A Cable-Driven Locomotion Interface provides a low inertia haptic interface and is used as a way of enabling the user to walk and interact with virtual surfaces. These surfaces generate Cartesian wrenches which must be optimized for each motorized reel in order to reproduce a haptic sensation in both feet. However, the use of wrench control requires a measure of the cable tensions applied to the moving platform. The latter measure may be inaccurate if it is based on sensors located near the reel. Moreover, friction hysteresis from the reel moving parts needs to be compensated for with an evaluation of low angular velocity of the motor shaft. Also, the pose of the platform is not known precisely due to cable sagging and mechanical deformation. This paper presents a non-ideal motorized reel design with its corresponding control strategy that aims at overcoming the aforementioned issues. A transfert function of the reel based on frequency responses in function of cable tension and cable length is presented with an optimal adaptative PIDF controller. Finally, an hybrid position/tension control is discussed with an analysis of the stability for achieving a complete functionnality of the haptic platform., {"references":["S. Perreault and C. Gosselin, \"Cable-driven parallel mechanisms: application\nto a locomotion interface,\" Journal of Mechanical Design,\nTransactions of the ASME, vol. 130, no. 10, pp. 102 301-1-8, 10 2008.","M. J.-D. Otis, M. Mokhtari, C. Du Tremblay, D. Laurendeau, F.-M.\nDe Rainville, and C. M. Gosselin, \"Hybrid control with multi-contact\ninteractions for 6dof haptic foot platform on a cable-driven locomotion\ninterface,\" in Symposium on Haptics Interfaces for Virtual Environment\nand Teleoperator Systems 2008 - Proceedings, Haptics, Piscataway, NJ\n08855-1331, United States, 2008, pp. 161 - 168.","J. E. Colgate and J. M. Brown, \"Factors affecting the z-width of a\nhaptic display,\" in Proceedings of the IEEE International Conference\non Robotics and Automation, vol. 4, San Diego, CA, USA, 05 1994, pp.\n3205 - 3210.","R. Adams, D. Klowden, and B. Hannaford, \"Stable haptic interaction\nusing the excalibur force display,\" in Proceedings of the IEEE International\nConference on Robotics and Automation, vol. 1, San Francisco,\nCA, USA, 2000, pp. 770 - 5.","I. Ebert-Uphoff and P. Voglewede, \"On the connections between cabledriven\nrobots, parallel manipulators and grasping,\" in Proceeding of the\nIEEE International Conference on Robotics and Automation, vol. 5, New\nOrleans, LA, USA, 2004, pp. 4521 - 6.","C. Bonivento, A. Eusebi, C. Melchiorri, M. Montanari, and G. Vassura,\n\"Wireman: a portable wire manipulator for touch-rendering of bas-relief\nvirtual surfaces,\" in Proceeding of the 8th International Conference on\nAdvanced Robotics, Monterey, CA, USA, 1997, pp. 13 - 18.","K. Kozak, Q. Zhou, and J. Wang, \"Static analysis of cable-driven\nmanipulators with non-negligible cable mass,\" IEEE Transactions on\nRobotics, vol. 22, no. 3, pp. 425 - 33, 06 2006.","E. Ottaviano, \"A system for tension monitoring in cable-based parallel\narchitectures,\" in Proceedings of the 12th IFToMM World Congress,\nBesanc┬©on, France, 06 2007.","F. Ferlay and F. Gosselin, \"A new cable-actuated haptic interface design,\"\nin Lecture Notes in Computer Science (including subseries Lecture Notes\nin Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5024\nNCS, Heidelberg, D-69121, Germany, 2008, pp. 474 - 483.\n[10] X. Diao and O. Ma, \"Vibration analysis of cable-driven parallel manipulators\nfor hardware-in-the-loop contact-dynamics,\" in Proceedings of\nthe ASME International Design Engineering Technical Conferences &\nComputer and Information in Engineering Conference, Las Vegas, NV,\nSeptember 2007.\n[11] C. F. Baicu, C. D. Rahn, and B. D. Nibali, \"Active boundary control of\nelastic cables: Theory and experiments,\" Journal of Sound and Vibration,\nvol. 198, no. 1, pp. 17 - 26, 1996.\n[12] T. Kabayashi and Y. Takahashi, \"Vibration control for two dimensional\nwire driven positioning robot,\" in Proceedings of the 37th SICE Annual\nConference, Tokyo, Japan, 1998, pp. 869 - 74.