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Hybrid Control Scheme for Robust Tracking of Two-Link Flexible Manipulator

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Abstract

The hybrid control scheme is proposed to stabilize the vibration of a two-link flexible manipulator while the robustness of Variable Structure Control (VSC) developed for rigid manipulators is maintained for controlling the joint angles. The VSC law alone, which is designed to accomplish only the asymptotic decoupled joint angle trajectory tracking, does not guarantee the stability of the flexible mode dynamics of the links. In order to actively suppress the flexible link vibrations, hybrid trajectories for the VSC are generated using the virtual control force concept, so that robust tracking control of the flexible-link manipulator can also be accomplished. Simulation results confirm that the proposed hybrid control scheme can achieve more robust tracking control of two-link flexible manipulator than the conventional control scheme in the presence of payload uncertainty.

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References

  1. Book, W. J., Maizza-Neto, O.M., and Whitney, D. E.: Feedback control of two beam, two joint systems with distributed flexibility, ASME J. Dyn. Systems Meas. Control 94 (1975), 424–431.

    Google Scholar 

  2. Fung, E. H. K. and Lee, C. K. M.: Variable structure tracking control of a single-link flexible arm using time-varying sliding surface, J. Robotic Systems 16(12) (1999), 715–726.

    Google Scholar 

  3. King, J. O., Gourishankar, V. G., and Rink, R. E.: Composite pseudolink end-point control of flexible manipulators, IEEE Trans. Systems Man Cybernet. 20(5) (1990), 969–977.

    Google Scholar 

  4. Kokotović, P. V., Khalil, H. K., and O'Reilly, J.: Singular Perturbation Methods in Control: Analysis and Design, Academic Press, London, 1986.

    Google Scholar 

  5. Lin, L. C. and Yeh, S. L.: A composite adaptive control with flexible quantity feedback for flexible-link manipulators, J. Robotic Systems 13(5) (1996), 289–302.

    Google Scholar 

  6. Moallem, M., Khorasani, K., and Patel, R. V.: Inversion-based sliding control of a flexible manipulator, Internat. J. Control 71(3) (1998), 477–490.

    Google Scholar 

  7. Paden, B. E. and Sastry, S. S.: Calculus for computing Fillippov's differential inclusion with application to the variable structure control of robot manipulator, IEEE Trans. Systems Circuits 34 (1987), 73–82.

    Google Scholar 

  8. Patel, R.V., Toda, M., and Sridhar, B.: Robustness of linear quadratic state feedback designs in the presence of system uncertainty, IEEE Trans. Automat. Control 21 (1978), 945–949.

    Google Scholar 

  9. Siciliano, B. and Book, W. J.: A singular perturbation approach to control of lightweight flexible manipulators, Internat. J. Robotics Res. 7(4) (1988), 79–90.

    Google Scholar 

  10. Singh, S. N. and Madhavan, S. K.: Variable structure trajectory control of an elastic robotic arm, J. Robotic Systems 10(1) (1993), 23–44.

    Google Scholar 

  11. Singh, S. N. and Nathan, P. J.: Sliding mode control and elastic mode stabilization of a robotic arm with flexible links, ASME J. Dyn. Systems Meas. Control 113 (1991), 669–676.

    Google Scholar 

  12. Signh, R. P., Vandervoort, R. J., and Likins, P.W.: Dynamics of flexible bodies in tree topology – A computer oriented approach, J. Guidance Control Dynamics 8 (1985), 584–590.

    Google Scholar 

  13. Slotine, J. J. and Li, W.: Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, 1991.

    Google Scholar 

  14. Whaien, M. and Sommer III, H. J.: Modal analysis and mode shape selection for modelling an experimental two-link flexible manipulator, in: Robotics Research-1990, ASME Dyn. Systems Control Division DSC 26 (1990), pp. 47–52.

    Google Scholar 

  15. Yang, J. H., Lian, F. L., and Fu, L. C.: Nonlinear adaptive control for flexible-link manipulators, IEEE Trans. Robotics Automat. 13(1) (1997), 140–148.

    Google Scholar 

  16. Yigit, A. S.: On the stability of PD control for a two-link rigid-flexible manipulator, ASME J. Dyn. Systems Meas. Control 116 (1994), 208–215.

    Google Scholar 

  17. Yim, O. and Woosoon, O.: Inverse Cartesian trajectory control and stabilization of a three-axis flexible manipulator, J. Robotic Systems 11(4) (1994), 311–326.

    Google Scholar 

  18. Young, K. D. and Özgüner, Ñ.: Frequency shaping compensator design for sliding mode, Internat. J. Control 57(5) (1993), 1005–1019.

    Google Scholar 

  19. Zaad, K. H. and Khorasani, K.: Control of non-minimum phase singularly perturbed systems with application to flexible-link manipulators, Internat. J. Control 63(4) (1996), 679–701.

    Google Scholar 

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Lee, SH., Lee, CW. Hybrid Control Scheme for Robust Tracking of Two-Link Flexible Manipulator. Journal of Intelligent and Robotic Systems 34, 431–452 (2002). https://doi.org/10.1023/A:1019691501134

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