Adaptive Control of Milling Forces under Fractional Order Holds

  • L. Rubio
  • M. de la Sen


This paper introduces a novel discrete-time model-reference based control of the tool-work-piece interaction force in a milling process. The novelty of the scheme relies on the use of a fractional order hold (FROH) instead of a traditional zero order hold (ZOH) used in the manufacturing literature to obtain a discrete-time model of the continuous system. The additional degree of freedom introduced by the FROH through its correcting gain allows the designer to improve the closed-loop behavior of the time-varying unknown system by an adequate choice of its value. Simulation examples showing the influence of the correcting gain in the closed-loop response are presented and compared.


Adaptive Control Fractional Order Milling Force Tool Breakage Computerize Numerical Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    Altintas, I. Yellowley and J. Tlusty, “The Detection of Tool Breakage in Milling Operations”, Journal of Engineering for Industry, November 1988, Vol. 110.Google Scholar
  2. [2]
    Y. Altintas, “Prediction of Cutting Forces and Tool Breakage in Milling from feed drive current measurements”, Journal of Engineering for Industry, pp.386-392, November 1992, Vol. 114.Google Scholar
  3. [3]
    L.K. Lauderbaugh and A.G. Ulsoy, “Dynamic Modeling for Control of the Milling Process”, Journal of Engineering for Industry, November 1988, Vol. 110.Google Scholar
  4. [4]
    L.K. Lauderbaugh and A.G. Ulsoy, “Model Reference Adaptive Force Control in Milling”, Journal of Engineering for Industry, February 1988, Vol. 111.Google Scholar
  5. [5]
    Y. Altintas, “Manufacturing Automation”, Cambridge University Press, 2000Google Scholar
  6. [6]
    A.Spence and Y. Altintas, “CAD Assisted Adaptive Control for Milling”, Transaction of the ASME, September 1991, Vol. 113.Google Scholar
  7. [7]
    Peng, Y.H., “On the performance enhancement of self-tuning adaptive control for time-varying machining processes”, International Journal of Advanced Manufacturing Technology, pp. 395-403, 2004, 24.CrossRefGoogle Scholar
  8. [8]
    Y.Altintas, F. Sassani and F. Ordubadi, “Design and Analysis of Adaptive Controllers for Miling Process”, Transaction of the CSME, pp.17-25, no.1/2, 1990, Vol. 14.Google Scholar
  9. [9]
    Y.Altintas and C.C.H. Ma, “Direct Adaptive Control of Milling Force”, IEEE International Workshop on Intelligent Motion Control, Istambul 20-22 August 1990.Google Scholar
  10. [10]
    K.J. Astrom and B. Wittermark, “Adaptive Control”, $2nd$edition, Addison-Wesley, 1995.Google Scholar
  11. [11]
    Ioannou, P. and Sun, J., “Robust Adaptive Control”, Pretince Hall 1996.Google Scholar
  12. [12]
    S.S. Sastry and M. Bodson, “Adaptive Control: Stability, Robustness and Convergence”. Prentice 1989.Google Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • L. Rubio
    • 1
  • M. de la Sen
    • 1
  1. 1.Instituto de Investigacion y Desarrollo de Procesos, Facultad de Ciencia y TecnologíaUniversidad del País VascoApartado 664Spain

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