Research Papers

Global Identification of Joint Drive Gains and Dynamic Parameters of Robots

[+] Author and Article Information
Maxime Gautier

Institut de Recherche en Communications
et Cybernétique de Nantes (IRCCyN),
UMR CNRS 6597,
1 rue de la Noë, BP 92101,
F-44321 Nantes Cedex 03, France
University of Nantes,
2 Chemin de la Houssinière,
Nantes 44300, France
e-mail: Maxime.Gautier@irccyn.ec-nantes.fr

Sébastien Briot

Institut de Recherche en Communications
et Cybernétique de Nantes (IRCCyN),
UMR CNRS 6597,
1 rue de la Noë, BP 92101,
F-44321 Nantes Cedex 03, France
e-mail: Sebastien.Briot@irccyn.ec-nantes.fr

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 3, 2013; final manuscript received April 22, 2014; published online July 10, 2014. Assoc. Editor: Jwu-Sheng Hu.

J. Dyn. Sys., Meas., Control 136(5), 051025 (Jul 10, 2014) (9 pages) Paper No: DS-13-1373; doi: 10.1115/1.4027506 History: Received October 03, 2013; Revised April 22, 2014

Off-line robot dynamic identification methods are based on the use of the inverse dynamic identification model (IDIM), which calculates the joint forces/torques that are linear in relation to the dynamic parameters, and on the use of linear least squares technique to calculate the parameters (IDIM-LS technique). The joint forces/torques are calculated as the product of the known control signal (the input reference of the motor current loop) by the joint drive gains. Then it is essential to get accurate values of joint drive gains to get accurate estimation of the motor torques and accurate identification of dynamic parameters. The previous works proposed to identify the gain of one joint at a time using data of each joint separately. This is a sequential procedure which accumulates errors from step to step. To overcome this drawback, this paper proposes a global identification of the drive gains of all joints and the dynamic parameters of all links. They are calculated altogether in a single step using all the data of all joints at the same time. The method is based on the total least squares solution of an overdetermined linear system obtained with the inverse dynamic model calculated with available input reference of the motor current loop and joint position sampled data while the robot is tracking some reference trajectories without load on the robot and some trajectories with a known payload fixed on the robot. The method is experimentally validated on an industrial Stäubli TX-40 robot.

