G. Bibliographie, P. Abba, and . Sardain, Modélisation des frottements dans les éléments de transmission d'un axe de robot en vue de son identification, Mécanique and Industries, vol.4, pp.391-396, 2003.

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1964.
DOI : 10.1119/1.1972842

A. and J. Swevers, Characterization of friction force dynamics, Control Systems, IEEE, vol.28, issue.6, pp.64-81, 2008.

T. Alban and H. Janocha, Dynamic calibration of industrial robots with inertial measurement systems, European Control Conference. ECC'99, 1999.

G. Alici and B. Shirinzadeh, Enhanced stiffness modeling, identification and characterization for robot manipulators, IEEE Transactions on Robotics, vol.21, issue.4, pp.554-564, 2005.
DOI : 10.1109/TRO.2004.842347

P. Armstrong-helouvry, C. Dupont, and . Canudas-de-wit, A survey of models, analysis tools and compensation methods for the control of machines with friction, Automatica, vol.30, issue.7, pp.1083-1138, 1994.
DOI : 10.1016/0005-1098(94)90209-7

J. Astrom and C. Canudas-de-wit, Revisiting the LuGre friction model, IEEE Control Systems, vol.28, issue.6, pp.101-114, 2008.
DOI : 10.1109/MCS.2008.929425
URL : https://hal.archives-ouvertes.fr/hal-00394988

. Béarée, Prise en compte des phénomènes vibratoires dans la génèration de commande des machinesoutils à dynamique élevée, p.81, 2005.

R. Béarée and A. Olabi, Dissociated jerk-limited trajectory applied to time-varying vibration reduction, Robotics and Computer-Integrated Manufacturing, vol.29, issue.2, pp.444-453, 2013.
DOI : 10.1016/j.rcim.2012.09.014

P. Béarée, P. Barre, J. Borne, and . Hautier, Analyse d'une loi de mouvement en jerk sur le comportement vibratoire d'une structure m??canique. Application ?? la commande d'axe en translation, Journal Europ??en des Syst??mes Automatis??s, vol.38, issue.5, pp.475-496, 2004.
DOI : 10.3166/jesa.38.475-496

P. Béarée, J. P. Barre, and . Hautier, VIBRATION REDUCTION ABILITIES OF SOME JERK-CONTROLLED MOVEMENT LAWS FOR INDUSTRIAL MACHINES, Proceeding de 16th IFAC World Congress, pp.532-537, 2005.
DOI : 10.3182/20050703-6-CZ-1902.00533

P. Barre, J. Charley, and J. Hautier, The use of modal analysis to improve the axis control. Mécanique industrielle et matériaux, pp.19-23, 1997.

L. Bascetta and P. Rocco, Modelling Flexible Manipulators With Motors at the Joints, Mathematical and Computer Modelling of Dynamical Systems, vol.8, issue.2, pp.157-183, 2002.
DOI : 10.1076/mcmd.8.2.157.8593

M. Basseville and I. V. Nikiforov, Detection of abrupt changes : theory and application. Prentice-Hall information and system sciences series, p.70, 1993.
URL : https://hal.archives-ouvertes.fr/hal-00008518

L. Belkoura, J. Richard, and M. Fliess, Parameters estimation of systems with delayed and structured entries, Automatica, vol.45, issue.5, pp.1117-1125, 2009.
DOI : 10.1016/j.automatica.2008.12.026
URL : https://hal.archives-ouvertes.fr/inria-00343801

L. Belkoura, T. Floquet, K. Ibn-taarit, W. Perruquetti, and Y. Orlov, Estimation problems for a class of impulsive systems, International Journal of Robust and Nonlinear Control, vol.48, issue.1, pp.1066-1079, 2010.
DOI : 10.1002/rnc.1621
URL : https://hal.archives-ouvertes.fr/inria-00504941

E. Berglund and G. E. Hovland, Automatic elasticity tuning of industrial robot manipulators, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.5091-5096, 2000.
DOI : 10.1109/CDC.2001.914757

L. Biagiotti and C. Melchiorri, FIR filters for online trajectory planning with time- and frequency-domain specifications, Control Engineering Practice, vol.20, issue.12, pp.1385-1399, 2012.
DOI : 10.1016/j.conengprac.2012.08.005

A. C. Bittencourt, E. Wernholt, S. Sander-tavallaey, and T. Brogardh, An extended friction model to capture load and temperature effects in robot joints, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.6161-6167, 2010.
DOI : 10.1109/IROS.2010.5650358

S. Björklund, A Random Model for Micro-Slip Between Nominally Flat Surfaces, Journal of Tribology, vol.119, issue.4, p.96, 1997.
DOI : 10.1115/1.2833877

A. Bliman and M. Sorine, Friction modelling by hysteresis operators, application to dahl, sticktion, and stribeck effects, Proc. Conf. Models of Hysteresis, p.33, 1991.

