Fuzzy linearizing control approach for a class of nonlinear discrete-time systems and its equivalence with internal model control structure.

IEEE International Conference on Fuzzy Systems

Volumn 1, Issue , 2002, Pages 122-127

  Boukezzoula, Reda ^a   Galichet, Sylvie ^a   Foulloy, Laurent ^a  

^a UNIVERSITÉ DE SAVOIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY FEEDBACK LINEARIZING CONTROLLER; FUZZY MODEL INVERSION; TAKAGI-SUGENO FUZZY MODEL;

APPROXIMATION THEORY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; EQUIVALENCE CLASSES; FEEDBACK CONTROL; FUZZY CONTROL; FUZZY SETS; INVERSE PROBLEMS; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

CONTROL SYSTEM ANALYSIS;

EID: 0036456120     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. Boukezzoula R., Galichet S. and Foulloy L., "Fuzzy Nonlinear Adaptive Internal Model Control (FNAIMC)", to appear in European Journal of Control, Vol. 7, No. 5, 2001.
2. ∞ Optimization", 10th IEEE Int. Conf. on Fuzzy Systems (FUZZ-IEEE2001), Melbourne, Australia, Dec. 2001.
3. ∞ Tracking Design of Uncertain Nonlinear SISO Systems: Adaptive Fuzzy Approach", IEEE Trans. on Fuzzy Systems, Vol. 4, No. 1, pp. 32-43, February 1996.
4. Economou C.G., Morari M., Palsson B.O., "Internal Model Control 5. Extention to Nonlinear Systems", Ind Eng. Chem. Proc. Des. and Dev., Vol. 25, pp. 403-409, 1986.
5. Jagannathan S., "Adaptive Fuzzy Logic Control of Feedback Linearizable Discrete-Time Dynamical Systems Under Persistence Excitation", Automatica, Vol. 34, No. 11, pp. 1295-1310, 1998.
6. Nahas E.P., Henson M.A. and Seborg D.E., "Nonlinear Internal Model Control Strategy for Neural Networks", Computers Chem. Engng, vol. 16, No. 12, pp. 1039-1057, 1992.
7. Nakoula Y., Galichet S. and Foulloy L., "A Learning Method for Structure and Parameter Identification of Fuzzy Linguistic Models", in Fuzzy Model Identification - Selected Approaches (H. Hellendoorn, D. Driankov Eds), Berlin, Springer Verlag, 1997.
8. Slotine J.J., Li W., "Applied Nonlinear Control," Englewood Cliffs, New Jersey: Prentice-Hall, 1991.
9. Spooner J.T., Passino K., "Stable Adaptive Control Using Fuzzy Systems and Neural Networks", IEEE Trans. on Fuzzy Systems, Vol. 4, No. 3, pp. 339-359, August 1996.
10. Su C. and Stepanenko Y. "Adaptive Control of a Class of Nonlinear Systems with Fuzzy Logic", IEEE Trans. on Fuzzy Systems, Vol. 2, No. 4, pp. 285-294, November 1994.
11. Sugeno M., "On Stability of Fuzzy Systems Expressed by Fuzzy Rules with Singleton Consequences", IEEE Trans. on Fuzzy Systems, Vol. 7, No. 7, No. 2, April 1999.
12. Takagi T., Sugeno T., "Fuzzy Identification of Systems and its Application to Modeling and Control," IEEE Trans. on Syst. Man and Cyber., Vol. 15, pp. 116-132, Jan. 1985.
13. Vandergrift, M., Lewis F.L., Jagannathan S. and Liu K., "Adaptive Fuzzy Logic Control of Discrete Time Dynamical Systems", Proc. IEEE Int. Conference on Intelligent Control, pp. 395-401, 1995.
14. Wang L.X., "Stable Adaptive Fuzzy Control of Nonlinear Systems," IEEE Trans. on Fuzzy Systems, Vol. 1, No. 2, pp. 146-154, May 1993.
15. Zeng X. J. and Singh M. G. "Approximation Accuracy Analysis of Fuzzy Systems as Function Approximators", IEEE Transactions on Fuzzy Systems, Vol. 4, No. 1, February 1996.