Abstract
This paper proposes a calibration algorithm of a spring static balancer to overcome uncertainties of link parameters or spring constants. The location of the spring attachment is adjusted in this paper considering unbalancing torques. Various algorithms are suggested to determine the location of the spring attachment: 1) an estimation algorithm for static situation is derived from the design equation of the space mapping method; 2) TDE (time delay estimation) is adopted to derive estimation algorithms; 3) an estimation algorithm with no joint torque sensing is derived on the basis of TDE. TDE is adopted to estimate unbalancing static torques. The proposed algorithms are evaluated with the two-dof (degree of freedom) manipulator with the bevel gravity compensator in that two springs are located at the same link. Performances of the proposed algorithms are compared with experimental results. Application to the case of the varying load is discussed and it is showed that the suggested algorithms are applicable to the both cases of uncertainties and varying loads.
Similar content being viewed by others
References
Kram, R., Domingo, A., and Ferris, D. P., “Effect of Reduced Gravity on the Preferred Walk-Run Transition Speed,” Journal of Experimental Biology, Vol. 200, No. 4, pp. 821–826, 1997.
Frey, M., Colombo, G., Vaglio, M., Bucher, R., Jorg, M., and Riener, R., “A Novel Mechatronic Body Weight Support System,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, Vol. 14, No. 3, pp. 311–321, 2006.
Agrawal, A. and Agrawal, S. K., “Design of Gravity Balancing Leg Orthosis Using Non-Zero Free Length Springs,” Mechanism and Machine Theory, Vol. 40, No. 6, pp. 693–709, 2005.
Hirose, S., Ishii, T., and Haishi, A., “Float Arm V: Hyper-Redundant Manipulator with Wire-Driven Weight-Compensation Mechanism,” Proc. of IEEE International Conference on Robotics and Automation, pp. 368–373, 2003.
Wyrobek, K. A., Berger, E. H., Van der Loos, H. M., and Salisbury, J. K., “Towards a Personal Robotics Development Platform: Rationale and Design of an Intrinsically Safe Personal Robot,” Proc. of IEEE International Conference on Robotics and Automation, pp. 2165–2170, 2008.
Kim, H.-S. and Song, J.-B., “Multi-DOF Counterbalance Mechanism for a Service Robot Arm,” IEEE/ASME Transactions on Mechatronics, Vol. 19, No. 6, pp. 1756–1763, 2014.
Gosselin, C. M. and Wang, J., “On the Design of Gravity-Compensated Six-Degree-of-Freedom Parallel Mechanisms,” Proc. of IEEE International Conference on Robotics and Automation, pp. 2287–2294, 1998.
Russo, A., Sinatra, R., and Xi, F., “Static Balancing of Parallel Robots,” Mechanism and Machine Theory, Vol. 40, No. 2, pp. 191–202, 2005.
Liu, T., Gao, F., Zhao, X., and Qi, C., “Static Balancing of a Spatial Six-Degree-of-Freedom Decoupling Parallel Mechanism,” Journal of Mechanical Science and Technology, Vol. 28, No. 1, pp. 191–199, 2014.
Cho, C. and Kim, S., “Static Balancer for the Neck of a Face Robot,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 228, No. 3, pp. 561–568, 2014.
Nathan, R., “A Constant Force Generation Mechanism,” Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 107, No. 4, pp. 508–512, 1985.
Ulrich, N. and Kumar, V., “Passive Mechanical Gravity Compensation for Robot Manipulators,” Proc. of IEEE International Conference on Robotics and Automation, pp. 1536–1541, 1991.
Koser, K., “A CAM Mechanism for Gravity-Balancing,” Mechanics Research Communications, Vol. 36, No. 4, pp. 523–530, 2009.
Endo, G., Yamada, H., Yajima, A., Ogata, M., and Hirose, S., “A Passive Weight Compensation Mechanism with a Non-Circular Pulley and a Spring,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), pp. 3843–3848, 2010.
Morita, T., Kuribara, F., Shiozawa, Y., and Sugano, S., “A Novel Mechanism Design for Gravity Compensation in Three Dimensional Space,” Proc. of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, pp. 163–168, 2003.
