louis Bobet Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02501834v1 Distributed time delay systems for power law type long memory behaviors modelling Author(s): Jocelyn Sabatier Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02501831v1 Robust control of a tethered kite for ship propulsion Author(s): Baptiste Cadalen, Patrick Lanusse, Jocelyn Sabatier, Griffon Fabien, Yves Parlier Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02891058v1 A device for hydrogen production on demand with application to bike electrical assistance: description, production characterization and basic control Author(s): Jocelyn Sabatier, Fabrice Mauvy, Jean-Louis Bobet, Damien Mohedano, Matthieu Faessel, Frédéric Bos Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02503489v1 A new device for hydrogen production on demand with application to electric assist bike: description, production characteristics and basic control Author(s): Jocelyn Sabatier, Fabrice Mauvy, Jean-Louis Bobet, Damien Mohedano, Matthieu Faessel, Frederic Bos Year of publication: 2020 Journal: DOI: 10.5220/0006846304210429 HAL link: https://hal.science/hal-02875391v1 Design of a Model-based Fractional-Order Controller for Optimal Charging of Batteries Author(s): Sara Mohajer, Patrick Lanusse, Jocelyn Sabatier, Olivier Cois Year of publication: 2020 Journal: DOI: HAL link: https://hal.science/hal-02503492v1 On stability of fractional order systems Author(s): Jocelyn Sabatier, Mathieu Moze, Christophe Farges Year of publication: 2019 Journal: DOI: HAL link: https://hal.science/hal-02300807v1 H2-norm of a class of fractional transfer functions suited for modeling diffusive phenomena Author(s): Mathieu Chevrié, Jocelyn Sabatier, Christophe Farges, Rachid Malti Year of publication: 2018 Journal: DOI: 10.1109/ACC.2015.7171059 HAL link: https://hal.science/hal-01709654v1 Approche non entière pour la modélisation électrothermique d'un fil électrique et conception d'une loi de commande pour sa protection thermique grâce à un MOSFET piloté Author(s): Mathieu Chevrié, Jocelyn Sabatier, Christophe Farges, Bernard Bavoux, Franck Guillemard Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01709567v1 Lithium-ion Batteries Aging Motinoring Througth Open Circuit Voltage (OCV) Curve Modelling and Adjustment Author(s): Loïc Lavigne, Jocelyn Sabatier, Junior Mbala Francisco, Franck Guillemard, Agnieszka Noury Year of publication: 2018 Journal: DOI: 10.5220/0005961400570067 HAL link: https://hal.science/hal-01719072v1 Misconceptions in using Riemann-Liouville’s and Caputo’s definitions for the description and initialization of fractional partial differential equations Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2018 Journal: DOI: 10.1016/j.ifacol.2017.08.1421 HAL link: https://hal.science/hal-01709735v1 A Fractional-Order Electro-Thermal Aging Model for Lifetime Enhancement of Lithium-ion Batteries Author(s): Sara Mohajer, Jocelyn Sabatier, Patrick Lanusse, Olivier Cois Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01707613v1 A solution for ice accretion detection on wind turbine blades Author(s): Jocelyn Sabatier, Patrick Lanusse, Benjamin Feytout, Serge Gracia Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01707606v1 Finite length wire dynamical modeling for automotive applications using H2-norm based approximation of a fractional model Author(s): Mathieu Chevrié, Christophe Farges, Jocelyn Sabatier, Franck Guillemard, Laetitia Pradere Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01709713v1 Long memory models: a first solution to the infinite energy storage ability of linear time-invariant fractional models Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2018 Journal: DOI: 10.3182/20140824-6-ZA-1003.01692 HAL link: https://hal.science/hal-01709584v1 CRONE control of a heating system to improve wind turbine operation during frost episode Author(s): Jocelyn Sabatier, Patrick Lanusse, Benjamin Feytout, Serge Gracia Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01707604v1 Automatisation de l’optimisation de régulateurs CRONE et application à la commande d’une