Performance of discrete feedback adjustment schemes with dead band, under stationary versus nonstationary stochastic disturbance

Technometrics

Volumn 40, Issue 3, 1998, Pages 223-233

  Luceño, Alberto ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Action limits; Average adjustment interval; Bounded adjustment; Engineering process control; Mean squared deviation; Process adjustment

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; DISCRETE TIME CONTROL SYSTEMS;

ACTION LIMITS; AVERAGE ADJUSTMENT INTERVAL; BOUNDED ADJUSTMENT; MEAN SQUARED DEVIATION;

FEEDBACK CONTROL;

EID: 0032141421     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1998.10485523     Document Type: Article

References (32)

1. Åström, K. J., and Wittenmark, B. (1997), Computer-controlled Systems. Theory and Design (3rd ed.), Upper Saddle River, NJ: Prentice-Hall.
2. Box, G. E. P., and Jenkins, G. M. (1963), “Further Contributions to Adaptive Optimization and Control: Simultaneous Estimation of Dynamics: Non-zero Costs,” in Bulletin of the International Institute, 34th Session, Ottawa: International Institute, pp. 943-974.
3. Box, G. E. P., and Jenkins, G. M. (1970), Time Series Analysis, Forecasting and Control, San Francisco: Holden-Day.
4. Box, G. E. P., and Kramer, T. (1992), “Statistical Process Monitoring and Feedback Adjustment—A Discussion,”Technometrics,34, 251-285.
5. Box, G. E. P., and Luceño, A. (1994), “Selection of Sampling Interval and Action Limit for Discrete Feedback Adjustment,”Technometrics,36, 369-378.
6. Box, G. E. P., and Luceño, A. (1995), “Discrete Proportional-Integral Control With Constrained Adjustment,”Journal of the Royal Statistical Society, D—The Statistician,44, 479-495.
7. Box, G. E. P., and Luceño, A. (1997a), “Discrete Proportional-Integral Adjustment and Statistical Process Control,”Journal of Quality Technology,29, 248-260.
8. Box, G. E. P., and Luceño, A. (1997b), Statistical Control by Monitoring and Feedback Adjustment, New York: Wiley.
9. Box, G. E. P., and MacGregor, J. F. (1974), “The Analysis of Closed Loop Dynamic-Stochastic Systems,”Technometrics,16, 391-398.
10. Box, G. E. P., and MacGregor, J. F. (1976), “Parameter Estimation With Closed-Loop Operating Data,” Technometrics,18, 371-380.
11. Box, G. E. P., and Ramirez, J. (1992), “Cumulative Score Charts,”Quality and Reliability Engineering International,8, 17-27.
12. Crowder, S. V., Hawkins, D. M., Reynolds, M. R., Jr., and Yashchin, E. (1997), “Process Control and Statistical Inference,”Journal of Quality Technology,29, 134-139.
13. Deming, W. E. (1986), Out of the Crisis, Cambridge, MA: Massachusetts Institute of Technology, Center for Advanced Engineering Studies.
14. Faltin, F. W., Hahn, G. J., Tucker, W. T., and Vander Wiel, S. A. (1993), “Algorithmic Statistical Process Control: Some Practical Observations,”International Statistical Institute,61, 67-80.
15. Fearn, T., and Maris, P. I. (1991), “An Application of Box-Jenkins Methodology to the Control of Gluten Addition in a Flour Mill,”Applied Statistics,40, 477-484.
16. Ferger, D. (1995), “Nonparametric Tests for Nonstationary Change-point Problems,”The Annals of Statistics,23, 1848-1861.
17. Gordon, L., and Poliak, M. (1995), “A Robust Surveillance Scheme for Stochastically Ordered Alternatives,”The Annals of Statistics,23, 1350-1375.
18. Harris, T. J., and MacGregor, J. F. (1987), “Design of Multivariate Linear-quadratic Controllers Using Transfer Functions,”American Institute of Chemical Engineers Journal,33, 1481-1495.
19. Jenkins, G. M., and Watts, D. G. (1968), Spectral Analysis and Its Applications, San Francisco: Holden-Day.
20. Jensen, K. L., and Vardeman, S. B. (1993), “Optimal Adjustment in the Presence of Deterministic Process Drift and Random Adjustment Error,”Technometrics,35, 376-389.
21. Kramer, T. (1989), “Process Control From an Economic Point of View,” unpublished Ph.D. thesis, University of Wisconsin-Madison, Dept, of Statistics.
22. Lai, T. L. (1995), “Sequential Changepoint Detection in Quality Control and Dynamical Systems,” Journal of the Royal Statistical Society, Ser. B, 57, 613-658.
23. Liung, L. (1987), System Identification: Theory for the User, Englewood Cliffs, NJ: Prentice-Hall.
24. Lorden, G. (1971), “Procedures for Reacting to a Change in Distribution,”The Annals of Mathematical Statistics,6, 1897-1908.
25. Luceño, A. (1995), “Choosing the EWMA Parameter in Engineering Process Control,”Journal of Quality Technology,27, 162-168.
26. Luceño, A., González, F. J., and Puig-Pey, J. (1996), “Computing Optimal Adjustment Schemes for the General Tool-wear Problem,”Journal of Statistical Computation and Simulation,54, 87-113.
27. Ogunnaike, B. A., and Ray, W. H. (1994), Process Dynamics, Modeling, and Control, Oxford, U.K.: Oxford University Press.
28. Roberts, S. W. (1966), “A Comparison of Some Control Chart Procedures,”Technometrics,8, 411-430.
29. Söderström, T., and Stoica, P. (1989), System Identification, Hemel Hempstead, U.K.: Prentice-Hall International.
30. Tsung, F., Wu, H., and Nair, V. N. (1998), “On the Efficiency and Robustness of Discrete Proportional-Integral Control Schemes,”Technometrics, 40, 214-222.
31. Tucker, W. T., Faltin, F. W., and Vander Wiel, S. A. (1993), “Algorithmic Statistical Process Control: An Elaboration,”Technometrics,35, 363-375.
32. Vander Wiel, S. A., Tucker, W. T., Faltin, F. W., and Doganaksoy, N. (1992), “Algorithmic Statistical Process Control: Concepts and an Application,”Technometrics,34, 286-297.