B. Bona and M. Indri, Friction Compensation in Robotics: an Overview, Proceedings of the 44th IEEE Conference on Decision and Control, pp.4360-4367, 2005.
DOI : 10.1109/CDC.2005.1582848

W. Book and K. Obergfell, Practical models for practical flexible arms, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), pp.835-842, 2000.
DOI : 10.1109/ROBOT.2000.844154

P. Borne, G. Dauphin-tanguy, J. P. Richard, F. Rotella, and L. Zambettakis, Analyse et régulation des processus industriels : régulation continue, Analyse et régulation des processus industriels. Éd. Technip, p.42, 1993.

T. Brogårdh, Present and future robot control development???An industrial perspective, Annual Reviews in Control, vol.31, issue.1, pp.69-79, 2007.
DOI : 10.1016/j.arcontrol.2007.01.002

T. Brogårdh, Robot Control Overview : An Industrial Perspective. Modeling, Identification and Control, pp.167-180, 2009.

R. Campa and H. De-la-torre, Pose control of robot manipulators using different orientation representations: A comparative review, 2009 American Control Conference, pp.2855-2860, 2009.
DOI : 10.1109/ACC.2009.5160254

R. Campa, K. Camarillo, and L. Arias, Kinematic Modeling and Control of Robot Manipulators via Unit Quaternions: Application to a Spherical Wrist, Proceedings of the 45th IEEE Conference on Decision and Control, pp.6474-6479, 2006.
DOI : 10.1109/CDC.2006.377155

C. Canudas-de-wit, H. Olsson, K. J. Astrom, and P. Lischinsky, A new model for control of systems with friction. Automatic Control, IEEE Transactions on, vol.40, issue.3, pp.419-425, 1995.

F. Colas, Synthèse et réglage de lois de commande adaptées aux axes souples en translation -Application aux robots cartésiens 3 axes, pp.75-143, 2007.

L. Conrad, P. Shiakolas, and T. Yih, Robotic calibration issues : Accuracy, repetability and calibration, Proceedings of the 8th Mediterranean Conference on Control Automation (MED), p.13, 2000.

J. J. Craig, Introduction to Robotics : Mechanics and Control. Addison-Wesley series in electrical and computer engineering : control engineering. Pearson Education, Incorporated, 2005.

P. R. Dahl, Measurement of solid friction parameters of ball bearings Engineering Science Operations -The Aerospace Corporation -El Segundo, Calif, pp.90245-90277

P. R. Dahl, A solid friction model The Aerospace Corporation, 1968.

B. Novel, C. Boussard, M. Fliess, O. Hamzaoui, H. Mounier et al., Commande sans modèle de la vitesse longitudinale d'un véhicule électrique, Sixième Conférence Internationale Francophone d'Automatique, p.45, 2010.

D. Luca, Feedforward/feedback laws for the control of flexible robots, Robotics and Automation Proceedings. ICRA '00. IEEE International Conference on, pp.233-240, 2000.

D. Luca and F. Flacco, Dynamic gravity cancellation in robots with flexible transmissions, Decision and Control (CDC) 49th IEEE Conference on, pp.288-295, 2010.

D. Luca and B. Siciliano, Closed-form dynamic model of planar multilink lightweight robots. Systems, Man and Cybernetics, IEEE Transactions on, vol.21, issue.4, pp.826-839, 1991.

D. Luca, R. Farina, and P. Lucibello, On the control of robots with visco-elastic joints, Robotics and Automation, 2005. ICRA 2005. Proceedings of the 2005 IEEE International Conference on, pp.4297-4302, 2005.

D. Miras, S. Riachy, M. Fliess, C. Join, and S. Bonnet, Vers une commande sans modèle d'un palier magnétique ? first steps towards a model-free control of a magnetic bearing, Septième Conférence Internationale Francophone d'Automatique, p.44

P. Destuynder and F. Santi, Analyse et contrôle numérique du signal -Calcul scientifique -Niveau C. Technosup -ELLIPSES, 2003.

F. H. Dhaouadi, P. S. Ghorbel, and . Gandhi, A new dynamic model of hysteresis in harmonic drives. Industrial Electronics, IEEE Transactions on, vol.50, issue.6, pp.1165-1171, 2003.

. H. Dietze, J. P. Hermes, and . Salle, VIII + 136 S. m. Abb, Functional Analysis and Time Optimal Control. (Mathematics in Science and Engineering, vol.56, issue.52, p.126, 1969.

K. Dwivedy and P. Eberhard, Dynamic analysis of flexible manipulators, a literature review. Mechanism and Machine Theory, pp.749-777, 2006.

M. R. Elhami and D. J. Brookfield, Sequential identification of coulomb and viscous friction in robot drives, Automatica, vol.33, issue.3, pp.393-401, 1997.
DOI : 10.1016/S0005-1098(96)00183-5

M. Enqvist, Some Results on Linear Models of Nonlinear Systems, Linköpings universitet, 2003.

M. Fliess, Some basic structural properties of generalized linear systems, Systems & Control Letters, vol.15, issue.5, pp.391-396, 1990.
DOI : 10.1016/0167-6911(90)90062-Y

M. Fliess, Analyse non standard du bruit, Comptes Rendus Mathematique, vol.342, issue.10, pp.797-802, 2006.
DOI : 10.1016/j.crma.2006.02.037
URL : https://hal.archives-ouvertes.fr/inria-00001134

M. Fliess and C. Join, MODEL-FREE CONTROL AND INTELLIGENT PID CONTROLLERS: TOWARDS A POSSIBLE TRIVIALIZATION OF NONLINEAR CONTROL?, 15th IFAC Symposium on System Identification, p.44, 2009.
DOI : 10.3182/20090706-3-FR-2004.00256
URL : https://hal.archives-ouvertes.fr/inria-00372325

M. Fliess, J. Lévine, and P. Rouchon, Flatness and defect of non-linear systems: introductory theory and examples, International Journal of Control, vol.4, issue.6, pp.1327-1361, 1995.
DOI : 10.1109/9.73561

M. Fliess, C. Join, and H. Sira-ramirez, Robust residual generation for linear fault diagnosis: an algebraic setting with examples, International Journal of Control, vol.34, issue.14, pp.1223-1242, 2004.
DOI : 10.1080/002071704200024374

M. Fliess, C. Join, and M. Mboup, Algebraic change-point detection, Applicable Algebra in Engineering, Communication and Computing, pp.131-143, 2010.
DOI : 10.1007/s00200-010-0119-z
URL : https://hal.archives-ouvertes.fr/inria-00439226

D. Foata and J. Franchi, Calcul des probabilités. Sciences Sup. Dunod, 2012 -3ème edition

J. Funda, R. H. Taylor, and R. P. Paul, On homogeneous transforms, quaternions, and computational efficiency Robotics and Automation, IEEE Transactions on, vol.6, issue.3, pp.382-388, 1990.
DOI : 10.1109/70.56658

Y. Fung and P. Tong, Classical and Computational Solid Mechanics Advanced series in engineering science, World Scientific, 2001.

H. Garnier and L. Wang, Identification of Continuous-time Models from Sampled Data Advances in Industrial Control Series, 2008.

A. Gasparetto and V. Zanotto, A technique for time-jerk optimal planning of robot trajectories, Robotics and Computer-Integrated Manufacturing, vol.24, issue.3, pp.415-426, 2008.
DOI : 10.1016/j.rcim.2007.04.001

M. Gautier and W. Khalil, Exciting trajectories for the identification of base inertial parameters of robots, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, pp.494-499, 1991.
DOI : 10.1109/CDC.1991.261353

M. Gautier and P. Poignet, Identification en Boucle Fermée par Modèle Inverse des Paramètres Physiques de Systèmes Mécatroniques, Journal Européen des Systèmes Automatisés, vol.36, issue.3 103, pp.465-480, 2002.

A. Gensior, J. Weber, J. Rudolph, and H. Guldner, Algebraic Parameter Identification and Asymptotic Estimation of the Load of a Boost Converter, IEEE Transactions on Industrial Electronics, vol.55, issue.9, pp.3352-3360, 2008.
DOI : 10.1109/TIE.2008.928102

V. Gerat, Speed reducer of the cycloidal type for robots and other industrial manipulators. Number Patent, pp.15-95, 1994.

H. Ghorbel, A. Alpeter, and P. S. Gandhi, On the Kinematic Error in Harmonic Drive Gears, Journal of Mechanical Design, vol.123, issue.1, pp.90-97, 2001.
DOI : 10.1115/1.1334379

V. Graichen, M. Hagenmeyer, and . Zeitz, A new approach to inversion-based feedforward control design for nonlinear systems, Automatica, vol.41, issue.12, pp.412033-2041, 2005.
DOI : 10.1016/j.automatica.2005.06.008

H. Grote and E. K. Antonsson, Springer Handbook of Mechanical Engineering Handbook of Mechanical Engineering, 2009.

P. Hamon, M. Gautier, and P. Garrec, Identification dynamique de robots avec un modèle de frottement sec fonction de la charge et de la vitesse, Sixième Conference Internationale Francophone d'Automatique, p.154, 2010.

P. Hamon, M. Gautier, and P. Garrec, New dry friction model with load- and velocity-dependence and dynamic identification of multi-DOF robots, 2011 IEEE International Conference on Robotics and Automation, pp.1077-1084, 2011.
DOI : 10.1109/ICRA.2011.5980126
URL : https://hal.archives-ouvertes.fr/cea-01182466

. Hardeman, Modelling and identification of industrial robots including drive and joint flexibilities, 0112.

