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Empirical approach to the modeling and control of ball mill grinding

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Abstract

Dynamic experiments were performed in a continuous open-circuit 40×40-cm ball mill using a pseudorandom binary sequence of the feed rate and measuring the variations of the discharge particle-size distribution. The impulse response is calculated by a cross-correlation technique. Then a model involving a discrete transfer function and a time-series stochastic equation is calibrated using maximum likelihood methods. Based on this empirical model, a minimum variance controller with constrained input is designed and its performances are compared, by simulation, to the performances of a conventional PID regulator.

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References

  • Astrom, K.J., and Eykhoff, P., 1971, “System identification - a survey,” Automatica, Vol 7, pp. 123–162.

    Article  MathSciNet  Google Scholar 

  • Bazin, D., and Hodouin, D., 1985, “The application of time-series analysis to mineral processing,” Annual Meeting, Canadian Institute of Mining & Metallurgy, Vancouver, BC.

  • Box, G.E.P., and Jenkins, G.M., 1976, Time series analysis: forecasting and control. Holden Day, San Francisco, CA.

    MATH  Google Scholar 

  • Dubé, Y., 1985, “Simulation et algorithmes pour la commande automatique du procédé de broyage,” PhD Thesis, Laval University, Quebec, PQ, Canada.

    Google Scholar 

  • Dubé, Y., and Hodcuin, D., 1986a, “Design of an adaptive filter for a laboratory grinding circuit,” Preprints, IFAC/MMM Symposium, Y. Yoshitani, Ed. Pergamon Press, New York.

    Google Scholar 

  • Dubé, Y., Lanthier, R., and Hodouin, D., 1986b, “Computer-aided dynamic analysis and control design for grinding circuits.” CIM Bulletin, in press.

  • Hodouin, D., Dubé, Y., and Lanthier, R., 1986, “Stochastic simulation of filtering and control strategies for grinding circuits,” International Journal of Mineral Processing, in press.

  • Hogg, R., and Rogovin, Z., 1982, “Mass transport in wet overflow bail mills,” Preprint, 14th International Mineral Processing Congress, Canadian institute of Mining & Metallurgy, Montreal, pp. 17.1–17.19.

  • McGregor, J.F., 1985, “Optimal Stochastic Control: theory and applications.” Short Course, Digital Computer Techniques for Process Identification and Control, McMaster University, Hamilton, ON, Canada.

    Google Scholar 

  • McGregor, J.F., and Tidwell, P., 1977, “Discrete stochastic control with input constraints,” Proceedings, IEEE, Vol. 124, pp. 732–734.

    Google Scholar 

  • Niemi, A., et al., 1982, “Experiences in multivariable control of sulphide ore grinding in Vuonos concentrator,” Proceedings, 14th International Mineral Processing Congress, Canadian Institute of Mining & Metallurgy, Montreal, PQ, Canada.

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SME preprint 87–110, SME Annual Meeting, Denver, CO, February 1987. M&MP paper 87–646. Discussion of this paper must be submitted, in duplicate, prior to Jan. 31, 1989.

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Hodouin, D., Bazin, C. Empirical approach to the modeling and control of ball mill grinding. Mining, Metallurgy & Exploration 5, 192–201 (1988). https://doi.org/10.1007/BF03402509

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  • DOI: https://doi.org/10.1007/BF03402509

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