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Differential Kinematics of Flexible Manipulator for Calibration of Model Parameters

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Robot Intelligence Technology and Applications 2012

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 208))

Abstract

In this paper, a noble algorithm was proposed which improves the accuracy of the manipulation of the robot by calibrating the model parameters such as the Denavit-Hartenberg parameters, joint compliances, and CM positions of the links. Even though the mechanical parts are manifactured and assembled accurately, always small differences between the designed and the actual system exist due to both the geometric and the unmodeled error. In order to resolve these problems, the proposed algorithm employs an estimation system which consists of a structured light module with a stationary camera and a screen. After derivation of the Jacobian which represents the relationship between the model parameters and the laser points on the screen, the model parameters are updated by using an iterative estimation algorithm such as least-squares manner. This algorithm is advanced by considering the joint flexibility from the previous work which used a rigid link model [1]. Effectiveness of the proposed algorithm was verified by the computer simulation with a 6 DOF manipulator robot.

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References

  1. Park, I.-W., Lee, B.-J., Cho, S.-H., Hong, Y.-D., Kim, J.-H.: Laser-Based Kinematic Calibration of Robot Manipulator Using Differential Kinematics. IEEE/ASME Trans. Mechatronics pp(99), early access articles

    Google Scholar 

  2. Alici, G., Shirinzadeh, B.: Enhanced stiffness modeling, identification and characterization for robor manipulators. IEEE Trans. Robot. 21(4), 554–564 (2005)

    Article  Google Scholar 

  3. Newman, W., Birkhimer, C., Horning, R.: Calibration of a motoman P8 robot based on laser tracking. In: Proc. IEEE Int. Conf. Robot. Autom., San Francisco, CA, pp. 3597–3602 (April 2000)

    Google Scholar 

  4. Omodei, A., Legnani, G., Adamini, R.: Three methodologies for the calibration of industrial manipulators: Experimental results on a SCARA robot. J. Robot. Syst. 17(6), 291–307 (2000)

    Article  MATH  Google Scholar 

  5. Omodei, A., Legnani, G., Adamini, R.: Calibration of a measuring robot: Experimental results on a 5 DOF structure. J. Robot. Syst. 18(5), 237–250 (2001)

    Article  MATH  Google Scholar 

  6. Alici, G., Shirinzadeh, B.: A systematic technique to estimate positioning errors for robot accuracy improvement using laser interferometry based sensing. Mech. Mach. Theory 40, 879–906 (2005)

    Article  MATH  Google Scholar 

  7. Alici, G., Jagielski, R., Sekercioglu, Y., Shirinzadeh, B.: Prediction of geometric errors of robot manipulators with particle swarm optimization method. Robot. Auton. Syst. 54, 956–966 (2006)

    Article  Google Scholar 

  8. O’brian, J., Bodenheimer, R., Brostow, G., Hodgins, J.: Automatic joint parameter estimation from magnetic motion capture data. In: Proc. Graph. Interface, pp. 53–60 (May 2000)

    Google Scholar 

  9. Renaud, P., Andreff, N., Lavest, J.-H., Dhome, M.: Simplifying the kinematic calibration of parallel mechanisms using vision-based methodology. IEEE Trans. Robot. 22(1), 12–22 (2006)

    Article  Google Scholar 

  10. Rauf, A., Pervez, A., Ryu, J.: Experimental results on kinematic calibration of parallel manipulators using a partial pose measurement device. IEEE Trans. Robot. 22(2), 379–384 (2006)

    Article  Google Scholar 

  11. Gatti, G., Danieli, G.: A practical approach to compensate for geometric errors in measuring arms: Application to a six-degree-of-freedom kinematic structure. Meas. Sci. Technol. 19(1), 015107-10-015107-12 (2008)

    Google Scholar 

  12. Santolaria, J., Aguilar, J., Yagye, J., Pastor, J.: kinematic parameter estimation technique for calibration and repeatability improvement of articulated arm coordinate measuring machines. Precis. Eng. 32, 251–268 (2008)

    Article  Google Scholar 

  13. Ye, S., Wang, Y., Ren, Y., Li, D.: Robot calibration using iteration and differential kinematics. J. Phys.: Conf. Series 48, 1–6 (2006)

    Article  Google Scholar 

  14. Iurascu, C.C., Park, F.C.: Geometric algorithms for kinematic calibration of robots containing closed loops. J. Mech. Design 125, 23–32 (2003)

    Article  Google Scholar 

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Correspondence to Bum-Joo Lee .

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Lee, BJ. (2013). Differential Kinematics of Flexible Manipulator for Calibration of Model Parameters. In: Kim, JH., Matson, E., Myung, H., Xu, P. (eds) Robot Intelligence Technology and Applications 2012. Advances in Intelligent Systems and Computing, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37374-9_35

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  • DOI: https://doi.org/10.1007/978-3-642-37374-9_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37373-2

  • Online ISBN: 978-3-642-37374-9

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