Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지

Supervisory Control of Multi-Echelon Production-Distribution Systems with Limited Decision Policy (I)-Control Algorithm-

  • Jeong, Sang-Hwa (Factory Automation Research Center for Parts of Vehicles, Dept. of Mechanical Engineering, Chosun University) ;
  • Kim, Jong-Kwan (Factory Automation Research Center for Parts of Vehicles, Dept. of Mechanical Engineering, Chosun University) ;
  • Oh, Yong-Hun (Dept. of Mechanical Engineering, Chosun University) ;
  • Ryu, Sin-Ho (Dept. of Mechanical Engineering, Chosun University)
  • Published : 2000.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In industrial production-distribution systems, production and purchasing rates, associated inventories, and sales are very critical for the profits of each component in the system. The objective of this study is to investigate an effective information control scheme for a production -distribution system by automatic feedback control techniques. In this work, a dynamic control scheme that has an integrated -error with state-feedback and filtering (ISFF) is proposed as a new algorithm for a dynamic controller. Generalized formulations of the dynamic control are proposed in the continuous-time and discrete-time cases. A methodology for an evaluation of ISFF controller gains using the eigen structure property is presented. When an upper-limit is imposed on the production capability by available factory space and capital equipment, supervisory control is provided to avoid integrator-windup and deterioration of system performance.

Keywords

References

  1. Aida, K. and Kitamori, T., 1990, 'Design of a PI-type State Feedback Optimal Servo System,' Int. J. Control, Vol. 52, No. 3, pp. 613-625 https://doi.org/10.1080/00207179008953556
  2. Alfeld, L. E. and Graham, A. K., 1976, Introduction to Urban Dynamics, Wright-Allen Press, Cambridge, Mass
  3. Astrom, K. J. and Wittenmark, B., 1984, Computer Controlled systems, Prentice Hall, Englewood Cliffs, NJ
  4. Bradshaw, A. and Porter, B., 1975, 'Synthesis of Control Policies for a Production-inventory Tracking System,' Int. J. Systems Science, Vol. 6, No. 3, pp. 225-232 https://doi.org/10.1080/00207727508941811
  5. Christensen, J. L. and Brogan, W. L., 1971, 'Modelling and Optimal Control of a Prodtion Process,' Int. J. Systems Science, Vol. 1, No. 3, pp.247-255 https://doi.org/10.1080/00207727108920234
  6. Coyle, R. J., 1997, Management System Dynamics, John Wiley and Sons, New York
  7. Forrester, J. W., 1961, Industrial Dynamics, M.I.T. Press, Cambridge, Mass
  8. Forrester, 1975, Collected Paper, Wright-Allen Press, Cambridge, Mass.
  9. Glattfelder, A. H. and Schaufelberger, W., 1983, 'Stability Analysis of Single Loop Control Systems with Saturation and Antireset-Windup Circuits,' IEEE Trans. on AC, AC-Vol. 28, No. 12, pp. 1074-1081
  10. Jeong, S. and Maday, C. J., 1994a, 'Supervisory Control of Production-Distribution Systems with Saturating Decision,' Systems and Control Letters, Vol. 22, No. 4, pp. 245-256 https://doi.org/10.1016/0167-6911(94)90055-8
  11. Jeong, S. and Maday, C. J., 1994b, 'Supervisory Control for Industrial Systems with Saturation Decisions,' Proceeding of American Control Conference. 1, Baltimore, Maryland, pp. 277 -288 https://doi.org/10.1109/ACC.1994.751745
  12. Jeong, S., 1994c, 'On Robust Dynamic Controller Design,' KSME Int. J., Vol. 8, No. 2, pp. 127 -135
  13. Jeong, S. and Maday, C. J., 1994a, 'Supervisory Control of Production-Distribution Systems with Saturation Decision,' Systems and Control Letters, Vol. 22, No. 4, pp. 245-256 https://doi.org/10.1016/0167-6911(94)90055-8
  14. Jeong, S., 1996, 'Analysis of Robust Stability and Performance for Two-Degree of Freedom Control Structure with Dynamic Controller,' KSME Int. J., Vol. 10, No. 2, pp. 128-137
  15. Krikelis, N. J., 1980, 'State Feedback Integral Control with 'Intelligent' Integrators,' Int. J. Control, Vol. 32, No.3, pp. 465-473 https://doi.org/10.1080/00207178008922868
  16. Krikelis, N. J. and Papadopoulos, E. G., 1982, 'An Optimal Design Approach for Tracking Problems and Its Assessment against Classical Controllers,' Int. J. Systems Science, Vol. 36, No. 2, pp. 249-265
  17. Krikelis, N. J. and Barkas, S. K., 1984, 'Design of Tracking Systems subject to Actuator Saturation and Integrator Wind-up,' Int. J. Control, Vol. 39, No.4, pp. 667-682 https://doi.org/10.1080/00207178408933196
  18. Legasto, A. A., Forrester, J. W. and Lyneis, J. M., 1980, System Dynamics, North-Holland Publishing Company, New York
  19. Mak, K. L., Bradshaw, A. and Porter, B., 1976, 'Stabilizability of Production-inventory Systems with Retarded Control Policies,' Int. J. Systems Science, Vol. 7, No.3, pp. 277-288 https://doi.org/10.1080/00207727608941916
  20. Maday, C. J., 1987, Feedback Control Systems for Time Response, Instrument Society of America
  21. Maday, C. J. and Johnson, N. H., 1989, 'A Decentralized Noncollocated Active Vibration Control Algorithm,' Proc. of the 1989 ASME Design Technical Conf, Montreal, Quebec, Canada, ASME DE, Vol. 18, No.2, pp. 223-228
  22. Meyer, U. and Groover, M. P., 1972, 'Multiechelon Inventory Systems Using Continuous Systems Analysis and Simulation,' AIlE Transactions, Vol. 4, No.4, pp. 318-327
  23. Phelan, R. M., 1977, Automatic Control Systems. Ithaca, Cornell Univ. Press, New York
  24. Porter, B. and Bradshaw, A., 1974, 'Modal Control of Production-inventory Systems Using Piecewise-constant Control Policies,' Int. J. Systems Science, Vol. 5, No.8, pp. 733-742 https://doi.org/10.1080/00207727408920137
  25. Roberts, E. B., 1978, Managerial Applications of System Dynamics, M. I. T. Press, Cambridge, Mass.
  26. Seraji, H., 1979, 'Design of Proportional-plus -integral Controllers for Multivariable Systems,' Int. J. Systems Science, Vol. 29, No.1, pp. 49 -63
  27. Simon, H. A., 1952, 'On the Application of Servomechanism Theory in the Study of Production Control,' Econometrika, Vol. 20, pp. 247 -268 https://doi.org/10.2307/1907849
  28. Su, T. J., Kuo, T. S. and Sun, Y. Y., 1989, 'Robust Stabilization of Linear Constrained Uncertain Time-Delay Systems,' Int. J. System Science, Vol. 20, No.7, pp. 1259-1265 https://doi.org/10.1080/00207728908910210
  29. Su, 1990, 'Robust Stability of Linear Perturbed Discrete Large-Scale Systems with Saturating Actuators,' Int. J. Systems Science, Vol. 21, No. 11, pp. 2263 - 2272 https://doi.org/10.1080/00207729008910547
  30. Tao, K. M. and Zunde, P., 1986, 'A Stochastic Optimal Control Approach to a Class of Production and Inventory Problems,' Journal of Optimization Theory and Applications, Vol. 49, No.2, pp. 289-317 https://doi.org/10.1007/BF00940761
  31. Towill, D. R., 1882, 'Dynamic Analysis of an Inventory and Order-Based Production Control System,' Int. J. Production Research, Vol. 20, No.6, pp. 671-687 https://doi.org/10.1080/00207548208947797
  32. Vecchio, A. L., Del. and Towill, D. R., 1990, 'A Knowledge Based Simulation Framework for Production- Distribution System Design,' Computers in Industry, Vol. 15, pp. 27-40 https://doi.org/10.1016/0166-3615(90)90083-2
  33. Wang, W. J. and Chen, B. S., 1988, 'Stability of Large-scale Systems with Saturating Actuators,' Int. J. Control, Vol. 47, No.3, pp. 827-850 https://doi.org/10.1080/00207178808906056