Copyright © 2014 by ASME
Topics: Robots , Errors
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Canudas de Wit, C., and Aubin, A., 1990, “Parameters Identification of Robots Manipulators Via Sequential Hybrid Estimation Algorithms,” Proceeding of IFAC Congress, Tallinn, Russia, pp. 178–183.
Gautier, M., and Poignet, P., 2001, “Extended Kalman Filtering and Weighted Least Squares Dynamic Identification of Robot,” Control Eng. Pract., 9, pp. 1361–1372. [CrossRef]
Antonelli, G., Caccavale, F., and Chiacchio, P., 1999, “A Systematic Procedure for the Identification of Dynamic Parameters of Robot Manipulators,” Robotica, 17(4), pp. 427–435. [CrossRef]
Kozlowski, K., 1998, Modeling and Identification in Robotics, Springer, London.
Hollerbach, J., Khalil, W., and Gautier, M., 2008, “Model Identification,” Springer Handbook of Robotics, B.Siciliano and O.Khatib, eds., Springer, London, Chap. 14.
Khalil, W., and Dombre, E., 2002, Modeling, Identification and Control of Robots, Hermes Penton, London.
Khosla, P. K., and Kanade, T., 1985, “Parameter Identification of Robot Dynamics,” Proceeding of 24th IEEE CDC, Fort-Lauderdale, FL, pp. 1754–1760.
Lu, Z., Shimoga, K. B., and Goldenberg, A., 1993, “Experimental Determination of Dynamic Parameters of Robotic Arms,” J. Rob. Syst., 10(8), pp. 1009–1029. [CrossRef]
Restrepo, P. P., and Gautier, M., 1995, “Calibration of Drive Chain of Robot Joints,” Proceedings of the 4th IEEE Conference on Control Applications, Albany, NY, pp. 526–531.
Corke, P., 1996, “In Situ Measurement of Robot Motor Electrical Constants,” Robotica, 23(14), pp. 433–436. [CrossRef]
Gautier, M., and Briot, S., 2011, “New Method for Global Identification of the Joint Drive Gains of Robots Using a Known Inertial Payload,” Proceeding of IEEE ECC CDC, Orlando, FL, Dec. 12–15.
Gautier, M., and Briot, S., 2011, “New Method for Global Identification of the Joint Drive Gains of Robots Using a Known Payload Mass,” Proceeding of IEEE IROS, San Francisco, CA, Sept. 25–30, pp. 3728–3733.
Gautier, M., and Briot, S., 2012, “Global Identification of Drive Gains Parameters of Robots Using a Known Payload,” Proceeding of IEEE ICRA, Saint Paul, MI, May 14–18, pp. 2812–2817.
Hamon, P., Gautier, M., and Garrec, P., 2011, “New Dry Friction Model With Load- and Velocity-Dependence and Dynamic Identification of Multi-DOF Robots,” Proceedings of the IEEE International Conference on Robotics and Automation, Shanghai, China, pp. 1077–1084.
Mayeda, H., Yoshida, K., and Osuka, K., 1990, “Base Parameters of Manipulator Dynamic Models,” IEEE Trans. Rob. Autom., 6(3), pp. 312–321. [CrossRef]
Gautier, M., and Khalil, W., 1990, “Direct Calculation of Minimum Set of Inertial Parameters of Serial Robots,” IEEE Trans. Rob. Autom., 6(3), pp. 368–373. [CrossRef]
Gautier, M., 1991, “Numerical Calculation of the Base Inertial Parameters,” J. Rob. Syst., 8(4), pp. 485–506. [CrossRef]
Khalil, W., Gautier, M., and Lemoine, P., 2007, “Identification of the Payload Inertial Parameters of Industrial Manipulators,” Proceeding of IEEE ICRA, Roma, Italy, Apr. 10–14, pp. 4943–4948.
Gautier, M., 1997, “Dynamic Identification of Robots With Power Model,” Proceeding of IEEE ICRA, Albuquerque, NM, Apr. 20–25, pp. 1922–1927.
Kavanagh, R. C., 2001, “Performance Analysis and Compensation of M/T-Type Digital Tachometers,” IEEE Trans. Instrum. Meas., 50(4), pp. 965–970. [CrossRef]
Swevers, J., Ganseman, C., Tukel, D., DeSchutter, J., and Van Brussel, H., 1997, “Optimal Robot Excitation and Identification,” IEEE Trans. Rob. Autom., 13, pp. 730–740. [CrossRef]
Presse, C., and Gautier, M., 1993, “New Criteria of Exciting Trajectories for Robot Identification,” Proceeding of IEEE ICRA, Atlanta, GA, May 2–6, pp. 907–912.
Rao, C. R., and Toutenburg, H., 1999, Linear Models: Least Squares and Alternatives, Second Edition (Springer Series in Statistics), Springer, New York.
Van Huffel, S., and Vandewalle, J., 1991, “The Total Least Squares Problem: Computational Aspects and Analysis,” (Frontiers in Applied Mathematics Series), SIAM, Philadelphia, PA, Vol. 9.
Markovsky, I., and Van Huffel, S., 2007, “Overview of Total Least-Squares Methods,” Signal Process., 87, pp. 2283–2302. [CrossRef]
Markovsky, I., Sima, D. M., and Van Huffel, S., 2010, “Total Least Squares Methods,” WIREs Comput. Stat., 2(2), pp. 212–217. [CrossRef]
Van Huffel, S., 1991, “The Generalized Total Least Squares Problem: Formulation, Algorithm and Properties,” Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms, NATO ASI Ser., 70, pp. 651–660. [CrossRef]
Golub, G. H., and Van Loan, C. F., 1983, Matrix Computation, 2nd ed., Johns Hopkins University, Baltimore, MD.
Gautier, M., Vandanjon, P., and Presse, C., 1994, “Identification of Inertial and Drive Gain Parameters of Robots,” Proceeding of IEEE CDC, Lake Buena Vista, FL, Dec. 14–16, pp. 3764–3769.
Khalil, W., and Creusot, D., 1997, “Symoro+: A System for the Symbolic Modeling of Robots,” Robotica, 15, pp. 153–161. [CrossRef]
Chablat, D., and Wenger, P., 2003, “Architecture Optimization of a 3-DOF Parallel Mechanism for Machining Applications, the Orthoglide,” IEEE Trans. Rob. Autom., 19(3), pp. 403–410. [CrossRef]
Van der Wijk, V., Krut, S., Pierrot, F., and Herder, J., 2011, “Generic Method for Deriving the General Shaking Force Balance Conditions of Parallel Manipulators With Application to a Redundant Planar 4-RRR Parallel Manipulator,” Proceedings of the 13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico, June 19–25.


Grahic Jump Location
Fig. 1

TX-40 robot and its calibrated payload of 4.59 kg

Grahic Jump Location
Fig. 2

Motor torques (joint side units) calculated with identified gains (full thick line) and with IDIM (dotted thick line) of the TX-40 with the payload of 4.59 kg




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