C. T. Abdallah, D. Dawson, P. Dorato, and M. Jamshidi, Survey of robust control for rigid robots, IEEE Control Systems, vol.11, issue.2, 1991.
DOI : 10.1109/37.67672

A. Abouelsoud, Robust regulator for flexible-joint robots using integrator backstepping, Journal of Intelligent and Robotic Systems, vol.22, issue.1, pp.23-38, 1998.
DOI : 10.1023/A:1007947416837

A. Albu-schäffer and G. Hirzinger, State feedback controller for flexible joint robots: a globally stable approach implemented on DLR's light-weight robots, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113), pp.1087-1093, 2000.
DOI : 10.1109/IROS.2000.893164

C. H. An, C. G. Atkeson, and J. M. Hollerbach, Model-based control of a robot manipulator, 1988.

S. Arimoto, Stability and robustness of pid feedback control for robot manipulators of sensory capability, Robotics Research, pp.783-799, 1984.

H. Asada and J. Slotine, Robot analysis and control, Automatica, vol.24, issue.2, 1986.
DOI : 10.1016/0005-1098(88)90042-8

K. J. Åström and B. Wittenmark, Adaptive control. Courier Corporation, 2013.

B. Brogliato, R. Ortega, and R. Lozano, Global tracking controllers for flexiblejoint manipulators: a comparative study, Automatica, issue.7, pp.31941-956, 1995.

B. Brogliato and D. Rey, Further experimental results on nonlinear control of flexible joint manipulators, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), pp.2209-2211, 1998.
DOI : 10.1109/ACC.1998.703019

B. Brogliato, D. Rey, A. Pastore, and J. Barnier, Experimental comparison of nonlinear controllers for flexible joint manipulators, Proceedings of IEEE International Conference on Robotics and Automation, pp.260-281, 1998.
DOI : 10.1109/ROBOT.1996.506858

F. Burger, P. Besse, and R. Popovic, New fully integrated 3-D silicon Hall sensor for precise angular-position measurements, Sensors and Actuators A: Physical, vol.67, issue.1-3, pp.72-76, 1998.
DOI : 10.1016/S0924-4247(97)01750-0

J. Craig, Introduction to robotics: mechanics and control, 2005.

J. J. Craig, Introduction to robotics: mechanics and control, 2005.

J. J. Craig, P. Hsu, and S. S. Sastry, Adaptive Control of Mechanical Manipulators, The International Journal of Robotics Research, vol.11, issue.3, pp.16-28, 1987.
DOI : 10.1177/027836498700600202

A. Dabroom and H. K. Khalil, Numerical differentiation using high-gain observers, Proceedings of the 36th IEEE Conference on Decision and Control, pp.4790-4795, 1997.
DOI : 10.1109/CDC.1997.649776

A. M. Dabroom and H. K. Khalil, Discrete-time implementation of high-gain observers for numerical differentiation, International Journal of Control, vol.72, issue.17, pp.721523-1537, 1999.
DOI : 10.1080/002071799220029

A. Datta and M. Ho, Computed torque adaptive control of rigid robots with improved transient performance, American Control Conference, pp.1418-1422, 1993.

D. Dawson, Z. Qu, M. Bridges, C. , and J. , Robust tracking of rigid-link flexible-joint electrically-driven robots, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, pp.1409-1412, 1991.
DOI : 10.1109/CDC.1991.261631

D. Luca and A. , Decoupling and feedback linearization of robots with mixed rigid/elastic joints, Robotics and Automation IEEE International Conference on, pp.816-821, 1996.

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

D. Luca, A. Isidori, A. Nicolo, and F. , Control of robot arm with elastic joints via nonlinear dynamic feedback, 1985 24th IEEE Conference on Decision and Control, pp.1671-1679, 1985.
DOI : 10.1109/CDC.1985.268819

D. Luca, A. Lucibello, and P. , A general algorithm for dynamic feedback linearization of robots with elastic joints, Robotics and Automation Proceedings. 1998 IEEE International Conference on, pp.504-510, 1998.

