, Choice of minimum acceleration. (c) Choice of minimum velocity

C. Figure, 2: Motivations for the choice of one of the imposed tests

C. 138appendix, . User, and . Study,

C. Figure, E. Abend, P. Bizzi, and . Morasso, 3: Reasons mentioned for the choice of the favourite motion during E.3. Bibliography [Abend, HUMAN ARM TRAJECTORY FORMATION. Brain, vol.105, issue.2, p.27, 1982.

R. Alami, R. Chatila, S. Fleury, M. Ghallab, and F. Ingrand, An Architecture for Autonomy, The International Journal of Robotics Research, vol.17, issue.4, p.29, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00123273

F. Amirabdollahian, R. Loureiro, and W. Harwin, Minimum jerk trajectory control for rehabilitation and haptic applications, vol.4, p.36, 2002.

T. Arai, R. Kato, and M. Fujita, Assessment of operator stress induced by robot collaboration in assembly, CIRP Annals -Manufacturing Technology, vol.59, issue.1, p.26, 2010.

C. Bartneck, D. Kuli?, E. Croft, and S. Zoghbi, Measurement Instruments for the Anthropomorphism, Animacy, Likeability, Perceived Intelligence, and Perceived Safety of Robots, International Journal of Social Robotics, vol.1, issue.1, p.113, 2009.

W. D. Beggs and C. I. Howarth, The movement of the hand towards a target, The Quarterly Journal of Experimental Psychology, vol.24, issue.4, p.28, 1972.

L. Biagiotti, Trajectory Planning for Automatic Machines and Robots, vol.34, p.65, 2008.

C. Bianco and O. Gerelli, Online Trajectory Scaling for Manipulators Subject to High-Order Kinematic and Dynamic Constraints, IEEE Transactions on Robotics, vol.27, issue.6, p.43, 2011.

A. Bicchi, M. A. Peshkin, and J. E. Colgate, Safety for Physical Human-Robot Interaction, Springer Handbook of Robotics, pp.1335-1348, 2008.

R. Bischoff, J. Kurth, and G. Schreiber, Ralf Koeppe and Alin Albu-Schäffer. The KUKA-DLR Lightweight Robot Arm -a New Reference Platform for Robotics Research and Manufacturing, vol.8

E. Bizzi, N. Accornero, W. Chapple, and N. Hogan, Posture control and trajectory formation during arm movement, The Journal of Neuroscience: The Official Journal of the Society for Neuroscience, vol.4, issue.11, p.27, 1984.

L. Blaha, Multi-axis Time Synchronization for Uncoordinated Motion Planning with Hard Constraints, IFAC Proceedings Volumes, vol.47, pp.3845-3850, 2014.

, Cynthia Breazeal. Toward sociable robots. Robotics and Autonomous Systems, vol.42, p.21, 2003.

C. Breazeal, K. Dautenhahn, and T. Kanda, Social Robotics, Springer Handbook of Robotics, p.21, 2016.

X. Broquere, D. Sidobre, and I. Herrera-aguilar, Soft motion trajectory planner for service manipulator robot, IEEE/RSJ International Conference on Intelligent Robots and Systems, vol.37, p.43, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00381574

X. Broquere, D. Sidobre, and K. Nguyen, From motion planning to trajectory control with bounded jerk for service manipulator robots, Robotics and Automation (ICRA), vol.35, p.43, 2010.

X. Broquère, Planification de trajectoire pour la manipulation d'objets et l'interaction homme-robot, 2011.

E. Brynjolfsson and A. Mcafee, The Second Machine Age: Work, Progress, and Prosperity in a Time of Brilliant Technologies, p.13, 2014.

J. T. Butler and A. Agah, Psychological effects of behavior patterns of a mobile personal robot, Autonomous Robots, vol.10, issue.2, pp.185-202, 2001.

C. Cashbaugh and . Kitts, Automatic Calculation of a Transformation Matrix Between Two Frames, IEEE Access, vol.6, pp.9614-9622, 2018.

J. E. Colgate, J. Edward, M. A. Peshkin, and W. Wannasuphoprasit, Cobots: Robots For Collaboration With Human Operators, p.19, 1996.

D. Costantinescu and E. A. Croft, Smooth and time-optimal trajectory planning for industrial manipulators along specified paths, Journal of robotic systems, vol.17, issue.5, p.43, 2000.

J. J. Craig, Introduction to Robotics: Mechanics and Control, vol.35, 1986.

K. Danna and R. W. Griffin, Health and Well-Being in the Workplace: A Review and Synthesis of the Literature, Journal of Management, vol.25, issue.3, p.28, 1999.

E. Dombre and W. Khalil, Robot Manipulators: Modeling, Performance Analysis and Control, vol.33, 2007.
URL : https://hal.archives-ouvertes.fr/lirmm-00127404

A. Dragan and S. Srinivasa, Generating legible motion, p.26, 2013.

D. Anca, . Dragan, C. T. Kenton, S. S. Lee, and . Srinivasa, Legibility and predictability of robot motion, 8th ACM/IEEE International Conference on Human-Robot Interaction (HRI), p.26, 2013.

B. Ezair, T. Tassa, and Z. Shiller, Planning high order trajectories with general initial and final conditions and asymmetric bounds, The International Journal of Robotics Research, vol.33, issue.6, p.38, 2014.

J. , R. Flanagan, and D. J. Ostry, Trajectories of human multi-joint arm movements: Evidence of joint level planning, Experimental Robotics I, p.28, 1990.

T. Flash and N. Hogan, The coordination of arm movements: an experimentally confirmed mathematical model, The Journal of Neuroscience: The Official Journal of the Society for Neuroscience, vol.5, issue.7, p.27, 1985.

N. Flocke, Algorithm 954: An Accurate and Efficient Cubic and Quartic Equation Solver for Physical Applications, ACM Transactions on Mathematical Software, vol.41, issue.4, pp.1-24, 2015.

T. Fong, I. Nourbakhsh, and K. Dautenhahn, A survey of socially interactive robots, Robotics and Autonomous Systems, vol.42, issue.3-4, p.21, 2003.

A. Frisoli, C. Loconsole, R. Bartalucci, and M. Bergamasco, A new bounded jerk on-line trajectory planning for mimicking human movements in robot-aided neurorehabilitation, Robotics and Autonomous Systems, vol.61, issue.4, p.65, 2013.

M. Fujita, R. Kato, and A. Tamio, Assessment of operators' mental strain induced by hand-over motion of industrial robot manipulator, p.26, 2010.

C. Daniel, . Ganster, and . Christopher-c-rosen, Work Stress and Employee Health: A Multidisciplinary Review. JOURNAL OF MANAGE-MENT, p.39, 2013.

A. Gasparetto and V. Zanotto, A technique for time-jerk optimal planning of robot trajectories, Robotics and Computer-Integrated Manufacturing, vol.24, issue.3, p.36, 2008.

O. Gerelli, C. G. Lo, and . Bianco, Nonlinear Variable Structure Filter for the Online Trajectory Scaling, IEEE Transactions on Industrial Electronics, vol.56, issue.10, p.43, 2009.

S. Haddadin, A. Albu-schäffer, A. D. Luca, and G. Hirzinger, Collision detection and reaction: A contribution to safe physical Human-Robot Interaction, IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.3356-3363, 2008.

S. Haddadin, A. Albu, -. Schäffer, and G. Hirzinger, Requirements for Safe Robots: Measurements, Analysis and New Insights, The International Journal of Robotics Research, vol.28, issue.11-12, pp.1507-1527, 2009.

S. Haddadin, S. Haddadin, A. Khoury, T. Rokahr, S. Parusel et al., On making robots understand safety: Embedding injury knowledge into control, The International Journal of Robotics Research, vol.31, issue.13, pp.1578-1602, 2012.

R. Haschke, E. Weitnauer, and H. Ritter, On-line planning of time-optimal, jerk-limited trajectories, IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.3248-3253, 2008.

J. Hassard, R. H. Kevin, G. Teoh, P. Visockaite, T. Dewe et al., The cost of work-related stress to society: A systematic review, Journal of Occupational Health Psychology, vol.23, issue.1, p.25, 2018.

I. Herrera, -. Aguilar, and D. Sidobre, Soft motion trajectory planning and control for service manipulator robot, Workshop on Physical Human-Robot Interaction in Anthropic Domains at IROS, vol.43, p.37, 2006.

G. Hoffman and C. Breazeal, Effects of anticipatory action on human-robot teamwork efficiency, fluency, and perception of team, Proceedings of the ACM/IEEE international conference on Human-robot interaction, p.26, 2007.

N. Hogan, Control and Coordination of Voluntary Arm Movements, vol.36, p.28, 1982.

N. Hogan, An organizing principle for a class of voluntary movements, The Journal of Neuroscience: The Official Journal of the Society for Neuroscience, vol.4, issue.11, p.28, 1984.