Cho, C., Lee, W., Lee, J., and Kang, S., “A 2-DOF Gravity Compensator with Bevel Gears,” Journal of Mechanical Science and Technology, Vol. 26, No. 9, pp. 2913–2919, 2012.
van Ninhuijs, B., Jansen, J., Gysen, B. L., and Lomonova, E., “Multi-Degree-of-Freedom Spherical Permanent-Magnet Gravity Compensator for Mobile Arm Support Systems,” IEEE Transactions on Industry Applications, Vol. 50, No. 6, pp. 3628–3636, 2014.
Cui, M., Wang, S., and Li, J., “Spring Gravity Compensation Using the Noncircular Pulley and Cable for the Less-Spring Design,” Proc. of the 14th IFTOMM World Congress, pp. 25–30, 2015.
Lacasse, M.-A., Lachance, G., Boisclair, J., Ouellet, J., and Gosselin, C., “On the Design of a Statically Balanced Serial Robot Using Remote Counterweights,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), pp. 4189–4194, 2013.
Arakelian, V. and Ghazaryan, S., “Improvement of Balancing Accuracy of Robotic Systems: Application to Leg Orthosis for Rehabilitation Devices,” Mechanism and Machine Theory, Vol. 43, No. 5, pp. 565–575, 2008.
Choo, J. H. and Park, J. H., “Increasing Payload Capacity of Wearable Robots Employing Linear Actuators and Elastic Mechanism,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 5, pp. 661–671, 2017.
Hyun, D. J., Lim, H. S., Park, S. I., and Jung, K. M., “Development of Ankle-Less Active Lower-Limb Exoskeleton Controlled Using Finite Leg Function State Machine,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 6, pp. 803–811, 2017.
Moon, S. B., Ji, Y.-H., Jang, H.-Y., Hwang, S.-H., Shin, D.-B., et al., “Gait Analysis of Hemiplegic Patients in Ambulatory Rehabilitation Training Using a Wearable Lower-Limb Robot: a Pilot Study,” International Journal of Precision Engineering and Manufacturing, Vol. 18, No. 12, pp. 1773–1781, 2017.
Kim, S. H., Jeong, U. S., Park, D. G., Koo, I. W., and Cho, K. J., “Design and Evaluation of the Control Performance of a Compliant Arm Support,” Journal of the Korean Society for Precision Engineering, Vol. 34, No. 2, pp. 115–123, 2017.
Fahim, A. and Fernandez, M., “Performance Enhancement of Robot Arms through Active Counterbalancing,” The International Journal of Advanced Manufacturing Technology, Vol. 3, No. 4, pp. 63–72, 1988.
Carricato, M. and Gosselin, C., “A Statically Balanced Gough/Stewart-Type Platform: Conception, Design, and Simulation,” Journal of Mechanisms and Robotics, Vol. 1, No. 3, Paper No. 031005, 2009.
Kakebayashi, T., “Load Compensating Mechanism,” Japan Patent, JP-0119249, 2007.
Takesue, N., Ikematsu, T., Murayama, H., and Fujimoto, H., “Design and Prototype of Variable Gravity Compensation Mechanism (VGCM),” Journal of Robotics and Mechatronics, Vol. 23, No. 2, pp. 249–257, 2011.
Barents, R., Schenk, M., van Dorsser, W. D., Wisse, B. M., and Herder, J. L., “Spring-to-Spring Balancing as Energy-Free Adjustment Method in Gravity Equilibrators,” Journal of Mechanical Design, Vol. 133, No. 6, Paper No. 061010, 2011.
Briot, S. and Arakelian, V., “A New Energy-Free Gravity-Compensation Adaptive System for Balancing of 4-DOF Robot Manipulators with Variable Payloads,” Proc. of the Fourteenth International Federation for the Promotion of Mechanism and Machine Science World Congress, pp. 179–187, 2015.
Hacksel, P. and Salcudean, S., “Estimation of Environment Forces and Rigid-Body Velocities Using Observers,” Proc. of IEEE International Conference on Robotics and Automation, pp. 931–936, 1994.
Ohishi, K., “Sensorless Force Control using H/spl infin/ Acceleration Controller,” Proc. of Asia-Pacific Workshop on Advances in Motion Control, pp. 13–18, 1993.