D. Luca, A. Siciliano, B. Zollo, and L. , Pd control with on-line gravity compensation for robots with elastic joints: Theory and experiments, Automatica, issue.10, pp.411809-1819, 2005.

D. Efimov, Robust and adaptive control of nonlinear oscillations, 2005.

D. Efimov and A. Fradkov, Design of impulsive adaptive observers for improvement of persistency of excitation, International Journal of Adaptive Control and Signal Processing, vol.59, issue.2, pp.765-782, 2015.
DOI : 10.1002/acs.2506
URL : https://hal.archives-ouvertes.fr/hal-01016332

D. V. Efimov and L. Fridman, A hybrid robust non-homogeneous finite-time differentiator. sign, pp.1-5, 2011.

M. Fliess, C. Join, and H. Sira-ramirez, Non-linear estimation is easy, International Journal of Modelling, Identification and Control, vol.4, issue.1, pp.12-27, 2008.
DOI : 10.1504/IJMIC.2008.020996
URL : https://hal.archives-ouvertes.fr/inria-00158855

S. H. Fu and C. Cheng, Robust direct adaptive control of nonlinear uncertain systems with unknown disturbances Nonregular feedback linearization for a class of second-order nonlinear systems, American Control Conference Proceedings of the 2005, pp.3731-3736, 2001.

E. G. Gilbert and I. J. Ha, An approach to nonlinear feedback control with applications to robotics. Systems, Man and Cybernetics, IEEE Transactions on, issue.6, pp.879-884, 1984.

M. Goldfarb and T. Sirithanapipat, The effect of actuator saturation on the performance of PD-controlled servo systems, Mechatronics, vol.9, issue.5, pp.497-511, 1999.
DOI : 10.1016/S0957-4158(99)00013-6

R. Gorez, Sliding mode as a rational approach to robot controller design, Add. to Proc. Workshop on Modelling and Control of Mechanical Systems, pp.1-15, 1997.

M. Hashimoto, Y. Kiyosawa, P. , and R. P. , A torque sensing technique for robots with harmonic drives. Robotics and Automation, IEEE Transactions on, vol.9, issue.1, pp.108-116, 1993.

S. Hirose and K. Yoneda, Development of optical six-axial force sensor and its signal calibration considering nonlinear interference, Proceedings., IEEE International Conference on Robotics and Automation, pp.46-53, 1990.
DOI : 10.1109/ROBOT.1990.125944

G. Hirzinger, A. Albu-schaffer, M. Hahnle, I. Schaefer, and N. Sporer, On a new generation of torque controlled light-weight robots, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164), pp.3356-3363, 2001.
DOI : 10.1109/ROBOT.2001.933136

T. S. Hsia, A new technique for robust control of servo systems, IEEE Transactions on Industrial Electronics, vol.36, issue.1, pp.1-7, 1989.
DOI : 10.1109/41.20338

S. Jain and F. Khorrami, Robust Adaptive Control of Flexible Joint Manipulators, Automatica, vol.34, issue.5, pp.609-615, 1998.
DOI : 10.1016/S0005-1098(97)00199-4

H. Kawasaki, T. Bito, and K. Kanzaki, An efficient algorithm for the modelbased adaptive control of robotic manipulators. Robotics and Automation, IEEE Transactions on, vol.12, issue.3, pp.496-501, 1996.

R. Kelly, Adaptive computed torque plus compensation control for robot manipulators. Mechanism and machine theory, pp.161-165, 1990.

H. K. Khalil, Nonlinear Systems, 2002.

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

A. Khiat, F. Lamarque, C. Prelle, N. Bencheikh, and E. Dupont, High-resolution fibre-optic sensor for angular displacement measurements, Measurement Science and Technology, vol.21, issue.2, p.25306, 2010.
DOI : 10.1088/0957-0233/21/2/025306

K. Khorasani, Nonlinear feedback control of flexible joint manipulators: a single link case study, IEEE Transactions on Automatic Control, vol.35, issue.10, pp.1145-1149, 1990.
DOI : 10.1109/9.58558

M. S. Kim and J. S. Lee, Adaptive tracking control of flexible-joint manipulators without overparametrization, Journal of Robotic Systems, vol.41, issue.7, pp.369-379, 2004.
DOI : 10.1002/rob.20019

G. Kreisselmeier, Adaptive observers with exponential rate of convergence, IEEE Transactions on Automatic Control, vol.22, issue.1, pp.2-8, 1977.
DOI : 10.1109/TAC.1977.1101401

H. Kuntze, A. Jacubasch, J. Richalet, and C. Arber, On the predictive functional control of an elastic industrial robot, 1986 25th IEEE Conference on Decision and Control, pp.1877-1881, 1986.
DOI : 10.1109/CDC.1986.267314

M. H. Kutner, C. Nachtsheim, and J. Neter, Applied linear regression models, 2004.

M. H. Kutner, C. J. Nachtsheim, and J. Neter, Applied Linear Regression Models, 2004.

I. D. Landau, R. Lozano, M. Saad, and A. Karimi, Adaptive control: algorithms, analysis and applications, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01060308

L. Jr, M. B. Valavanis, K. P. Saridis, and G. , Evaluation of dynamic models for puma robot control. Robotics and Automation, IEEE Transactions on, vol.5, issue.2, pp.242-245, 1989.

A. Levant, Higher-order sliding modes, differentiation and output-feedback control, International Journal of Control, vol.76, issue.9-10, pp.9-10924, 2003.
DOI : 10.1080/0020717031000099029

F. L. Lewis, C. T. Abdallah, D. , and D. M. , Control of robot manipulators, 1993.
DOI : 10.1201/9780203026953

C. Liu, C. C. Cheah, and J. E. Slotine, Adaptive task-space regulation of rigid-link flexible-joint robots with uncertain kinematics, Automatica, vol.44, issue.7, pp.441806-1814, 2008.
DOI : 10.1016/j.automatica.2007.10.039
URL : https://hal.archives-ouvertes.fr/lirmm-00366215

G. Liu, S. Abdul, and A. A. Goldenberg, Distributed control of modular and reconfigurable robot with torque sensing, Robotica, issue.01, pp.2675-84, 2008.

R. Lozano, A. Valera, P. Albertos, S. Arimoto, and T. Nakayama, Pd control of robot manipulators with joint flexibility, actuators dynamics and friction, Automatica, issue.10, pp.351697-1700, 1999.

A. D. Luca, Dynamic control of robots with joint elasticity, Robotics and Automation IEEE International Conference on, pp.152-158, 1988.

J. Luh, Conventional controller design for industrial robots — A tutorial, IEEE Transactions on Systems, Man, and Cybernetics, vol.13, issue.3, pp.298-316, 1983.
DOI : 10.1109/TSMC.1983.6313163

C. J. Macnab, G. M. D-'eleuterio, and M. Meng, CMAC adaptive control of flexible-joint robots using backstepping with tuning functions, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004, pp.2679-2686, 2004.
DOI : 10.1109/ROBOT.2004.1307465

G. Maliotis, A hybrid model reference adaptive control/computed torque control scheme for robotic manipulators, Proceedings of the Institution of Mechanical Engineers, pp.215-221, 1991.
DOI : 10.1243/PIME_PROC_1991_205_334_02

R. Marino and M. Spong, Nonlinear control techniques for flexible joint manipulators: A single link case study, Proceedings. 1986 IEEE International Conference on Robotics and Automation, pp.1030-1036, 1986.
DOI : 10.1109/ROBOT.1986.1087613

M. Mboup, C. Join, and M. Fliess, A revised look at numerical differentiation with an application to nonlinear feedback control, 2007 Mediterranean Conference on Control & Automation, 2007.
DOI : 10.1109/MED.2007.4433728
URL : https://hal.archives-ouvertes.fr/inria-00142588

F. Mrad and S. Ahmad, Adaptive control of flexible joint robots with stability in the sense of Lyapunov, 29th IEEE Conference on Decision and Control, pp.2667-2672, 1990.
DOI : 10.1109/CDC.1990.203462