T. Hardeman, R. G. Aarts, and J. B. Jonker, A finite element formulation for dynamic parameter identification of robot manipulators, Multibody System Dynamics, vol.10, issue.5, pp.21-35, 2006.
DOI : 10.1007/s11044-006-9010-x

M. R. Hatch, Vibration Simulation Using MATLAB and ANSYS, 2010.
DOI : 10.1201/9781420035759

M. Hayes, Statistical Digital Signal Processing and Modeling, 1996.

G. E. Hovland, E. Berglund, and O. J. Sordalen, Identification of joint elasticity of industrial robots, Experimental Robotics VI, pp.455-464, 2000.
DOI : 10.1007/BFb0119423

I. Taarit, Contribution à l'identification des systèmes à retards et d'une classe de systèmes hybrides, p.38, 2010.

K. I. Taarit, L. Belkoura, M. Ksouri, and J. Richard, A fast identification algorithm for systems with delayed inputs, International Journal of Systems Science, vol.342, issue.3, pp.449-456, 2011.
DOI : 10.1080/00207720802017834
URL : https://hal.archives-ouvertes.fr/inria-00437377

. Iso, Manipulating industrial robots -Performance criteria and related test methods (ISO 9283) International Standards Organization, 1998.

Z. Jamaludin, H. Van-brussel, and J. Swevers, Quadrant glitch compensation using friction model-based feedforward and an inverse-model-based disturbance observer, 2008 10th IEEE International Workshop on Advanced Motion Control, pp.212-217, 2008.
DOI : 10.1109/AMC.2008.4516068

. Janczak, Identification of Nonlinear Systems Using Neural Networks and Polynomial Models : A Block-Oriented Approach, Lecture Notes in Control and Information Sciences, vol.310, 2005.
DOI : 10.1007/b98334

K. Johanastrom and C. Canudas-de-wit, Revisiting the lugre friction model, Control Systems IEEE, vol.28, issue.6, pp.101-114, 2008.

. Jonker, A Finite Element Dynamic Analysis of Flexible Manipulators, The International Journal of Robotics Research, vol.108, issue.3, pp.59-74, 1920.
DOI : 10.1177/027836499000900404

. Jonker, Linearization of dynamic equations of flexible mechanisms???a finite element approach, International Journal for Numerical Methods in Engineering, vol.31, issue.7, pp.311375-1392, 1991.
DOI : 10.1002/nme.1620310710

E. Kalman and R. S. Bucy, New Results in Linear Filtering and Prediction Theory, Journal of Basic Engineering, vol.83, issue.1, pp.95-107, 1961.
DOI : 10.1115/1.3658902

R. E. Kalman, P. L. Falb, and M. A. Arbib, Topics in mathematical system theory. International series in pure and applied mathematics, p.42, 1969.

T. R. Kane and D. A. Levinson, Dynamics : Theory and Applications. McGraw-Hill Series in Mechanical Engineering, 1985.

C. Kang, On the derivative constraints of input shaping control, Journal of Mechanical Science and Technology, vol.315, issue.3, pp.549-554, 2011.
DOI : 10.1007/s12206-010-1205-7

M. R. Kermani, R. V. Patel, and M. Moallem, Friction identification and compensation in robotic manipulators. Instrumentation and Measurement, IEEE Transactions on, vol.56, issue.6, pp.2346-2353, 2007.

W. Khalil, Commande des robots manipulateurs. IC2 : Série Systèmes automatisés, 2002.

W. Khalil and E. Dombre, Modélisation, identification et commande des robots. Collection robotique, 1999.

W. Khalil and M. Gautier, Modeling of mechanical systems with lumped elasticity, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), pp.3964-3969, 2000.
DOI : 10.1109/ROBOT.2000.845349

W. Khalil and J. Kleinfinger, A new geometric notation for open and closed-loop robots, Proceedings. 1986 IEEE International Conference on Robotics and Automation, pp.1174-1179, 1986.
DOI : 10.1109/ROBOT.1986.1087552

O. Khatib, P. Thaulad, T. Yoshikawa, and J. Park, Torque-position transformer for task control of position controlled robots, 2008 IEEE International Conference on Robotics and Automation, pp.1729-1734, 2008.
DOI : 10.1109/ROBOT.2008.4543450

M. Ksouri and P. Borne, La commande par calculateur : application aux procédés industriels : avec 100 exercices et problèmes résolus. Collection Sciences et technologies, 1999.

J. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions, SIAM Journal on Optimization, vol.9, issue.1, pp.112-147, 1998.
DOI : 10.1137/S1052623496303470

I. D. Landau, Identification et commande des systèmes. Traité des nouvelles technologies. Série Automatique, p.42, 1993.

I. D. Landaun and A. Besançon-voda, Identification des systèmes. IC2 : Série Systèmes automatisés, p.39, 2001.

F. Lange and G. Hirzinger, Learning accurate path control of industrial robots with joint elasticity, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C), pp.2084-2089, 1999.
DOI : 10.1109/ROBOT.1999.770414

M. Lesser, Analysis of Complex Nonlinear Mechanical Systems : A Computer Algebra Assisted Approach World scientific series on nonlinear science. Series A, World Scientific, 1995.

H. Li, Z. Jia-xiu, and . Pi-xuan, Research on modeling and dynamics of flexible manipulators, Machine Learning and Cybernetics, 2006 International Conference on, pp.840-845, 2006.

J. G. Linden, T. Larkowski, and K. J. Burnham, Algorithms for recursive/semi-recursive bias-compensating least squares system identification within the errors-in-variables framework, International Journal of Control, vol.44, issue.11, pp.1625-1643, 2012.
DOI : 10.1002/acs.4480030303

D. Liu, O. Gibaru, and W. Perruquetti, Error analysis of Jacobi derivative estimators for noisy signals, Numerical Algorithms, vol.21, issue.12, pp.53-83, 2011.
DOI : 10.1007/s11075-011-9447-8
URL : https://hal.archives-ouvertes.fr/inria-00573270

D. Liu, O. Gibaru, and W. Perruquetti, Differentiation by integration with Jacobi polynomials, Journal of Computational and Applied Mathematics, vol.235, issue.9, pp.3015-3032, 2011.
DOI : 10.1016/j.cam.2010.12.023
URL : https://hal.archives-ouvertes.fr/inria-00550160

L. Ljung, Identification for control: simple process models, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., pp.4652-4657, 2002.
DOI : 10.1109/CDC.2002.1185112

L. Ljung, Recursive identification algorithms. Circuits, Systems and Signal Processing, pp.57-68, 2002.

L. Ljung and T. Söderström, Theory and practice of recursive identification series in signal processing, optimization, and control, p.42, 1985.

H. Maas, Dynamic photogrammetric calibration of industrial robots, Proc. SPIE Videometrics V, pp.106-112, 1997.

J. M. Martins, Z. Mohamed, M. O. Tokhi, J. Sa-da-costa, and M. A. Botto, Approaches for dynamic modelling of flexible manipulator systems, IEE Proceedings - Control Theory and Applications, vol.150, issue.4, pp.401-411, 2003.
DOI : 10.1049/ip-cta:20030496

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.439-467, 2009.
DOI : 10.1007/s11075-008-9236-1
URL : https://hal.archives-ouvertes.fr/inria-00319240

M. W. Mehrez and A. , Effect of the joint inertia on selection of under-actuated control algorithm for flexible-link manipulators. Mechanism and Machine Theory, pp.967-980, 2010.

M. Mensler, Analyse et étude comparative de méthodes didentification des systèmes à représentation continue. Développement dune boîte à outils logicielle, p.39, 1999.

J. Moberg, S. Ohr, and . Gunnarsson, A Benchmark Problem for Robust Control of a Multivariable Nonlinear Flexible Manipulator, Proc. 17th IFAC World Congress, pp.1206-1211, 2008.
DOI : 10.3182/20080706-5-KR-1001.00208

. Moheimani, Mechatronic systems, Control Engineering Practice, vol.15, issue.3, 2004.
DOI : 10.1016/j.conengprac.2006.08.006

C. Abdouramane-moussa-ali, F. Join, and . Hamelin, Diagnostic des syst??mes dynamiques lin??aires sans mod??le explicite, Journal Europ??en des Syst??mes Automatis??s, vol.45, issue.4-6, pp.339-362, 1945.
DOI : 10.3166/jesa.45.339-362

M. Y. Bashir and . Nouri, Friction identification in mechatronic systems, {ISA} Transactions, vol.43, issue.2, pp.205-216, 2004.

A. Olabi, Amélioration de la précision des robots industriels pour des applications d'usinage à grande vitesse, p.132, 2011.

A. Olabi, R. Béarée, O. Gibaru, and M. Damak, Feedrate planning for machining with industrial six-axis robots, Control Engineering Practice, vol.18, issue.5, pp.471-482, 2010.
DOI : 10.1016/j.conengprac.2010.01.004
URL : https://hal.archives-ouvertes.fr/hal-00992192

M. Olabi, R. Damak, O. Béarée, S. Gibaru, and . Leleu, Improving the accuracy of industrial robots by offline compensation of joints errors, 2012 IEEE International Conference on Industrial Technology, pp.492-497, 2012.
DOI : 10.1109/ICIT.2012.6209986
URL : https://hal.archives-ouvertes.fr/hal-00777382

H. Olsson, K. Astrom, C. Canudas-de-wit, M. Gafvert, and P. Lischinsky, Friction Models and Friction Compensation, European Journal of Control, vol.4, issue.3, pp.176195-176228, 1998.
DOI : 10.1016/S0947-3580(98)70113-X

M. Oueslati, O. Gibaru, R. Béarée, G. Moraru, and D. M. , Modélisation et identification des défauts dans la chaine de transmission d'un axe de robot industriel usinant, p.91, 2010.

