Abstract
A new parametric observer for identifying the system parameters of a single-link flexible-joint manipulator is presented. The design achieves the desired goals provided two conditions are satisfied, i.e., the basis functions are linearly independent in terms of the steady-state trajectories and the parameter errors converge to some constants eventually. It can be incorporated with any a control scheme sustaining such steady-state trajectories. No acceleration signals are required. However, the motor inertia must be given a priori. Numerical study of the proposed scheme with a specific robust control law is undertaken to demonstrate its validity.
Similar content being viewed by others
References
Armstrong, B.: On finding exciting trajectories for identification experiments involving systems with nonlinear dynamics, Internat. J. Robotic Res. 8(6) (1989), 28–48.
Bridges, M. M., Dawson, D. M., and Abdallah, C. T.: Control of rigid-link, flexible-joint robots: A survey of backstepping approach, J. Robotic Systems 12(3) (1995), 199–216.
Chen, C. T.: Introduction to Linear System Theory, Holt, Rinehart and Winston, New York, 1986.
Dépincé, P.: Parameter identification of flexible robots, in: Proc. of the IEEE Conf. on Robotics and Automation, Leuven, Belgium, 1998, pp. 1116–1121.
Elmaraghy, H. A., Lahdhiri, T., and Ciuca, F.: Robust linear control of flexible joint robot systems, J. Intelligent Robotic Systems 34 (2002), 335–356.
Gautier, M. and Khalil, W.: Exciting trajectories for the identification of base inertial parameters of robots, Internat. J. Robotic Res. 11(4) (1992), 362–375.
Ghorbel, F., Hung, J., and Spong, M.W.: Adaptive control of flexible-joint manipulators, IEEE Control Systems Mag. 9 (1989), 9–13.
Huang, J. T.: An adaptive compensator for a class of linearly parameterized systems, IEEE Trans. Automat. Control 37(3) (2002), 483–486.
Ioannou, P. A. and Sun, J.: Robust Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1996.
Kozlowski, K.: Modeling and Identification in Robotics, Springer, London, 1998.
KrstiĆ, M., Kanellakopoulos, I., and KokotoviĆ, P. V.: Nonlinear and Adaptive Control Design, Wiley, New York, 1996.
Ljung, L.: System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ, 1987.
Narendra, K. S. and Annaswamy, A. M.: Stable Adaptive Systems, Prentice-Hall, Englewood Cliffs, NJ, 1989.
Pham, M. T., Gautier, M., and Poignet, P.: Accelerometer based identification of mechanical systems, in: Proc. of the IEEE Conf. on Robotics and Automation,Washingtion, DC, May 2002, pp. 4293–4298.
Sira-Ramirez, H., Ahmad, S., and Zribi, M.: Dynamical feedback control of robot manipulators with joint flexibility, IEEE Trans. Systems Man Cybernet. 22 (1992), 736–747.
Spong, M. W.: Modeling and control of elastic joint robots, ASME J. Dyn. Systems Measm. Control 109 (1987), 310–319.
Swevers, J., Ganseman, C., Bilgin, D., De Schutter, J., and Van Brussel, H.: Optimal robot excitation and identification, IEEE Trans. Robotics Automat. 13(5) (1997), 730–740.
Tomei, P.: Tracking control of flexible joint robots with uncertain parameters and disturbances, IEEE Trans. Automat. Control 39 (1994), 1067–1072.
Tzes, A. P. and Yurkovich, S.: Application and comparison of on-line identification methods for flexible manipulator control, Internat. J. Robotics Res. 10(5) (1991), 515–527.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Huang, J.T. A New Approach to Parametric Identification of a Single-Link Flexible-Joint Manipulator. Journal of Intelligent and Robotic Systems 37, 273–284 (2003). https://doi.org/10.1023/A:1025435418131
Issue Date:
DOI: https://doi.org/10.1023/A:1025435418131