Ohishi, K. and Ohde, H., “Collision and Force Control for Robot Manipulator without Force Sensor,” Proc. of 20th International Conference on Industrial Electronics, Control and Instrumentation, pp. 766–771, 1994.
Smith, A. C. and Hashtrudi-Zaad, K., “Application of Neural Networks in Inverse Dynamics Based Contact Force Estimation,” Proc. of IEEE Conference on Control Applications, pp. 1021–1026, 2005.
Aksman, L. M., Carignan, C. R., and Akin, D. L., “Force Estimation Based Compliance Control of Harmonically Driven Manipulators,” Proc. of IEEE International Conference on Robotics and Automation, pp. 4208–4213, 2007.
Jin, M., Kang, S. H., and Chang, P. H., “Robust Compliant Motion Control of Robot with Nonlinear Friction Using Time-Delay Estimation,” IEEE Transactions on Industrial Electronics, Vol. 55, No. 1, pp. 258–269, 2008.
Chang, P. H. and Jeong, J. W., “Enhanced Operational Space Formulation for Multiple Tasks by Using Time-Delay Estimation,” IEEE Transactions on Robotics, Vol. 28, No. 4, pp. 773–786, 2012.
Ghanbari, A., Chang, P. H., Choi, H., and Nelson, B. J., “Time Delay Estimation for Control of Microrobots under Uncertainties,” Proc. of IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), pp. 862–867, 2013.
Fang, H., Shi, Y., and Yi, J., “On Stable Simultaneous Input and State Estimation for Discrete-Time Linear Systems,” International Journal of Adaptive Control and Signal Processing, Vol. 25, No. 8, pp. 671–686, 2011.
Phong, L. D., Choi, J., and Kang, S., “External Force Estimation Using Joint Torque Sensors for a Robot Manipulator,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), pp. 4507–4512, 2012.
Phong, D. L., Choi, J., Lee, W., and Kang, S., “A Novel Method for Estimating External Force: Simulation Study with a 4-DOF Robot Manipulator,” International Journal of Precision Engineering and Manufacturing, Vol. 16, No. 4, pp. 755–766, 2015.
Kim, G. T., “Study on Gravitational Torque Estimation and Compensation in Electrically Driven Satellite Antenna System,” Journal of the Korean Society for Precision Engineering Vol. 33, No. 10, pp. 789–796, 2016.
Cho, C. and Kang, S., “Design of a Static Balancing Mechanism for a Serial Manipulator with an Unconstrained Joint Space Using One-DOF Gravity Compensators,” IEEE Transactions on Robotics, Vol. 30, No. 2, pp. 421–431, 2014.
Author information
Authors and Affiliations
Corresponding author
Additional information
Chang-Hyun Cho Received the B.S. and M.S. degrees in Mechanical Engineering from Kyunghee University, Suwon, Rep. of Korea, in 1997 and 1999, respectively, and the Ph.D. degree in the same discipline from Korea University, Seoul, Rep. of Korea, in 2005. He was a member of the faculty of the Department of Control, Instruments, and Robotics, Chosun University, Kwangju, Korea, from 2008 to 2013. He has joined the faculty of School of Mechanical System & Automotive Engineering, Chosun University since 2014, and is currently a Professor. His current research interests involve mechanism design and the control of robotic systems.
Mun-Taek Choi Received his B.S., M.S. and Ph.D. degree in Aerospace and Mechanical Engineering from University of Southern California in 1994, 1997 and 2000, respectively. He is an Associate Professor at Sungkyunkwan University, Republic of Korea. His research interests include robot learning, big data analysis on robotic applications and dynamics & control of mechanical systems. He currently works on projects developing robotic services for diagnosing and training children with disabilities; identifying and improving geriatric mood disorder from dementia; and assisting rehabilitation of patients with motor disorders from stroke or spinal cord disease.
Rights and permissions
About this article
Cite this article
Cho, CH., Choi, MT. Calibration Algorithm of a Spring Static Balancer. Int. J. Precis. Eng. Manuf. 19, 1477–1485 (2018). https://doi.org/10.1007/s12541-018-0174-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12541-018-0174-0