M. Huber, H. Radrich, C. Wendt, M. Rickert, A. Knoll et al., Evaluation of a novel biologically inspired trajectory generator in human-robot interaction, RO-MAN 2009 -The 18th IEEE International Symposium on Robot and Human Interactive Communication, p.29, 2009.

L. E. Kavraki and S. M. Lavalle, Motion Planning, Springer Handbook of Robotics, p.32, 2008.

W. Khalil and E. Dombre, Modeling, Identification and Control of Robots, vol.33, 2004.

B. Kiss and E. Szadeczky-kardoss, On-line time-scaling control of a kinematic car with one input, Mediterranean Conference on Control & Automation, p.86, 2007.

T. Kroger, A. Tomiczek, and F. M. Wahl, Towards on-line trajectory computation, IEEE/RSJ International Conference on Intelligent Robots and Systems, vol.42, p.37, 2006.

T. Kroger and F. M. Wahl, Online Trajectory Generation: Basic Concepts for Instantaneous Reactions to Unforeseen Events, IEEE Transactions on Robotics, vol.26, issue.1, p.86, 2010.

T. Kroger, Online Trajectory Generation: Straight-Line Trajectories, IEEE Transactions on Robotics, vol.27, issue.5, p.65, 2011.

T. Kroger, On-line trajectory generation: Nonconstant motion constraints, Robotics and Automation (ICRA), vol.87, p.37, 2012.

J. Krüger, T. K. Lien, and A. Verl, Cooperation of human and machines in assembly lines, CIRP Annals, vol.58, issue.2, p.19, 2009.

D. Kuli? and E. A. Croft, Safe planning for human-robot interaction, Journal of Robotic Systems, vol.22, issue.7, pp.383-396, 2005.

D. Kuli? and E. A. Croft, Real-time safety for human-robot interaction, Robotics and Autonomous Systems, vol.54, issue.1, pp.1-12, 2006.

D. Kuli? and E. Croft, Pre-collision safety strategies for human-robot interaction, Autonomous Robots, vol.22, issue.2, pp.149-164, 2007.

]. K. Kyriakopoulos and G. N. Saridis, Minimum jerk path generation, vol.1, p.35, 1988.

P. Lambrechts, M. Boerlage, and M. Steinbuch, Trajectory planning and feedforward design for electromechanical motion systems, Control Engineering Practice, vol.13, issue.2, p.42, 2005.

A. Przemyslaw, J. A. Lasota, and . Shah, Analyzing the Effects of Human-Aware Motion Planning on Close-Proximity Human-Robot Collaboration, Human Factors: The Journal of the Human Factors and Ergonomics Society, vol.57, issue.1, p.26, 2015.

A. Przemyslaw, T. Lasota, J. A. Fong, and . Shah, A Survey of Methods for Safe Human-Robot Interaction, Foundations and Trends in Robotics, vol.5, issue.3, pp.261-349, 2017.

J. Latombe, Robot Motion Planning, vol.32, 1990.

M. Steven and . Lavalle, Planning Algorithms, vol.32, 2006.

S. Liu, An on-line reference-trajectory generator for smooth motion of impulse-controlled industrial manipulators, 7th International Workshop on Advanced Motion Control, pp.365-370, 2002.

S. Macfarlane and E. A. Croft, Jerk-bounded manipulator trajectory planning: design for real-time applications, IEEE Transactions on Robotics and Automation, vol.19, issue.1, p.42, 2003.

G. Michalos, S. Makris, J. Spiliotopoulos, I. Misios, P. Tsarouchi et al., ROBO-PARTNER: Seamless Human-Robot Cooperation for Intelligent, Flexible and Safe Operations in the Assembly Factories of the Future, Procedia CIRP, vol.23, p.19, 2014.

P. Morasso, Spatial control of arm movements, Experimental Brain Research, vol.42, issue.2, p.27, 1981.

H. Nagasaki, Asymmetric velocity and acceleration profiles of human arm movements, Experimental brain research, vol.74, issue.2, p.28, 1989.

T. Kim-doang-nguyen, I. Ng, and . Chen, On algorithms for planning S-curve motion profiles, International Journal of Advanced Robotic Systems, vol.5, issue.1, p.38, 2008.

D. J. Ostry, J. D. Cooke, and K. G. Munhall, Velocity curves of human arm and speech movements, Experimental Brain Research, vol.68, issue.1, p.28, 1987.

