Skip to main content

Development of a Fuzzy Relational-Based Predictive Controller

  • Chapter
Advances in Fuzzy Control

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 16))

Abstract

The most widely used feedback controller for continuous industrial processes is still the simple Proportional, Integral plus Derivative (PID) controller. However, the widespread availability of digital process control computers and the need to meet international competition in product quality and production efficiency has resulted in a significant increase in the use of more advanced discrete control algorithms. Included in these advanced techniques is fuzzy logic control, and in particular control through the use of fuzzy model-based predictive controllers [1], [9], [10], [19], [24].

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Batur, C., Srinivasan, A., Chan, C.-C. (1995), “Fuzzy Model Based Fuzzy Predictive Controllers”, Journal of Intelligent and Fuzzy Systems, Vol. 3, pp. 117–130.

    Google Scholar 

  2. Bitmead, R.R., Gevers, M., Wertz, H. (1990), Adaptive Optimal Control — The Thinking Mans GPC, Prentice Hall, USA.

    Google Scholar 

  3. Bourke, M.M. (1995), Self-Learning Predictive Control using Relational-Based Fuzzy Logic, Ph.D.Thesis, University of Alberta, (via anonymous ftpsite prancer.eche.ualberta.ca in /pub/reports/BOURKE/THESIS.)

    Google Scholar 

  4. Bourke, M.M., Fisher, D.G. (1994), “The Complete Resolution of Cartesian Products of Fuzzy Sets”, Fuzzy Sets and Systems, Vol. 63, pp. 111–115.

    Article  MathSciNet  MATH  Google Scholar 

  5. Bourke, M.M., Fisher, D.G. (1995a), “Calculation and Application of a Minimum Fuzzy Relational Matrix”, Fuzzy Sets and Systems, Vol. 74, pp. 225–236.

    Article  MathSciNet  MATH  Google Scholar 

  6. Bourke, M.M., Fisher, D.G. (1995b), “Convergence, Eigen Fuzzy Sets and Stability Analysis of Relational Matrices”, Fuzzy Sets and Systems, Vol. 81, pp. 227–234.

    Article  MathSciNet  Google Scholar 

  7. Bourke, M.M., Fisher, D.G. (1997), “A Comparative Analysis of Identification Algorithms for Fuzzy Relational Matrices”, Fuzzy Sets and Systems, under review.

    Google Scholar 

  8. Bremner, H., Postlethwaite, B. (1994), “The Development of a Relational Fuzzy Model Based Controller for an Industrial Process”, IEEE International Conference on Fuzzy Systems, Orlando, Fl, Vol. 1, pp. 539–543.

    Google Scholar 

  9. De Oliveira, J.V., Lemos, J.M. (1994), “Fuzzy Model Based Long-Range Predictive Control”, IEEE International Conference on Fuzzy Systems, Vol. 1, pp. 378–381.

    Google Scholar 

  10. De Oliveira, J.V., Lemos, J.M. (1995), “Long-range Predictive Adaptive Fuzzy Relational Control”, Fuzzy Sets and Systems, Vol. 70, pp. 337–357.

    Article  MathSciNet  Google Scholar 

  11. Graham, B.P., Newell, R.B. (1989), Fuzzy Adaptive Control of a First-Order Process, Fuzzy Sets and Systems, Vol. 31, pp. 47–65.

    Article  MathSciNet  MATH  Google Scholar 

  12. Hall, R.C., Seborg, D.E. (1989), Modeling and Self-Tuning Control of a Multivariable pH Process Part I: Modeling and Multiloop Control. In: Proceedings of the American Control Conference, Pittsburgh, pp. 1822–1827.

    Google Scholar 

  13. Hernández, E., Arkun, Y. (1993), “Control of Nonlinear Systems Using Polynomial ARMA Models”, AIChE Journal, Vol. 39, pp. 446–460.

    Article  Google Scholar 

  14. Kwakernaak, H., Sivan, R. (1972), Linear Optimal Control Systems, Wiley Interscience, USA.

    MATH  Google Scholar 

  15. Mcintosh, A.R. (1987), Performance and Tuning of Adaptive GPC, Masters Thesis, University of Alberta.

    Google Scholar 

  16. Morari, M., Zafiriou, E. (1989), Robust Process Control, Prentice Hall, USA.

    Google Scholar 

  17. Pedrycz, W. (1993), Fuzzy Control and Fuzzy Systems, Second Extended Edition, John Wiley fe Sons, Inc., New York, N.Y.

    MATH  Google Scholar 

  18. Pedrycz, W. (1994), “Why Triangular Membership Functions?”, Fuzzy Sets and Systems, Vol. 64, pp. 21–30.

    Article  MathSciNet  Google Scholar 

  19. Postlethwaite, B. (1994), “A Model-Based Fuzzy Controller”, Trans I Chem E., Vol. 72, pp. 38–46.

    Google Scholar 

  20. Postlethwaite, B. (1996), “Building a Model-Based Fuzzy Controller”, Fuzzy Sets and Systems, Vol. 79, pp. 3–13.

    Article  MathSciNet  Google Scholar 

  21. Rawlings, J.B., Muške, K.R. (1993), “The Stability of Constrained Receding Horizon Control”, IEEE Transactions of Auto Control, Vol. 38, pp. 1512–1516.

    Article  MATH  Google Scholar 

  22. Rivera, D.E., Morari, M. (1986), “Internal Model Control: PID Controller Design”, Ind. Eng. Chem. Process Des. Lev., Vol. 25, pp. 252–265.

    Article  Google Scholar 

  23. Shaw, LS., Krüger, J.J. (1992), “New Fuzzy Learning Model with Recursive Estimation for Dynamic Systems”,Fuzzy Sets and Systems, Vol. 48, pp. 217–229.

    Article  MathSciNet  MATH  Google Scholar 

  24. Skrjanc, L, Kavsek-Biasizzo, K., Matko, D. (1996), “Fuzzy Predictive Control Based on Fuzzy Model”, EUFIT 96, pp. 1864–1869.

    Google Scholar 

  25. Song, J.J., Park, W. (1993), “A Fuzzy Dynamic learning Controller for Chemical Process Control”, Fuzzy Sets and Systems, Vol. 54, pp. 121–133.

    Article  Google Scholar 

  26. Wong, C.H., Shah, S.L., Fisher, D.G. (1995), Fuzzy Process Identification and Control, M. Sc. Thesis, University of Alberta, 1995.

    Google Scholar 

  27. Wong, C.H., Shah, S.L., Fisher, D.G. (1996), “Adaptive Fuzzy Relational Predictive Control”, Fuzzy Sets and Systems, under review.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bourke, M.M., Fisher, D.G. (1998). Development of a Fuzzy Relational-Based Predictive Controller. In: Driankov, D., Palm, R. (eds) Advances in Fuzzy Control. Studies in Fuzziness and Soft Computing, vol 16. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1886-4_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1886-4_11

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-11053-9

  • Online ISBN: 978-3-7908-1886-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics