Skip to main content

Synthesis of fuzzy and probabilistic fuzzy controllers by means of decomposition of the control rules derived from a human operator's actions

  • IV. Miscellaneous Large Scale System Techniques
  • Conference paper
  • First Online:
Real Time Control of Large Scale Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 67))

Abstract

In many real control problems we face the lack of precise and detailed knowledge about the process and this is the usual reason that these problems can not be satisfactorily solved by the use of standard control theory.

The paper deals with the several classes of heuristic algorithms of real time control called fuzzy controllers and probabilistic fuzzy controllers. Such algorithms seem to be convenient in the design of control systems for complex, ill-defined processes. The synthesis technique called decomposition of control rules, presented in this paper, provides the unified expressions for both single-input, single-output and multi-dimensional controllers and it improves the computational efficiency of the control system. The original method of inference, based on this decomposition, is also presented.

On leave from Silesian Technical University, Gliwice, Poland.

The paper was written while the first author was granted a research fellowship by the Alexander-von-Humboldt-Foundation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cheng, W.M., Reh, S.-J., Wu, C.F., Tsuei, T.H.; An expression for fuzzy controller, Fuzzy Information and Decision Processes, Gupta, M.M. and Sanchez, E. (eds.), North Holland Publishing Company, 1982, pp. 411–413.

    Google Scholar 

  2. Czogała, E.; On distribution function description of probabilistic sets and its application in decision making, Fuzzy Sets and Systems 10, 1983, pp. 21–29.

    Google Scholar 

  3. Czogała, E.; A generalized concept of a fuzzy probabilistic controller, Fuzzy Sets and Systems (to appear).

    Google Scholar 

  4. Czogała, E.; Pedrycz, W.; On the concept of fuzzy probabilistic controllers, Fuzzy Sets and Systems 10, 1983, pp. 109–121.

    Google Scholar 

  5. Czogała, E., Pedrycz, W.; Walichiewicz, L.; Control of complex processes by using fuzzy probabilistic controller, IFAC Symposium: Fuzzy information, Knowledge presentation and decision analysis, 18–21 July 1983, Marseille (France).

    Google Scholar 

  6. Czogała, E., Zimmermann, H.-J.; Some aspects of the synthesis of a probabilistic fuzzy controller, Fuzzy Sets and Systems (to appear).

    Google Scholar 

  7. Deng, J., Li, C.; Liguistic phase plane — fuzzy control for nonlinear systems, Proc. of IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis 1983, pp. 67–72.

    Google Scholar 

  8. Gupta, M.M.; Feedback control applicationas of fuzzy set theory: a survey, Proc. of 8th Triennal World Congress off IFAC 1981, Vol. V, pp. 1–6.

    Google Scholar 

  9. Hirota, K.; Concept of probabilistic sets, Fuzzy Sets and Systems 5, 1981, pp. 31–46.

    Google Scholar 

  10. Kickert, W.J.M., Mamdani, E.H.; Analysis of fuzzy logic controller, Fuzzy Sets and Systems, 1, 1978, pp. 29–44.

    Google Scholar 

  11. Larsen, P.M.; Industrial applications of fuzzy logic control, in B.R. Gaines and E. H. Mamdani, Eds., Fuzzy reasoning and its applications (Academic Press, London, 1981).

    Google Scholar 

  12. Lemke van Nautah, H.R., Kickert, W.J.M.; Application of fuzzy controller in a warm water plant, Automatica 12, 1976, pp. 301–308.

    Google Scholar 

  13. Mamdani, E.H.; Applications of fuzzy algorithms for control of simple dynamic plant, Proc. IEEE 1979, 121,2,1979, pp. 1585–1588.

    Google Scholar 

  14. Murakami, S.; Application of fuzzy controller to automobile speed control system, Proc. of IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis 1983, pp. 43–48.

    Google Scholar 

  15. Negoita, C.V.; Ralescu, D.A.; Application of fuzzy sets to system analysis, 1975, Birkhauer Verlag, Basel und Stuttgart.

    Google Scholar 

  16. Tong, R.M.; A control engineering review of fuzzy systems, Automatica 8, 1977, pp. 559–569.

    Google Scholar 

  17. Tong, R.M.; Analysis and control of fuzzy systems using finite discrete relation, Int. J. Man-Machine Studies 27, 1978, pp. 431–440.

    Google Scholar 

  18. Yonekura, M.; The application of fuzzy set theory to the temperature control of box annealing furnaces using simulational techniques, Proc. 8th Triennal World Congress of IFAC 1981 Vol V, pp. 13–17.

    Google Scholar 

  19. Zadeh, L.A.; Fuzzy Sets, Information and Control, 8, 1965, pp. 338–353.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Günther Schmidt Madan Singh André Titli Spyros Tzafestas

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Czogala, E., Walichiewicz, L. (1985). Synthesis of fuzzy and probabilistic fuzzy controllers by means of decomposition of the control rules derived from a human operator's actions. In: Schmidt, G., Singh, M., Titli, A., Tzafestas, S. (eds) Real Time Control of Large Scale Systems. Lecture Notes in Control and Information Sciences, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008320

Download citation

  • DOI: https://doi.org/10.1007/BFb0008320

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15033-6

  • Online ISBN: 978-3-540-39219-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics