Advertisement

Multilevel structures for control systems

  • W. Findeisen
Applications Of Control Theory
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 2)

Abstract

This paper is a survey rather than a detailed contribution. It presents several of the possible multilevel structures for control of complex systems. Steady-state optimization structures using measured outputs or inputs as feedback information are considered first. Various methods of coordination (direct, penalty function and price) are presented and discussed for this kind of problems. Then dynamic on-line coordination is introduced and the essential differences explained. Dynamic prices are shown to be one of the adequate coordination instruments Other possibilities making use of the feedback gain concept and of the conjugate variables are mentioned.

Keywords

Local Problem Real System System Element Price Vector Conjugate Variable 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. N. Bailey: Decision Processes in Organizations, in "Large Scale Systems", R. Saeks, Ed., Western, Los Angeles, 1976Google Scholar
  2. A. Bensoussan, J. L. Lions, R. Teman: Decomposition des problèmes d'optimisation, Cahier de l'IRIA No. 11, 1972Google Scholar
  3. A. Benveniste, P. Bernhard, G. Cohen: On the Decomposition of Stochastic Control Problems, Invited paper, IFAC Symposium on Large Scale Systems Theory and Applications, Udine, 1976Google Scholar
  4. M. Brdyś: Methods of Feasible Control Generation for Complex Systems. Bull. Pol. Acad. Sci., Vol. XXIII, No. 12, 1975Google Scholar
  5. C. Y. Chong, M. Athans: On the Periodic Coordination of Linear Stochastic Systems. IFAC Congress, Boston (Proceedings Pt 3), 1975Google Scholar
  6. W. Findeisen: Multilevel Control Systems. PWN, Warszawa 1974 (in Polish)Google Scholar
  7. W. Findeisen: A Structure for On-Line Dynamic Coordination. Bull. Pol. Acad. Sci., Vol. XXIII, No. 9, 1975Google Scholar
  8. W. Findeisen, K. Malinowski: A Structure for On-Line Dynamic Coordination. IFAC Symposium on Large Scale Systems Theory and Applications, Udine, 1976Google Scholar
  9. A. Heescher, K. Reinisch, R. Schmitt: On Multilevel Optimization of Nonconvex Static Problems-Application to Water Distribution of a River System. IFAC Congress, Boston (Proceedings Pt 3), 1975Google Scholar
  10. R. Kulikowski, L. Kruś, K. Mańczak, A. Straszak: Optimization and Control Problems in Large Scale Systems. IFAC Congress, Boston (Proceeding Pt 3), 1975Google Scholar
  11. I. Lefkowitz: Systems Control of Chemical and Related Process Systems. IFAC Congress, Boston (Proceedings Pt 2), 1975Google Scholar
  12. K. Malinowski: Properties of Two Balance Methods of Coordination. Bull Pol. Acad. Sci., Vol. XXIII, No. 9, 1975Google Scholar
  13. M. D. Mesarovic, D. Macko, Y. Takahara: Theory of Hierarchical, Multi-level Systems. Academic Press, New York, 1970Google Scholar
  14. N. R. Sandell, P. Varaiya, M. Athans: A Survey of Decentralized Control Methods for Large Scale Systems. IFAC Symposium on Large Scale Systems Theory and Applications, Udine, 1976Google Scholar
  15. D. D. Siljak: Competitive Economic Systems: Stability, Decomposition, and Aggregation. IEEE Trans. on Aut. Contr., Vol. AC-21, pp. 149–160, 1976Google Scholar
  16. M. G. Singh, S. Drew, J. F. Coales: Comparisons of Practical Hierarchical Control Methods for Interconnected Dynamical Systems. Automatica, Vol. 11, pp. 331–350, 1975Google Scholar
  17. M. G. Singh, M. F. Hassan, A. Titli: Multilevel Feedback Control for Interconnected Dynamical Systems Using the Prediction Principle. IEEE Trans. Syst., Man, Cybern., Vol. SMC-6, pp. 233–239, 1976Google Scholar
  18. J. Szymanowski, M. Brdyś, A. Ruszczyński: An Algorithm for Real Process Coordination. IFAC Symposium on Large Scale Systems Theory and Applications, Udine, 1976Google Scholar
  19. P. Tatjewski: Coordination by Penalty Function Methods. Proceedings, Workshop Discussion on Multilevel Control. Institute of Automatic Control, Technical University of Warsaw, 1975Google Scholar
  20. A. Woźniak: Parametric Method of Coordination Using Feedback from the Real Process. IFAC Symposium on Large Scale Systems Theory and Applications, Udine, 1976Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • W. Findeisen
    • 1
  1. 1.Institute of Automatic ControlTechnical University of WarsawWarszawaPoland

Personalised recommendations