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Observer-Based Optimal Control of Flexible Stewart Parallel Robots

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Abstract

The design and simulation of two optimal control schemes for a parallel flexible link manipulator of the Stewart type is presented. The first control scheme combines a nonlinear rigid model of the flexible manipulator with a linear rigid observer, whereas the second scheme uses a nonlinear flexible manipulator model with a linear flexible observer. The majority of the results available in the literature do not address the optimal control problem through the use of observers, as it is done in this paper, for the control of parallel robots. The simulation results have shown in both cases that indeed optimal state-obscrver-based control is a good candidate for controlling parallel-link manipulators in practice. As expected, the second scheme (flexible model plus flexible observer) gives better results than the first one, achieving faster trajectory tracking. The effects of white noises, applied forces, and zero gravity environment were taken under consideration.

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References

  1. Astrom, K. J. and Wittenmark, B.: Computer Controlled Systems: Theory and Design, Prentice-Hall, Englewood Cliffs, NJ, 1983.

    Google Scholar 

  2. Fichter, E. F.: A Stewart platform-based manipulator: General theory and practical construction, Internat. Robotics Res. 5(2), 157–182.

  3. Franklin, G. F., Powell, J. D., and Abbas, E. N.: Feedback Control of Dynamic Systems, Addison-Wesley, Reading, MA, 1991, p. 405.

    Google Scholar 

  4. Gosselin, C.: Determination of the workspace of 6-dof parallel manipulators, Mechanical Design 112 (September 1990), 331–336.

  5. Hunt, K. H.: Structural kinematics of in-parallel-actuated robots-arms, Mechanisms, Transmissions and Automation in Design 105 (December 1983), 703–710.

  6. Kalman, R. E. and Bucy, R. S.: New results in linear filtering and prediction theory, Trans. ASME (J. Basic Engineering) 83D(1) (1961), 95–108.

    Google Scholar 

  7. Lee, J. D.: Application of optimal control theory to flexible robotic manipulators, Robotics and Computer-Integrated Manufacturing 7(3/4) (1990), 327–335.

    Google Scholar 

  8. Lee, J. D. and Geng, Z.: Dynamic model of flexible Stewart platform, Robotics and Computer-Integrated Manufacturing, submitted for publication.

  9. McCallion, H. and Truong, P. D.: The analysis of a six degree of freedom work station for mechanized assembly, in: Fifth World Congress for the Theory of Machines and Mechanisms, ASME Publication, 1979, pp. 611–616.

  10. Mohamed, M. G. and Daffy J.: A direct determination of the instantaneous kinematics of fully parallel robot manipulators, Mechanism, Transmissions and Automation in Design 107(2) (1985), 226–229.

    Google Scholar 

  11. Stewart, D.: A Platform with six degrees of Freedom, Proc. Inst. Mech. Engrg. (1965/1966), 371–386.

  12. Tzafestas, S. G., Kalobatsos, B., Stavrakakis, G. S., and Zagorianos, A.: Some results concerning the autonomous trajectory generation and adaptive control of industrial robots, J. Franklin Inst. 329(1) (1992) 1–14.

    Google Scholar 

  13. Tzafestas, S. G. and Schmidt, G. (eds): Progress in System and Robot Analysis and Control Design, Springer, Berlin/London, 1999.

    Google Scholar 

  14. Tzafestas, S. G., Zagorianos, A., and Pimenides, T.: A solution to the velocity control of redundant robots, Math. Copmut. Simulation 41(3/4) (1996), 201–208.

    Google Scholar 

  15. Zagorianos, A., Tzafestas, S. G., and Stavrakakis, G. S.: On-line discrete-time control of industrial robots, Robotics Autonom. Systems 14 (1995), 289–299.

    Google Scholar 

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Tzafestas, S., Kotsis, M. & Pimenides, T. Observer-Based Optimal Control of Flexible Stewart Parallel Robots. Journal of Intelligent and Robotic Systems 34, 489–503 (2002). https://doi.org/10.1023/A:1019695602043

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  • DOI: https://doi.org/10.1023/A:1019695602043

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