A. Piazzi and A. Visioli, An interval algorithm for minimum-jerk trajectory planning of robot manipulators, vol.2, p.36, 1997.

A. Piazzi and A. Visioli, Global minimum-jerk trajectory planning of robot manipulators, IEEE transactions on industrial electronics, vol.47, issue.1, p.36, 2000.

L. Puglisi, R. Saltaren, and C. Cena, On the Velocity and Acceleration Estimation from Discrete Time-Position Sensors, Control Engineering and Applied Informatics, p.11

S. Sanchez-restrepo, . Intuitive, . As-sisted, . Virtual, . Programming et al., , p.21, 2018.

;. J. Rivera-guillen, R. J. Rivera-guillen, A. Romero-troncoso, A. Osornio-rios, I. Garcia-perez et al., Extending tool-life through jerk-limited motion dynamics in machining processes: An experimental study, vol.69, pp.919-925, 2010.

P. J. Rosch, ISMA-USA newsletter. The International Stress Management Association, vol.25, p.14, 2001.

O. Russakovsky, L. Li, and L. Fei-fei, Best of both worlds: Human-machine collaboration for object annotation, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), p.19, 2015.

, Klaus Schwab. The Fourth Industrial Revolution, p.13, 2016.

, Jochen Schwarze. Graphics Gems, vol.62, pp.404-407, 1990.

W. Shaowei and W. Shanming, Velocity and acceleration computations by single-dimensional Kalman filter with adaptive noise variance, Przeglad Elektrotechniczny, pp.283-287, 2012.

C. Shin and . Kim, Human-Like Motion Generation and Control for Humanoid's Dual Arm Object Manipulation, IEEE Transactions on Industrial Electronics, vol.62, issue.4, p.28, 2015.

B. Siciliano and O. Khatib, Springer Handbook of Robotics, vol.32, 2016.

D. Sidobre and W. He, Online task space trajectory generation, IEEE/RSJ International Conference on Intelligent Robots and Systems, vol.34, p.37, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01994902

D. Sidobre and K. Desormeaux, Smooth Cubic Polynomial Trajectories for Human-Robot Interactions, Journal of Intelligent & Robotic Systems, vol.95, issue.3, p.42, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01672043

L. F. Emrah-akin-sisbot, R. Marin-urias, T. Alami, and . Simeon, A Human Aware Mobile Robot Motion Planner, IEEE Transactions on Robotics, vol.23, issue.5, p.26, 2007.

. Emrah-akin, L. F. Sisbot, X. Marin-urias, D. Broquère, R. Sidobre et al., Synthesizing Robot Motions Adapted to Human Presence, International Journal of Social Robotics, vol.2, issue.3, p.27, 2010.

P. Strobach, The fast quartic solver, Journal of Computational and Applied Mathematics, vol.234, issue.10, pp.3007-3024, 2010.

. Peter-strobach, The Low-Rank LDLT Quartic Solver, AST-Consulting Technical Report, vol.10, issue.2.1, pp.3955-7440, 2015.

E. Szadeczky-kardoss and B. Kiss, Tracking Error Based On-line Trajectory Time Scaling, 2006 International Conference on Intelligent Engineering Systems, p.86, 2006.

G. Tonietti, R. Schiavi, and A. Bicchi, Design and Control of a Variable Stiffness Actuator for Safe and Fast Physical Human/Robot Interaction, Proceedings of the 2005 IEEE International Conference on Robotics and Automation, p.25, 2005.

V. Villani, F. Pini, F. Leali, and C. Secchi, Survey on human-robot collaboration in industrial settings: Safety, intuitive interfaces and applications, Mechatronics, vol.55, pp.248-266, 2018.

G. Welch, An Introduction to the Kalman Filter, vol.16, 1997.

V. Zanotto, A. Gasparetto, A. Lanzutti, P. Boscariol, and R. Vidoni, Experimental Validation of Minimum Timejerk Algorithms for Industrial Robots, Journal of Intelligent & Robotic Systems, vol.64, issue.2, p.36, 1933.

R. Zhao, D. Sidobre, and W. He, Online via-points trajectory generation for reactive manipulations, IEEE/ASME International Conference on Advanced Intelligent Mechatronics, vol.35, p.43, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01764048

R. Zhao and D. Sidobre, Dynamic Obstacle Avoidance using Online Trajectory Time-scaling and Local Replanning, Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics, p.86, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01764018

R. Zhao and S. Ratchev, On-line trajectory planning with timevariant motion constraints for industrial robot manipulators, vol.85, p.86, 2017.