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Abstract This study proposes a biped robot pelvis kinematics estimator based on the touch point updating method Because the pelvis frame is used as the base coordinate for the control the kinematics of it with respect to the global frame should be precisely estimated To this end it was necessary to know where the robot made contact with the ground The touch point concept was introduced as the temporal contact point which was instantly the robot s rotation center By updating this point the biped s global pelvis kinematics could be estimated The proposed estimator was implemented into the actual robot and its superiority was verified through ground truth data Index Terms Humanoid robot state estimation pelvis kinematics estimation contact point estimation biped walking geometry reconstruction I INTRODUCTION iped robots are multi degree of freedom robots possessing shape similar to that of humans Recently biped humanoid robots with various functions and forms have been developed 1 4 Previously these robots were only required to operate within a limited environment Recently however they have been required to operate within various complex environments To this end hardware and control algorithms should be developed harmoniously In particular real time techniques to estimate the accurate state of a biped robot are required to achieve the desired performance An accurate and fast state estimation enables a more sophisticated feedback controller design which allows the robot to cope with various dynamic situations more efficiently Among the various states it is particularly important to accurately estimate the pelvis kinematics position and orientation of the pelvis frame because the pelvis kinematics information is the basis of other estimators and the pelvis frame is typically used as the base frame for robot control Accordingly many existing studies employ their own pelvis kinematics estimation framework This work was supported by Development of core technology for advanced locomotion manipulation based on high speed power robot platform and robot intelligence 10070171 project from the Ministry of Trade Industry and Energy MOTIE of the Republic of Korea Hyoin Bae Jaesung Oh Hyun Min Joe and Jun Ho Oh are with the Humanoid Research Center School of Mechanical Aerospace 2 Calculate forward Kinematics w t robot frame Current Touch point Pos Forward Kinematics Sensor Encoder Sensor FT Current Contact foot Model Parameter 3 Calculate touch point variation w t robot frame Delta Touch point Current Touch point Pos Prev Touch point Pos 4 Update global touch point position Pelvis rotation Matrix Rotation M Sensor FOG roll Sensor FOG pitch Sensor FOG yaw Current Global Touch point Prev Global Touch point Pelvis rotation Matrix Delta Touch point 5 Calculate global pelvis position Current Global Pelvis Pos Current Global Touch point Pelvis rotation Matrix Current Touch point Pos COM Kinematics Estimation 7509 ACKNOWLEDGMENT This work was supported by Development of core technology for advanced locomotion manipulation based on high speed power robot platform and robot intelligence 10070171 project from the Ministry of Trade Industry and Energy MOTIE of the Republic of Korea REFERENCES 1 Jung T Lim J Bae H Lee K K Joe H M Oh J H 2018 Development of the Humanoid Disaster Response Platform DRC HUBO IEEE Transactions on Robotics 34 1 1 17 doi 10 1109 TRO 2017 2776287 2 Hirose M Ogawa K 2007 Honda humanoid robots development Philosophical Transactions of the Royal Society of London A Mathematical Physical and Engineering Sciences 365 1850 11 19 doi 10 1098 rsta 2006 1917 3 Johnson M Shrewsbury B Bertrand S Wu T Duran D Floyd M Carff J 2015 Team IHMC s lessons learned from the DARPA robotics challenge trials Journal of Field Robotics 32 2 192 208 doi 10 1002 rob 21571 4 Kaneko K Harada K Kanehiro F Miyamori G Akachi K 2008 September Humanoid robot HRP 3 In Intelligent Robots and Systems 2008 IROS 2008 IEEE RSJ International Conference on pp 2471 2478 IEEE doi 10 1109 IROS 2008 4650604 5 Marques L Lobo J Dias J Nunes U De Almeida A T 1999 Sensors for legged mobile robots In Proc of 2nd Int Workshop on Climbing Walking Robots pp 33 58 6 Oriolo G Paolillo A Rosa L Vendittelli M 2012 November Vision based odometric localization for humanoids using a kinematic EKF In Humanoid Robots Humanoids 2012 12th IEEE RAS International Conference on pp 153 158 IEEE doi 10 1109 HUMANOIDS 2012 6651513 7 Fallon M F Antone M Roy N Teller S 2014 November Drift free humanoid state estimation fusing kinematic inertial and lidar sensing In Humanoid Robots Humanoids 2014 14th IEEE RAS International Conference on pp 112 119 IEEE doi 10 1109 HUMANOIDS 2014 7041346 8 Kuindersma S Deits R Fallon M Valenzuela A Dai H Permenter F Tedrake R 2016 Optimization based locomotion planning estimation and control design for the atlas humanoid robot Autonomous Robots 40 3 429 455 doi 10 1007 s10514 015 9479 3 9 Masuya K Sugihara T 2015 Dead reckoning for biped robots that suffers less from foot contact condition based on anchoring pivot estimation Advanced Robotics 29 12 785 799 doi 10 1080 01691864 2015 1011694 10 Masuya K Sugihara T 2016 COM motion estimation of a biped robot based on kinodynamics and torque equilibrium Advanced Robotics 30 10 691 703 doi 10 1080 01691864 2016 1150201 11 Rotella N Bloesch M Righetti L Schaal S 2014 September State estimation for a humanoid robot In Intelligent Robots and Systems IROS 2014 2014 IEEE RSJ International Conference on pp 952 958 IEEE doi 10 1109 IROS 2014 6942674 12 Xinjilefu X Feng S Huang W Atkeson C G 2014 May Decoupled state estimation for humanoids using full body dynamics In Robotics and Automation ICRA 2014 IEEE International Conference on pp 195 201 IEEE doi 10 1109 ICRA 2014 6906609 13 Xinjilefu X Feng S Atkeson C G 2014 September Dynamic state estimation using quadratic programming In Intelligent Robots and Systems IROS 2014 2014 IEEE RSJ International Conference on pp 989 994 IEEE doi 10 1109 IROS 2014 6942679 14 Pongsak L Okada M Nakamura Y 2002 Optimal filtering for humanoid robot state estimators In Proceedings of SICE System Integration Division Annual Conference SI2002 2P13 04 15 Lowrey K Dao J Todorov E 2016 November Real time state estimation with whole body multi contact dynamics A modified UKF approach In Humanoid Robots Humanoids 2016 IEEE RAS 16th International Conference on pp 1225 1232 IEEE doi 10 1109 HUMANOIDS 2016 7803426 16 Kaneko K Kanehiro F Kajita S Morisawa M Fujiwara K Harada K Hirukawa H 2005 August Slip observer for walking on a low friction floor In Intelligent Robots and Systems 2005 IROS 2005 2005 IEEE RSJ International Conference on pp 634 640 IEEE doi 10 1109 IROS 2005 1545184 17 Lee Y Lee H Hwang S Par

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