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Supervisory adaptive control for the structural vibration of a coordinate-measuring machine

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Abstract

A supervisory adaptive control approach has been developed for a structural vibration control of a coordinate measuring machine, which is a dynamic system with time varying system model order and parameters. An on-line dynamic data system modelling algorithm is used to identify the system model order and parameters simultaneously. Based on the identified model, a predictive control algorithm is applied to generate control commands. A supervisory strategy with several monitoring indices and decision-making rules is proposed to supervise the modelling and control processes. The developed supervisory adaptive control approach has been implemented in a digital signal processor board for structural vibration control. Experimental results indicate a 75% reduction in the peak-to-peak vibration and an 80% reduction in the settling time.

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References

  1. E. Lu, J. Ni, Z. G. Huang and S. M. Wu, “An integrated lattice filter adaptive control system for time varying CMM structural vibration control,”Proceedings of ASME 1992 winter meeting PED-Vol. 55, 1992.

  2. K. J. Astrom and B. Wittenmark,Computer Controlled System: Theory and Design, Prentice Hall, 1990.

  3. E. Irving, “Improving power network stability and unit stress with adaptive generator control”,Automatica 15, p. 31, 1979.

    Google Scholar 

  4. B. Egardt,Stability of Adaptive Controllers, Lecture Notes In Control and Information Sciences Springer, Berlin, 1979.

    Google Scholar 

  5. P. E. Wellstead and S. P. Sacoff, “Extend self-turning algorithm”,International Journal of Control 34, p. 433, 1981.

    Google Scholar 

  6. T. R. Fortescue, L. S. Kershenbaum and B. E. Ydstie, “Implementation of self-turning regulators with variable forgetting factors”,Automatica 17, p. 831, 1981.

    Google Scholar 

  7. R. Schumann, K.-H. Lachmann and R. Isermann, “Towards applicability of parameter-adaptive control algorithms”,Proceedings IFAC-Congress, Kyoto, Pergamon Press, Oxford, 1981.

    Google Scholar 

  8. R. Isermann and K.-H. Lachmann, “Parameter-adaptive control with configuration aids and supervision functions”,Automatica 21(6), pp. 625–638, 1985.

    Google Scholar 

  9. J. Shi, “On-line dynamic data system modeling and generalized forecasting compensation control with applications”, PhD thesis, University of Michigan, 1992.

  10. R. R. Bitmead, M. Gevers and V. Wertz,Adaptive Optimal Control: The Thinking Man's GPC, Prentice Hall, 1990.

  11. K. J. Astrom, J. J. Anton and K.-E. Arzen, “Expert control”,Automatica 22(3), pp. 277–286, 1986.

    Google Scholar 

  12. C. Richard Johnson,Lectures on Adaptive Parameter Estimation, Prentice Hall Advanced Reference Series, 1988.

  13. N. Basseville and A. Benveniste,Detection of Abrupt Changes in Signals and Dynamical Systems, Springer-Verlag, 1986.

  14. D. C. Montgomery,Introduction to Statistical Quality Control 2nd edn, Wiley, NY, 1991.

    Google Scholar 

  15. E. Yaz and Xiaoru Niu, “Stability robustness of linear discrete-time systems in the presence of uncertainty”,Journal of Control 50(1), pp. 173–182, 1989.

    Google Scholar 

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Authors and Affiliations

  1. Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, USA

    Jianjun Shi

  2. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 3424 GG Brown, 48109-2125, Ann Arbor, Michigan, USA

    Jun Ni

Authors
  1. Jianjun Shi
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  2. Jun Ni
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Shi, J., Ni, J. Supervisory adaptive control for the structural vibration of a coordinate-measuring machine. Int J Adv Manuf Technol 11, 240–248 (1996). https://doi.org/10.1007/BF01351281

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