Fuzzy control with fuzzy inputs

IEEE Transactions on Fuzzy Systems

Volumn 11, Issue 4, 2003, Pages 437-449

  Foulloy, Laurent ^a   Galichet, Sylvie ^a  

^a Université de Savoie   (France)

Author keywords

Fuzzy control; Fuzzy inputs

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; FUZZY SETS; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; MEMBERSHIP FUNCTIONS; MODAL ANALYSIS; PERTURBATION TECHNIQUES; PROBABILITY DISTRIBUTIONS; TRANSFER FUNCTIONS; VECTORS;

PARAMETERIZATION;

FUZZY CONTROL;

EID: 0042880038     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2003.814831     Document Type: Article

References (49)

1. B. Bharati-Devi, "Estimation of fuzzy membership from histograms," Inform. Sci., vol. 35, pp. 43-59, 1985.
2. G. Bortolan and W. Pedrycz, "Reconstruction problem and information granularity," IEEE Trans. Fuzzy Syst., vol. 5, pp. 234-248, Apr. 1997.
3. S. Chang and L. Zadeh, "On fuzzy mapping and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-2, pp. 30-34, Feb. 1972.
4. M. Civanlar and H. Trussel, "Constructing membership functions using statistical data," Fuzzy Sets Syst., vol. 18, pp. 1-13, 1986.
5. D. Driankov, H. Hellendoorn, and M. Reinfrank, An Introduction to Fuzzy Control. New York: Springer-Verlag, 1993.
6. D. Driankov, R. Palm, and H. Hellendoorn, "Fuzzy control with fuzzy inputs: The need for new rule semantics," in Proc. of the 3rd IEEE Conf. Fuzzy Systems, Orlando, FL, July 1994, pp. 13-21.
7. D. Dubois and H. Prade, "On distances between fuzzy points and their use for plausible reasoning," in Proc. IEEE Conf. Cybernetics Society, India, Dec. 1983, pp. 300-303.
8. _, "Unfair coins and necessity measures: Toward a possibilistic interpretation of histogram," Fuzzy Sets Syst., vol. 10, pp. 15-20, 1983.
9. _, "Fuzzy numbers: An overview," Int. J. Gen. Syst., vol. 12, no. 3, pp. 193-226, 1987.
10. _, "Rough fuzzy sets and fuzzy rough sets," Int. J. Gen. Syst., vol. 17, pp. 191-209, 1990.
11. _, "Fuzzy sets in approximate reasoning - Part I: Inference with possibility distribution," Fuzzy Sets Syst., vol. 40, pp. 143-202, 1991.
12. D. Dubois, J. Lang, and H. Prade, "Fuzzy sets in approximate reasoning - Part II: Logical approaches," Fuzzy Sets Syst., vol. 40, pp. 203-244, 1991.
13. D. Dubois and H. Prade, "Upper and lower images of a fuzzy set induced by a fuzzy relation: Application to fuzzy inference and diagnosis, " Inform. Sci., vol. 64, pp. 203-232, 1992.
14. D. Dubois, H. Prade, and S. Sandri, "On possibility/probability transformations," in Fuzzy Logic, R. Lowen and M. Roubens, Eds. Norwell, MA: Kluwer, 1993, pp. 103-112.
15. D. Dubois, H. Prade, and R. Yager, Readings in Fuzzy Sets for Intelligent Systems. San Mateo, CA: Morgan Kaufmann, 1993.
16. D. Dubois, L. Foulloy, S. Galichet, and H. Prade, "Performing approximate reasoning with words?," in Computing With Words in Information/Intelligent Systems 1 - Foundations, L. A. Zadeh and J. Kacprzyk, Eds. Berlin, Germany: Physica-Verlag, 1999, pp. 24-49.
17. L. Foulloy and S. Galichet, "Typology of fuzzy controllers," in Theorical Aspects of Fuzzy Control, H. T. Nguyen, M. Sugeno, R. Tong, and R. R. Yager, Eds. New York: Wiley, 1994, pp. 65-90.
18. "Representation of Mamdanis Controllers," in Proc. 6th Int. Fuzzy Systems Association World Congr. (IFSA 95), Sao Paulo, Brazil, July 1995, pp. 581-584.
19. _, "Fuzzy and Linear Controllers," in The Handbooks of Fuzzy Set Series - Fuzzy Systems Modeling and Control. Norwell, MA: Kluwer, 1998, pp. 197-225.
20. S. Galichet and L. Foulloy, "Fuzzy control with non precise inputs," in Proc. 5th Int. Conf. Information Processing Management Uncertainty Knowledge Based Systems (IPMU '94), Paris, France, July 1994, pp. 84-89.
21. _, "Fuzzy controllers: Synthesis and equivalences," IEEE Trans. Fuzzy Syst., vol. 3, pp. 140-148, Apr, 1995.