\n[13] M. Hiller, S. Fang, S. Mielczarek, R. Verhoeven, and D. Franitza,\n\"Design, analysis and realization of tendon-based parallel manipulators,\"\nMechanism and Machine Theory, vol. 40, no. 4, pp. 429 - 445, 2005.\n[14] J. Yoon and J. Ryu, \"A novel locomotion interface with two 6-dof\nparallel manipulators that allows human walking on various virtual\nterrains,\" International Journal of Robotics Research, vol. 25, no. 7,\npp. 689 - 708, 07 2006.\n[15] V. Duchaine and C. M. Gosselin, \"Investigation of human-robot interaction\nstability using lyapunov theory,\" in Proceedings - IEEE International\nConference on Robotics and Automation, Piscataway, NJ 08855-\n1331, United States, 2008, pp. 2189 - 2194.\n[16] B. Hannaford and J.-H. Ryu, \"Time-domain passivity control of haptic\ninterfaces,\" IEEE Transactions on Robotics and Automation, vol. 18,\nno. 1, pp. 1 - 10, 2002.\n[17] S. Fang, D. Franitza, M. Torlo, F. Bekes, and M. Hiller, \"Motion\ncontrol of a tendon-based parallel manipulator using optimal tension\ndistribution,\" IEEE/ASME Transactions on Mechatronics, vol. 9, no. 3,\npp. 561 - 8, 9 2004.\n[18] D. Theodorakatos, E. Stump, and V. Kumar, \"Kinematics and pose\nestimation for cable actuated parallel manipulators,\" in Proceedings of\nthe ASME International Design Engineering Technical Conferences and\nComputers and Information in Engineering Conference, vol. 8 PART B,\nLas Vegas, NV, United States, 2008, pp. 1053 - 1062.\n[19] M. J.-D. Otis, S. Perreault, T.-L. Nguyen-Dang, P. Lambert, M. Gouttefarde,\nD. Laurendeau, and C. M. Gosselin, \"Determination and management\nof cable interferences between two 6-dof foot platforms in a\ncable-driven locomotion interface,\" IEEE Transaction on Systems, Man\nand Cybernetics, Part A, in press.\n[20] F. Janabi-Sharifi, V. Hayward, and C.-S. Chen, \"Discrete-time adaptive\nwindowing for velocity estimation,\" IEEE Transactions on Control\nSystems Technology, vol. 8, no. 6, pp. 1003 - 1009, 11 2000.\n[21] J. Canny, \"A computational approach to edge detection,\" IEEE Transactions\non Pattern Analysis and Machine Intelligence, vol. PAMI-8, no. 6,\npp. 679 - 98, 11 1986.\n[22] C. C. de Wit, H. Olsson, K. Astrom, and P. Lischinsky, \"New model\nfor control of systems with friction,\" IEEE Transactions on Automatic\nControl, vol. 40, no. 3, pp. 419 - 425, 1995.\n[23] R. Kelly and J. Llamas, \"Determination of viscous and coulomb friction\nby using velocity responses to torque ramp inputs,\" IEEE International\nConference on Robotics and Automation, vol. 3, pp. 1740-1745, 1999.\n[24] F.-J. Elmer, \"Nonlinear dynamics of dry friction,\" Journal of Physics A:\nMathematical and General, vol. 30, no. 17, pp. 6057-6063, 1997.\n[25] R. G. Lanzara, \"Weber-s law modeled by the mathematical description\nof a beam balance,\" Mathematical Biosciences, vol. 122, no. 1, pp. 89\n- 94, 1994.\n[26] V. Duchaine and C. M. Gosselin, \"General model of human-robot\ncooperation using a novel velocity based variable impedance control,\"\nin Second Joint EuroHaptics Conference and Symposium on Haptic\nInterfaces for Virtual Environment and Teleoperator Systems, World\nHaptics 2007, Piscataway, NJ 08855-1331, United States, 2007, pp. 445\n- 451.\n[27] W.-X. Ren, G. Chen, and W.-H. Hu, \"Empirical formulas to estimate\ncable tension by cable fundamental frequency,\" Structural Engineering\nand Mechanics, vol. 20, no. 3, pp. 363 - 380, 2005.\n[28] J.-C. Shen and H.-K. Chiang, \"Pid tuning rules for second order\nsystems,\" in The 5th Asian Control Conference, vol. 1, Melbourne,\nAustralia, 7 2004, pp. 472-477.\n[29] N. J. Killingsworth and M. Krstic, \"Pid tuning using extremum seeking:\nOnline, model free-performance optimization,\" IEEE Control Systems\nMagazine, vol. 26, no. 1, pp. 70 - 79, 2006.\n[30] M. J.-D. Otis, T.-L. Nguyen-Dang, D. Laurendeau, and C. Gosselin,\n\"Extremum seeking tuning for reel tension control in haptic application,\"\nin Proceedings of the 2nd Mediterranean Conference on Intelligent\nSystems and Automation, Zarzis, Tunesie, 03 2009.\n[31] S. Shimano, M. Shiono, and K. Ohnishi, \"Estimation of acceleration by\nan ac tachogenerator and its applications to servo control,\" Electrical\nEngineering in Japan, vol. 110, no. 6, pp. 90 - 7, 1990"]}