R. M. Murray, Z. Li, S. S. Sastry, and S. S. Sastry, A mathematical introduction to robotic manipulation, 1994.

K. Narendra and A. Annaswamy, Stable adaptive systems, 1989.

S. Nicosia and P. Tomei, On the feedback linearization of robots with elastic joints, Proceedings of the 27th IEEE Conference on Decision and Control, pp.180-185, 1988.
DOI : 10.1109/CDC.1988.194292

S. Nicosia and P. Tomei, A new approach to control elastic joint robots with application to adaptive control, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, pp.343-347, 1991.
DOI : 10.1109/CDC.1991.261319

S. Nicosia and P. Tomei, Design of global tracking controllers for flexible-joint robots, Journal of Robotic Systems, vol.7, issue.6, pp.835-846, 1993.
DOI : 10.1002/rob.4620100604

R. Ortega, Passivity???based control of Euler???Lagrange systems: applications to robots, AC motors and power converters, Modelling and Control of Mechanical Systems, p.20, 1997.
DOI : 10.1142/9781848160873_0006

R. Ortega and M. W. Spong, Adaptive motion control of rigid robots: A tutorial, Automatica, vol.25, issue.6, pp.877-888, 1989.
DOI : 10.1016/0005-1098(89)90054-X

S. Ozgoli and H. Taghirad, A SURVEY ON THE CONTROL OF FLEXIBLE JOINT ROBOTS, Asian Journal of Control, vol.7, issue.5, pp.332-344, 2006.
DOI : 10.1111/j.1934-6093.2006.tb00285.x

R. P. Paul, Robot manipulators: mathematics, programming, and control: the computer control of robot manipulators, 1981.

M. Pedley, Tilt sensing using a three-axis accelerometer. Freescale Semiconductor Application Note, 2013.

W. Perruquetti and T. Floquet, Homogeneous finite time observer for nonlinear systems with linearizable error dynamics, 2007 46th IEEE Conference on Decision and Control, 2007.
DOI : 10.1109/CDC.2007.4434702
URL : https://hal.archives-ouvertes.fr/inria-00171342

W. Perruquetti, T. Floquet, and E. Moulay, Finite-time observers: application to secure communication. Automatic Control, IEEE Transactions on, vol.53, issue.1, pp.356-360, 2008.
DOI : 10.1109/tac.2007.914264
URL : https://hal.archives-ouvertes.fr/inria-00176758

P. Rocco, Stability of pid control for industrial robot arms. Robotics and Automation, IEEE Transactions on, vol.12, issue.4, pp.606-614, 1996.

N. Sadegh and R. Horowitz, An exponentially stable adaptive control law for robot manipulators Robotics and Automation, IEEE Transactions on, vol.6, issue.4, pp.491-496, 1990.

R. Schilling, Fundamentals of robotics, 2013.

L. Sciavicco and B. Siciliano, Modelling and control of robot manipulators, 2012.
DOI : 10.1007/978-1-4471-0449-0

J. E. Slotine, Putting physics in control-the example of robotics, IEEE Control Systems Magazine, vol.8, issue.6, pp.12-18, 1988.
DOI : 10.1109/37.9164

J. E. Slotine and W. Li, On the adaptive control of robot manipulators. The international journal of robotics research, pp.49-59, 1987.

J. E. Slotine and W. Li, Composite adaptive control of robot manipulators, Automatica, vol.25, issue.4, pp.509-519, 1989.
DOI : 10.1016/0005-1098(89)90094-0

M. W. Spong, Modeling and Control of Elastic Joint Robots, Journal of Dynamic Systems, Measurement, and Control, vol.109, issue.4, pp.310-318, 1987.
DOI : 10.1115/1.3143860

M. W. Spong, Control of robots and manipulators. The control handbook, pp.1339-1351, 1996.

P. Staufer and H. Gattringer, State estimation on flexible robots using accelerometers and angular rate sensors, Mechatronics, vol.22, issue.8, pp.221043-1049, 2012.
DOI : 10.1016/j.mechatronics.2012.08.009

L. M. Sweet and M. Good, Re-definition of the robot motion control problem: Effects of plant dynamics, drive system constraints, and user requirements, The 23rd IEEE Conference on Decision and Control, pp.724-732, 1984.
DOI : 10.1109/CDC.1984.272105

L. 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

H. Taghirad and H. Rahimi, Composite QFT controller design for flexible joint robots, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005., pp.583-588, 2005.
DOI : 10.1109/CCA.2005.1507189

M. Thümmel, M. Otter, and J. Bals, Control of robots with elastic joints based on automatic generation of inverse dynamics models, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180), pp.925-930, 2001.
DOI : 10.1109/IROS.2001.976287

P. Tomei, Adaptive pd controller for robot manipulators Robotics and Automation, IEEE Transactions on, vol.7, issue.4, pp.565-570, 1991.