éolienne Author(s): Patrick Lanusse, Mariely Lopes, Benjamin Feytout, Jocelyn Sabatier, Serge Gracia Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01707619v1 Modeling and control of a tethered kite in dynamic flight Author(s): Baptiste Cadalen, Patrick Lanusse, Jocelyn Sabatier, Fabien Griffon, Yves Parlier Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01707611v1 Lp-norm boundedness conditions of stable Davidson-Cole filters Author(s): Rachid Malti, Mathieu Chevrié, Christophe Farges, Jocelyn Sabatier Year of publication: 2018 Journal: DOI: 10.1109/ICFDA.2014.6967390 HAL link: https://hal.science/hal-01709572v1 Contact resistance estimation of vehicle charging connector Author(s): Jocelyn Sabatier, Mathieu Chevrié, Christophe Farges, Franck Guillemard, Laetitia Pradere Year of publication: 2018 Journal: DOI: HAL link: https://hal.science/hal-01709886v1 About fractional models physical consistency: Case of implicit differentiation based fractional order models Author(s): Christophe Farges, Jocelyn Sabatier Year of publication: 2018 Journal: DOI: 10.1109/CDC.2015.7402513 HAL link: https://hal.science/hal-01709662v1 H2-norm of fractional transfer functions of implicit type of the first kind Author(s): Mathieu Chevrié, Rachid Malti, Christophe Farges, Jocelyn Sabatier Year of publication: 2014 Journal: DOI: 10.3182/20140824-6-ZA-1003.01458 HAL link: https://hal.science/hal-01063022v1 Electrosorption phenomena taken into account in a fractional model of supercapacitor Author(s): Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat, Jean-Michel Vinassa Year of publication: 2014 Journal: DOI: HAL link: https://hal.science/hal-00988884v1 De la modélisation électrothermique des faisceaux aux MOS intelligents Author(s): H.C. Nguyen, Jocelyn Sabatier, Xavier Moreau, Franck Guillemard, Bernard Bavoux Year of publication: 2013 Journal: DOI: HAL link: https://hal.science/hal-00797827v1 On state space description of fractional systems Author(s): Jocelyn Sabatier, Christophe Farges, Jean-Claude Trigeassou Year of publication: 2013 Journal: DOI: HAL link: https://hal.science/hal-00787249v1 On partial differential equations that exhibit fractional behaviors Author(s): Jocelyn Sabatier, H.C. Nguyen, Xavier Moreau, Alain Oustaloup Year of publication: 2013 Journal: DOI: HAL link: https://hal.science/hal-00797594v1 Hinfinity state feedback control of commensurate fractional order systems Author(s): Lamine Fadiga, Jocelyn Sabatier, Christophe Farges Year of publication: 2013 Journal: DOI: 10.3182/20130204-3-FR-4032.00200 HAL link: https://hal.science/hal-00787254v1 Hinfinity output feedback control of commensurate fractional order systems Author(s): Lamine Fadiga, Christophe Farges, Jocelyn Sabatier, Kévin Santugini-Repiquet Year of publication: 2013 Journal: DOI: HAL link: https://hal.science/hal-00838790v1 Calcul de la norme Hinfini d'un système à dérivées non entières commensurable Author(s): Lamine Fadiga, Jocelyn Sabatier, Christophe Farges, Mathieu Moze Year of publication: 2012 Journal: DOI: HAL link: https://hal.science/hal-00741597v1 Transistor thermal fractional modeling for junction temperature estimation Author(s): Jocelyn Sabatier, Christophe Farges, H.C. Nguyen, Xavier Moreau, Jean-Yves Delétage Year of publication: 2012 Journal: DOI: 10.3182/20110828-6-IT-1002.00780 HAL link: https://hal.science/hal-00668926v1 Robust stability analysis and stabilization of fractional order polytopic systems Author(s): Christophe Farges, Jocelyn Sabatier, Mathieu Moze Year of publication: 2012 Journal: DOI: 10.3182/20110828-6-IT-1002.00779 HAL link: https://hal.science/hal-00741593v1 On computation of Hinfinity norm for commensurate fractional order systems Author(s): Lamine Fadiga, Christophe Farges, Jocelyn Sabatier, Mathieu Moze Year of publication: 2012 Journal: DOI: 10.1109/CDC.2011.6160942 HAL link: https://hal.science/hal-00741595v1 A solution for lead-acid battery global state estimation Author(s): Mikael Cugnet, Jocelyn Sabatier, S. Laruelle, S. Grugeon, I. Chanteur, B. Sahut, Alain Oustaloup, J.-M. Tarascon Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585443v1 On observability of Fractional Order Systems Author(s): Jocelyn Sabatier, Mathieu Merveillaut, L. Feneteau, Alain Oustaloup Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585437v1 Modélisation non entière et non linéaire des supercapacités et procédure d'estimation paramétrique associée Author(s): Nicolas Bertrand, Jocelyn Sabatier, Jean-Michel Vinassa, Olivier Briat Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585452v1 Fractional order model validation for the lead-acid battery resistance estimation: application to cranking capability Author(s): Mikael Cugnet, Jocelyn Sabatier, S. Laruelle, S. Grugeon, B. Sahut, Alain Oustaloup, J.-M. Tarascon Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585436v1 A Model of the Lungs Based on Fractal Geometrical and Structural Properties Author(s): C. Ionescu, Alain Oustaloup, François Levron, Pierre Melchior, Jocelyn Sabatier, R.M.C de Keyser Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00584687v1 Supercapacitor model for efficient energy management in micro-hybrid vehicles applications Author(s): Nicolas Bertrand, Olivier Briat, Jocelyn Sabatier, Jean-Michel Vinassa Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00584821v1 Méthode d'invalidation appliquée à un modèle à dérivées non entières d'une batterie au plomb pour l'estimation de sa résistance interne: application à l'estimation de la démarrabilité Author(s): Mikael Cugnet, Jocelyn Sabatier, S. Laruelle, S. Grugeon, B. Sahut, Alain Oustaloup, J.-M. Tarascon Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00585454v1 A new non-linear supercapacitor embedded model and its online time identification method Author(s): Nicolas Bertrand, Jocelyn Sabatier, Jean-Michel Vinassa, Olivier Briat Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00584824v1 Identification par modèles non entiers pour la poursuite de trajectoire par platitude : application à un barreau thermique Author(s): Stéphane Victor, Pierre Melchior, Rachid R. Malti, Jocelyn Sabatier, Alain Oustaloup Year of publication: 2011 Journal: DOI: HAL link: https://hal.science/hal-00584743v1 A stability test for non commensurate fractional order systems Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2010 Journal: DOI: HAL link: https://hal.science/hal-00532910v1 On stability of commensurate fractional systems Author(s): Jocelyn Sabatier, Christophe Farges Year of publication: 2010 Journal: DOI: HAL link: https://hal.science/hal-00532908v1 Stabilisation par retour de pseudo-état des systèmes non entiers commensurables Author(s): Christophe Farges, Jocelyn Sabatier, Mathieu Moze Year of publication: 2010 Journal: DOI: HAL link: https://hal.science/hal-00531784v1 Thermal modeling and identification of an aluminum rod using fractional calculus Author(s): Rachid R. Malti, Jocelyn Sabatier, Hüseyin Akçay Year of publication: 2009 Journal: DOI: HAL link: https://hal.science/hal-00399497v1 An ultracapacitor non-linear fractional model Author(s): Nicolas Bertrand, Jocelyn Sabatier, Olivier Briat, Jean-Michel Vinassa Year of publication: 2009 Journal: DOI: HAL link: https://hal.science/hal-00401676v1 Pseudo state feedback stabilization of commensurate fractional order systems Author(s): Christophe Farges, Mathieu Moze, Jocelyn Sabatier Year of publication: 2009 Journal: DOI: HAL link: https://hal.science/hal-00368392v1 On stability of fractional order systems Author(s): Jocelyn Sabatier, Mathieu Moze, Christophe Farges Year of publication: 2008 Journal: DOI: HAL link: https://hal.science/hal-00322949v1 CRONE Observer of Nonlinear SISO Systems Author(s): Patrick Lanusse, Jocelyn Sabatier, Mathieu Merveillaut Year of publication: 2008 Journal: DOI: HAL link: https://hal.science/hal-00204553v1 An overview of the CRONE approach in system analysis, modeling and identification, observation and control Author(s): Alain Oustaloup, Jocelyn Sabatier, Patrick Lanusse, Rachid R. Malti, Pierre Melchior, Xavier Moreau, Mathieu Moze Year of publication: 2008 Journal: DOI: HAL link: https://hal.science/hal-00326415v1Send a email to Jocelyn SABATIER :