M. Oueslati, S. Thiery, O. Gibaru, R. Béarée, and G. Moraru, On algebraic approach for msd parametric estimation, Integrated Modeling and Analysis in Applied Control and Automation conference, pp.83-91, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00647231

M. Oueslati, R. Béarée, O. Gibaru, and G. Moraru, Improving the dynamic accuracy of elastic industrial robot joint by algebraic identification approach, 2012 1st International Conference on Systems and Computer Science (ICSCS), pp.1-6, 2012.
DOI : 10.1109/IConSCS.2012.6502456
URL : https://hal.archives-ouvertes.fr/hal-00714545

J. G. Papastavridis, On Jourdain's principle, International Journal of Engineering Science, vol.30, issue.2, pp.135-140, 1992.
DOI : 10.1016/0020-7225(92)90046-J

E. Parzen, Stochastic Processes, Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, 1999.
DOI : 10.1137/1.9781611971125

E. Pereira, J. R. Trapero, I. M. Dãaz, and V. Feliu, Adaptive input shaping for manoeuvring flexible structures using an algebraic identification technique, Automatica, vol.45, issue.4, pp.1046-1051, 2009.
DOI : 10.1016/j.automatica.2008.11.014

E. Pereira, J. R. Trapero, I. Diaz, and V. Feliu, Algebraic identification of the first two natural frequencies of flexible-beam-like structures, Mechanical Systems and Signal Processing, vol.25, issue.7, pp.2324-2335, 2011.
DOI : 10.1016/j.ymssp.2011.03.007

E. Pereira, J. R. Trapero, I. M. Diaz, and V. Feliu, Adaptive input shaping for single-link flexible manipulators using an algebraic identification, Control Engineering Practice, vol.20, issue.2, pp.138-147, 2012.
DOI : 10.1016/j.conengprac.2011.10.004

M. Perruquetti, R. Mboup, P. Ushirobira, V. Fraisse, and . Bonnet, An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.7389-7394, 2012.
DOI : 10.1109/CDC.2012.6426001
URL : https://hal.archives-ouvertes.fr/hal-00733516

A. Piersol and T. Paez, Harris Shock and Vibration Handbook. McGraw-Hill handbooks, p.89, 2009.

R. Pintelon and J. Schoukens, Measurement of frequency response functions using periodic excitations, corrupted by correlated input/output errors. Instrumentation and Measurement, IEEE Transactions on, vol.50, issue.6, pp.1753-1760, 2001.

J. Piranda, Vibrations en milieu industriel, mesures, surveillance et contrôle, volume base documentaire : 42424210. Editions T.I, 1921.

G. Piras, W. L. Cleghorn, and J. K. Mills, Dynamic finite-element analysis of a planar high-speed, high-precision parallel manipulator with flexible links. Mechanism and Machine Theory, pp.849-862, 2005.

A. Poty, P. Melchior, B. Orsoni, F. Levron, and A. Oustaloup, Zv and zvd shapers for explicit fractional derivative systems, Advanced Robotics, Proceedings of ICAR 2003 The 11th International Conference on, pp.399-404, 2003.

C. Presse and M. Gautier, New criteria of exciting trajectories for robot identification, [1993] Proceedings IEEE International Conference on Robotics and Automation, pp.907-912, 1993.
DOI : 10.1109/ROBOT.1993.292259

T. Ramachandran, N. Nagarajan, and . Prasad, A finite element approach to the design and dynamic analysis of platform type robot manipulators. Finite Elements in Analysis and Design, pp.335-350, 1992.

G. P. Rao and H. Unbehauen, Identification of continuous-time systems, IEE Proceedings - Control Theory and Applications, vol.153, issue.2, pp.185-220, 2006.
DOI : 10.1049/ip-cta:20045250

O. Reynolds, The Sub-mechanics of the Universe Rede lectures, p.31, 1903.

S. Rezk, C. Join, S. Asmi, M. Dogui, and M. H. Bedoui, Frequency Change-Point Detection in physiological Signals : an Algebraic Approach, International Journal on Sciences and Techniques of Automatic control & computer engineering, vol.2, issue.1, pp.456-468, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00308474

S. Riachy, M. Mboup, and J. Richard, Multivariate numerical differentiation, Journal of Computational and Applied Mathematics, vol.236, issue.6, pp.1069-1089, 2011.
DOI : 10.1016/j.cam.2011.07.031
URL : https://hal.archives-ouvertes.fr/inria-00637164

R. Riepl and H. Gattringer, Accurate high-speed robotics, B & R Industrial Ethernet Award, 2003.

F. Rotella and P. Borne, Théorie et pratique du calcul matriciel. Méthodes et pratiques de l'ingénieur. Editions Technip, 1995.