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

P. Tomei, Tracking control of flexible joint robots with uncertain parameters and disturbances, IEEE Transactions on Automatic Control, vol.39, issue.5, pp.1067-1072, 1994.
DOI : 10.1109/9.284895

P. Tomei, S. Nicosia, and A. Ficola, An approach to the adaptive control of elastic at joints robots, Proceedings. 1986 IEEE International Conference on Robotics and Automation, pp.552-558, 1986.
DOI : 10.1109/ROBOT.1986.1087665

C. Wang, W. Chen, and M. Tomizuka, Robot end-effector sensing with position sensitive detector and inertial sensors, 2012 IEEE International Conference on Robotics and Automation, pp.5252-5257, 2012.
DOI : 10.1109/ICRA.2012.6225180

J. S. Yeon and J. H. Park, Practical Robust Control for Flexible Joint Robot Manipulators, Robotics and Automation IEEE International Conference on, pp.3377-3382, 2008.
DOI : 10.3182/20080706-5-KR-1001.01993

J. Yim, J. S. Yeon, J. Lee, J. H. Park, S. Lee et al., Robust Control of Flexible Robot Manipulators, 2006 SICE-ICASE International Joint Conference, pp.3963-3968, 2006.
DOI : 10.1109/SICE.2006.314872

J. Yim, J. S. Yeon, J. H. Park, S. Lee, and J. Hur, Robust Control using Recursive Design Method for Flexible Joint Robot Manipulator, Proceedings 2007 IEEE International Conference on Robotics and Automation, pp.3805-3810, 2007.
DOI : 10.1109/ROBOT.2007.364062

W. Yim, Adaptive control of a flexible joint manipulator, Robotics and Automation Proceedings 2001 ICRA. IEEE International Conference on, pp.3441-3446, 2001.

J. Yuan and Y. Stepanenko, Adaptive control of flexible joint robots with arbitrary stiffness, Contr. Eng. Pract, vol.2, issue.5, pp.903-906, 1994.

Q. Zhang, Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems, IEEE Transactions on Automatic Control, vol.47, issue.3, pp.525-529, 2002.
DOI : 10.1109/9.989154

W. Zhu and T. Lamarche, Modular Robot Manipulators Based on Virtual Decomposition Control, Proceedings 2007 IEEE International Conference on Robotics and Automation, pp.2235-2240, 2007.
DOI : 10.1109/ROBOT.2007.363652

Z. Shao, G. Zheng, and D. Efimov, Modelling and control for position-controlled Modular Robot Manipulators, 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp.3290-3295, 2015.
DOI : 10.1109/IROS.2015.7353834
URL : https://hal.archives-ouvertes.fr/hal-01185120

Z. Shao, G. Zheng, and D. Efimov, Modelling and control of actuators with built-in position controller, IFAC conference on Modelling, Identification and Control of NONlinear systems
DOI : 10.1016/j.ifacol.2015.09.294
URL : https://hal.archives-ouvertes.fr/hal-01162683

Z. Shao, G. Zheng, D. Efimov, and W. Perruquetti, Robust and adaptive control using measurements of higher order derivatives, 2016 European Control Conference (ECC)
DOI : 10.1109/ECC.2016.7810332
URL : https://hal.archives-ouvertes.fr/hal-01410855

Z. Shao, G. Zheng, D. Efimov, and W. Perruquetti, Auxiliary controller design for low-cost manipulators with built-in controller

Z. Shao, G. Zheng, D. Efimov, and W. Perruquetti, Identification, estimation and control for linear systems using measurements of higher order derivatives