22. "Guide for the expression of uncertainty in measurement,", Tech Rep. http://www.iso.ch, 1993.
23. G. Jumarie, "Possibility-probability transformation: A new result via information theory of deterministic functions," Kybernetics, vol. 23, no. 5, pp. 56-59, 1994.
24. _, "Further results on possibility-probability conversion via relative information and informational invariance," Cybern. Syst., vol. 26, no. 1, pp. 111-128, 1995.
25. G. Klir and B. Parviz, "Probability-possibility transformations: A comparison," Int. J. General Syst., vol. 21, pp. 291-310, 1992.
26. _, Fuzzy Sets and Fuzzy Logic. Theory and Applications. Upper Saddle River, NJ: Prentice-Hall, 1995.
27. G. Klir and M. Wierman, "Uncertainty-based information. Elements of generalized information theory," in Studies in Fuzzyness and Soft-Computing. Berlin, Germany: Physica-Verlag, 1998.
28. V. Lassere, G. Mauris, and L. Foulloy, "A simple probability-possibility transformation for measurement error representation: A truncated triangular transformation," in Proc. 7th Int. Fuzzy Systems Association World Congr. (IFSA'97), vol. III, Prague, Czech Republic, June 97, pp. 476-481.
29. R. Leland, "Feedback linearization control design for systems with fuzzy uncertainty," IEEE Trans. Fuzzy Syst., vol. 6, pp. 492-503, Aug. 1998.
30. G. Mauris, L. Berrah, L. Foulloy, and A. Haura, "Fuzzy handling of measurement errors in instrumentation," IEEE Trans. Instrum. Measure., vol. 49, pp. 89-93, Jan. 2000.
31. G. Mauris, V. Lasserre, and L. Foulloy, "Modeling of measurement data acquired from physical sensors," IEEE Trans. Instrum. Measure., vol. 49, pp. 1201-1205, June 2000.
32. E. H. Mamdani, "Application of fuzzy algorithms for control of simple dynamic plant," Proc. Inst. Elect. Eng., Control Sci., vol. 121, pp. 1585-1588, 1974.
33. E. H. Mamdani and S. Assilian, "An experiment in linguistic synthesis with a fuzzy logic controller," Int. J. Man-Mach. Stud., vol. 7, pp. 1-13, 1975.
34. E. H. Mamdani, "Advances in the linguistic synthesis of fuzzy controllers," Int. J. Man-Mach.Stud., vol. 8, pp. 669-678, 1975.
35. G. Mouzouris and J. Mendel, "Non-singleton fuzzy logic systems," in Proc. 3rd IEEE Conf. Fuzzy Syst., Orlando, FL, July 1994, pp. 456-461.
36. _, "Nonsingleton fuzzy logic systems: Theory and application," IEEE Trans. Fuzzy Syst., vol. 5, pp. 56-71, Feb. 1997.
37. _, "Dynamic nonsingleton fuzzy logic systems for nonlinear modeling," IEEE Trans. Fuzzy Syst., vol. 5, pp. 199-208, Apr. 1997.
38. R. Palm and D. Driankov, "Fuzzy inputs," in Proc. 3rd IEEE Conf. Fuzzy Systems, Orlando, FL, July 1994, pp. 756-765.
39. _, "Fuzzy inputs," Fuzzy Sets Syst., vol. 70, pp. 315-325, 1994.
40. W. Pedrycz and G. Vukovich, "Investigating a relevance of fuzzy mappings," IEEE Trans. Syst., Man, Cybern. B, vol. 30, pp. 249-262, Feb. 2000.
41. R. Precup and S. Preitl, Fuzzy Controllers. Timisoara, Romania: Editura Orizonturi Universitare, 1999.
42. M. Sugeno, "An introductory survey of fuzzy control," Inform. Sci., vol. 36, pp. 59-83, 1985.
43. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, pp. 116-132, Feb. 1985.
44. D. Willaeys and N. Malvache, "The use of fuzzy sets for the treatment of fuzzy information by computer," Fuzzy Sets Syst., vol. 5, pp. 323-328, 1981.
45. S. Wonneberger, "Generalization of an invertible mapping between probability and possibility," Fuzzy Sets Syst., vol. 64, pp. 229-240, 1994.
46. R. Yager and D. Filev, Essential of Fuzzy Modeling and Control. New York: Wiley, 1994.
47. L. Zadeh, "Quantitative fuzzy semantics," Inform. Sci., vol. 3, pp. 159-176, 1971.
48. _, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. Syst., Man, Cybern., vol. SMC-3, pp. 28-44, Feb. 1973.
49. _, "Fuzzy sets as a basis for a theory of possibility," Fuzzy Sets Syst., vol. 1, pp. 3-28, 1978.