Skip to main content

Fuzzy Logic in Control Theory

  • Conference paper
  • First Online:
Digital Transformation Technology

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 224))

Abstract

A control system regulates the operation of a device or another system with the help of a set of IF–THEN logical rules. In particular, a fuzzy control system analyzes the input data in terms of variables taking continuous values in the interval [0, 1]. Fuzzy logic has the advantage of expressing the solution of a problem in the natural language, which enables the mechanization of tasks that have been already performed successfully by humans. The present paper studies the operation of a fuzzy control system and illustrates it by an application to a building’s central heating boiler.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  Google Scholar 

  2. Zadeh LA (1973) Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans Syst Man Cybern 3:28–44

    Article  MathSciNet  Google Scholar 

  3. Kosko B (1993) Fuzzy thinking: the new science of fuzzy logic. Hyperion, New York

    MATH  Google Scholar 

  4. Kosko B (1990) Fuzziness vs. probability. Int J Gen Syst 17(2–3):211–240

    Article  Google Scholar 

  5. Umbers IG, King PJ (1980) An analysis of human decision-making in cement kiln control and the implications for automation. Int J Man Mach Stud 12:11–23

    Article  Google Scholar 

  6. Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man Mach Stud 7(1):1–13

    Article  Google Scholar 

  7. Sugeno M (1985) Industrial applications of fuzzy control. Elsevier Science Pub. Co.

    Google Scholar 

  8. Taha HA (1967) Operations research—an introduction, 2nd edn. Collier Macmillan, New York, London

    Google Scholar 

  9. Portal.dnb.de. GND, Katalog der Deutschen Nationalbibliothek (authority control). https://portal.dnb.de/opac.htm?method=simpleSearch&cqlMode=true&query=nid=4032317-1. Retrieved 26 Apr 2020

  10. Voskoglou MGr, Salem A-B (2020) Benefits and limitations of the artificial with respect to the traditional learning of mathematics. Mathematics 8:611

    Google Scholar 

  11. Athanassopoulos E, Voskoglou MGr (2020) A philosophical treatise on the connection of scientific reasoning with fuzzy logic. Mathematics 8:875

    Google Scholar 

  12. Kosko B (1992) Fuzzy systems as universal approximators. In: 1st IEEE conference on fuzzy systems, pp 1153–1162

    Google Scholar 

  13. Kaufmann A, Gupta M (1991) Introduction to fuzzy arithmetic. Van Nostrand Reinhold Company, New York, NY

    Google Scholar 

  14. Voskoglou MGr (2019) Methods for assessing human-machine performance under fuzzy conditions. Mathematics 7:230

    Google Scholar 

  15. Wikipedia. Center of mass: a system of particles. http://en.wikipedia.org/wiki/Center_of_mass#A_system_of_particles. Retrieved 25 Oct 2014

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Voskoglou, M.G. (2022). Fuzzy Logic in Control Theory. In: Magdi, D.A., Helmy, Y.K., Mamdouh, M., Joshi, A. (eds) Digital Transformation Technology. Lecture Notes in Networks and Systems, vol 224. Springer, Singapore. https://doi.org/10.1007/978-981-16-2275-5_13

Download citation

Publish with us

Policies and ethics