M. Ruderman, F. Hoffmann, and T. Bertram, Modeling and identification of elastic robot joints with hysteresis and backlash. Industrial Electronics, IEEE Transactions on, vol.56, issue.10, pp.3840-3847, 2009.

M. Sadati, R. Bagherpour, and . Ghadami, Adaptive Multi-Model Controller for Robotic Manipulators Based on CMAC Neural Networks, 2005 IEEE International Conference on Industrial Technology, pp.1012-1017, 2005.
DOI : 10.1109/ICIT.2005.1600784

P. Sanz, Robotics : Modeling, planning, and control (siciliano, b. et al ; 2009) [on the shelf] Robotics Automation Magazine, IEEE, vol.16, issue.4, pp.101-101, 2009.

J. Schoukens, R. Pintelon, and H. Van-hamme, Identification of linear dynamic systems using piecewise constant excitations: Use, misuse and alternatives, Automatica, vol.30, issue.7, pp.1153-1169, 1994.
DOI : 10.1016/0005-1098(94)90211-9

T. Söderström and K. Mahata, On instrumental variable and total least squares approaches for identification of noisy systems, International Journal of Control, vol.75, issue.6, pp.381-389, 2002.
DOI : 10.1016/0005-1098(70)90098-1

T. S. Söderstrom and P. G. Stoica, System Identification, International Series In Systems And Control Engineering, 1989.
DOI : 10.1115/1.2899207

P. K. Sen, J. Da-motta, and . Singer, Large Sample Methods in Statistics : An Introduction with Applications. Chapman and Hall Texts in Statistical Science Series, p.52, 1993.
DOI : 10.1007/978-1-4899-4491-7

A. A. Shabana, Dynamics of Multibody Systems, 2003.

B. Siciliano and O. Khatib, Springer Handbook of Robotics. Gale virtual reference library, p.22, 2008.

C. Singer and W. P. Seering, Preshaping Command Inputs to Reduce System Vibration, Journal of Dynamic Systems, Measurement, and Control, vol.112, issue.1, pp.76-82, 1990.
DOI : 10.1115/1.2894142

C. Singer and W. P. Seering, An extension of command shaping methods for controlling residual vibration using frequency sampling, Proceedings 1992 IEEE International Conference on Robotics and Automation, pp.800-805, 1992.
DOI : 10.1109/ROBOT.1992.220271

T. Singh and W. Singhose, Input shaping/time delay control of maneuvering flexible structures, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), pp.1717-1731, 2002.
DOI : 10.1109/ACC.2002.1023813

W. Singhose, Command Generation for Flexible Systems, p.133, 1997.

H. Sira-ramirez and M. Fliess, AN ALGEBRAIC STATE ESTIMATION APPROACH FOR THE RECOVERY OF CHAOTICALLY ENCRYPTED MESSAGES, International Journal of Bifurcation and Chaos, vol.16, issue.02, pp.295-309, 2006.
DOI : 10.1142/S0218127406014812
URL : https://hal.archives-ouvertes.fr/inria-00001247

M. W. Spong, Modeling and Control of Elastic Joint Robots, Journal of Dynamic Systems, Measurement, and Control, vol.109, issue.4, 1921.
DOI : 10.1115/1.3143860

M. W. Spong, Modeling and control of elastic joint robots Journal of Dynamic Systems Measurement and Control-transactions of The Asme, pp.310-318, 1987.

M. W. Spong and S. Hutchinson, Robot Modeling and Control, 2005.

M. W. Spong and M. Vidyasagar, Robot Dynamics and Control, p.20, 1989.

R. Stribeck, Die wesentlichen Eigenschaften der Gleit-und Rollenlager, p.31, 1903.

B. Subudhi and A. S. Morris, Dynamic modelling, simulation and control of a manipulator with flexible links and joints, Robotics and Autonomous Systems, vol.41, issue.4, pp.257-270, 2002.
DOI : 10.1016/S0921-8890(02)00295-6

M. Sweet and M. C. Good, Redefinition of the robot motion-control problem, IEEE Control Systems Magazine, vol.5, issue.3, pp.18-25, 1985.
DOI : 10.1109/MCS.1985.1104955

J. Swevers, C. Ganseman, D. B. Tukel, J. D. Schutter, and H. Van-brussel, Optimal robot excitation and identification. Robotics and Automation, IEEE Transactions on, vol.13, issue.108, pp.730-740, 1997.

