Abstract
This paper proposes a new solution for estimating the kinematic parameters of a manipulator, using a two-step linear estimator. The estimator is based on the recursive least-squares (RLS) method. The main characteristics of the method are that one singularity in estimation is overcome and parameters estimates approach the true values more quickly and smoothly than for algorithms using a one-step estimator. The algorithm can be applied for the estimation of parameters of both serial-link robots and robots having a kinematic closed-loop. Simulation results are given, comparing the proposed method with conventional approaches.
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Mirman, C. R. and Gupta, K. C.: Identification of position-independent robot parameter errors using special Jacobian matrices, Int. J. Robotics Res. 12(3) (1993), 288–298.
Jackson, E., Lin, Z. C., and Eddy, D.: A global formulation of robot manipulator kinematic calibration based on statistical consideratios, in: Proc. IEEE Conf. on Systems Man and Cybernetics, 1995, pp. 3328–3333.
Bay, S.: Autonomous parameter identification by optimal learning control, IEEE Control Systems (1993), 56–61.
Marić, P. and Potkonjak, V.: Estimation of geometrical parameters for modular robots, Facta Universitatis, Ser. Mechanics, Automatic Control and Robotics 1(5) (1995).
Khalil, W., Gautier, M., and Enguehard, Ch.: Identifiable parameters and optimum configurations for robots calibration, Robotica 9 (1991), 63–70.
Renders, J.-M., Rossignol, E., Besquet, M., and Hanus, R.: Kinematic calibration and geometrical parameter identification for robot, IEEE Trans. Robotics Automat. 7(6) (1991), 721–732.
Marić, P. and BožIć, M.: Overcoming one singularity in geometrical parameters estimation for robot manipulators, in: Proc. LASTED Internat. Conf. SIPA-96, 1996, pp. 127–130.
Kostadinov, V. D.: Geometric parameters estimation of robotic systems, in: Proc. IEEE Int. Conf. on Robotics and Automation, Vol. 2, 1991, pp. 964–969.
Vincze, M., Prenninger, J. P., and Gander, H.: A laser tracking system to measure position and orientation of robot end effectors under motion, Int. J. Robotics Res. 13(4) (1994), 305–314.
Kyle, S. A.: Optical methods for calibrating and inspecting robots, Comput. Control Engrg. J. 8 (1995), 166–173.
Khalil, W., Garcia, G., and Delagarde, J.-F.: Calibration of the geometric parameters of robots without external sensors, in: Proc. IEEE Int. Conf. on Robotics and Automation, Vol. 3, 1995, pp. 3039–3044.
Nahvi, A., Hollerbach, J. M., and Hayward, V.: Calibration of a parallel using multiple kinematic closed loops, in: Proc. IEEE Int. Conf. on Robotics and Automation, Vol. 1, 1994, pp. 407–412.
Edwards II, C. A. and Galloway, R. L.: A single-point calibration technique for a six degreeof-freedom articulated arm, Int. J. Robotics Res. 13(3) (1994), 189–198.
Bennett, D. J. and Hollerbach, J. M.: Autonomous calibration of single-loop closed kinematic chains formed by manipulators with passive endpoint constraints, IEEE Trans. Robotics Automat. 7(5) (1991), 597–606.
Bennett, D. J., Hollerbach, J. M., and Henri, P. D.: Kinematic calibration by direct estimation of the Jacobian matrix, in: Proc. IEEE Int. Conf. on Robotics and Automation, Vol. 1, 1992, pp. 351–357.
Wampler, C. W., Hollerbach, J. M., and Arai, T.: An implicit loop method for kinematic calibration and its application to closed-chain mechanisms, IEEE Trans. Robotics Automat. 11(5) (1995), 710–724.
Driels, M. R.: Automated partial pose measurement system for manipulator calibration experiments, IEEE Trans. Robotics Automat. 10(4) (1994), 430–440.
Zhong, X.-L. and Lewis, J. M.: A new method for autonomous robot calibration, in: Proc. IEEE Int. Conf. on Robotics and Automation, Vol. 2, 1995, pp. 1790–1795.
Soderstrom, T. and Stoica, P.: System Identification, Prentice-Hall, Englevood Cliffs, NJ, 1988.
Fu, K. S., Gonzalez, R. C., and Lee, C. S. G.: Robotics, McGraw-Hill, Singapore, 1987.
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Marić, P., Potkonjak, V. Geometrical Parameter Estimation for Industrial Manipulators Using Two-step Estimation Schemes. Journal of Intelligent and Robotic Systems 24, 89–97 (1999). https://doi.org/10.1023/A:1008025501030
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DOI: https://doi.org/10.1023/A:1008025501030