J. Swevers, F. Al-bender, C. G. Ganseman, and T. Projogo, An integrated friction model structure with improved presliding behavior for accurate friction compensation. Automatic Control, IEEE Transactions on, vol.45, issue.4, pp.675-686, 2000.

J. Theodore and A. Ghosal, Comparison of the Assumed Modes and Finite Element Models for Flexible Multilink Manipulators, The International Journal of Robotics Research, vol.14, issue.2, pp.91-111, 1995.
DOI : 10.1177/027836499501400201

. Thiery, Modélisation et compensation de frottements dans un moteur linéaire, 2005.

Z. Tiganj, M. Mboup, C. Pouzat, and L. Belkoura, An Algebraic Method for Eye Blink Artifacts Detection in Single Channel EEG Recordings, 17th International Conference on Biomagnetism Advances in Biomagnetism Biomag2010, pp.175-178, 2010.
DOI : 10.1007/978-3-642-12197-5_38
URL : https://hal.archives-ouvertes.fr/hal-00518627

M. Tiganj, S. Mboup, E. Chevallier, and . Kalunga, Online frequency band estimation and changepoint detection, 1st International Conference Systems and Computer Science, p.70, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00756089

. Tomei, A simple pd controller for robots with elastic joints Automatic Control, IEEE Transactions on, vol.36, issue.10, pp.1208-1213, 1991.

D. M. Tran, A presentation of kane's method for formulating equations of motion, La Recherche Aérospatiale, vol.3, p.121, 1991.

J. R. Trapero, H. Sira-ramirez, and V. Feliu, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, Journal of Sound and Vibration, vol.307, issue.1-2, pp.365-378, 2007.
DOI : 10.1016/j.jsv.2007.07.005

T. Tuttle, Creating time-optimal commands for linear systems, p.126, 1997.

H. Ueno, Y. Xu, and T. Yoshida, Modeling and control strategy of a 3-D flexible space robot, Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91, pp.978-983, 1991.
DOI : 10.1109/IROS.1991.174616

R. Ushirobira, W. Perruquetti, M. Mboup, and M. Fliess, Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data, Sysid 2012, 16th IFAC Symposium on System Identification, p.47, 2012.
DOI : 10.3182/20120711-3-BE-2027.00393
URL : https://hal.archives-ouvertes.fr/hal-00685067

W. Verdonck and J. Swevers, Improving the dynamic accuracy of industrial robots by trajectory pre-compensation, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292), pp.3423-3428, 2002.
DOI : 10.1109/ROBOT.2002.1014240

J. Villagra, B. D. , A. Novel, S. Choi, M. Fliess et al., Robust stop-and-go control strategy: an algebraic approach for non-linear estimation and control, International Journal of Vehicle Autonomous Systems, vol.7, issue.3/4, pp.270-291, 2009.
DOI : 10.1504/IJVAS.2009.033264

B. Wahlberg, H. Hjalmarsson, and P. Stoica, On optimal input signal design for frequency response estimation, 49th IEEE Conference on Decision and Control (CDC), pp.302-307, 2010.
DOI : 10.1109/CDC.2010.5717921

B. Wahlberg, H. Hjalmarsson, and P. Stoica, On the performance of optimal input signals for frequency response estimation. Automatic Control, IEEE Transactions on, vol.57, issue.3, pp.766-771, 2012.

J. Wang, H. Zhang, and T. Fuhlbrigge, Improving machining accuracy with robot deformation compensation, 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.3826-3831, 2009.
DOI : 10.1109/IROS.2009.5353988

T. Wongratanaphisan and M. Chew, Gravity compensation of spatial two-DOF serial manipulators, Journal of Robotic Systems, vol.26, issue.7, pp.329-347, 2002.
DOI : 10.1002/rob.10044

M. Yazdani, G. Gamble, G. Henderson, and R. Hecht-nielsen, A simple control policy for achieving minimum jerk trajectories, Neural Networks, vol.27, issue.0, pp.74-80, 2012.
DOI : 10.1016/j.neunet.2011.11.005

. Yoshikawa, Foundations of Robotics : Analysis and Control, 1990.

V. Zanotto, A. Gasparetto, A. Lanzutti, P. Boscariol, and R. Vidoni, Experimental Validation of Minimum Time-jerk Algorithms for Industrial Robots, Journal of Intelligent & Robotic Systems, vol.24, issue.3, pp.197-219, 2011.
DOI : 10.1007/s10846-010-9533-5

G. Zheng, D. Boutat, T. Floquet, and J. Barbot, SECURE DATA TRANSMISSION BASED ON MULTI-INPUT MULTI-OUTPUT DELAYED CHAOTIC SYSTEM, International Journal of Bifurcation and Chaos, vol.18, issue.07, pp.2063-2072, 2008.
DOI : 10.1142/S0218127408021567
URL : https://hal.archives-ouvertes.fr/inria-00176896