Constructing nonlinear variable gain controllers via the Takagi-Sugeno fuzzy control

IEEE Transactions on Fuzzy Systems

Volumn 6, Issue 2, 1998, Pages 226-234

  Ying, Hao ^a,b  

^a IEEE   (United States)

^b UNIVERSITY OF TEXAS MEDICAL BRANCH   (United States)

Author keywords

Fuzzy control; Fuzzy controller design; Fuzzy systems; Nonlinear control; PID control; Stability; Takagi Sugeno fuzzy control; Variable gain control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; CONTROL THEORY; FUZZY SETS; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

FUZZY SYSTEMS; NONLINEAR VARIABLE GAIN CONTROLLERS; TAKAGI-SUGENO FUZZY CONTROL;

FUZZY CONTROL;

EID: 0032072496     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/91.669021     Document Type: Article

References (34)

1. F. Bouslama and A. Ichikawa, "Fuzzy control rules and their natural control laws," Fuzzy Sets Syst., vol. 48, pp. 65-86, 1992.
2. J. J. Buckley, "Theory of the fuzzy controller: An introduction," Fuzzy Sets Syst., vol. 51, pp. 249-258, 1992.
3. G. Chen and H. Ying, "BIBO stability of nonlinear fuzzy PI control systems," J. Intell. Fuzzy Syst., to be published.
4. G. Chen, "Conventional and fuzzy PID controllers: An overview," Int. J. Intell. Contr. Syst., vol. 1, no. 2, pp. 235-246, 1996.
5. P. B. Deshpande, "Improve quality control on-line with PID controllers," Chem. Eng. Progress, pp. 71-76, May 1991.
6. D. P. Filev and R. R. Yager, "A generalized defuzzification method via BAD distributions," Int. J. Intell. Syst., vol. 6, pp. 687-697, 1991.
7. A. E. Hajjaji and A. Rachid, "Explicit formulas for fuzzy controller," Fuzzy Sets Syst.s, vol. 62, pp. 135-141, 1994.
8. R. Langari and M. Tomizuka, "Stability of fuzzy linguistic control systems," in Proc. IEEE Conf. Decision Contr., HI, 1990.
9. R. Langari, "A nonlinear formulation of a class of fuzzy linguistic control algorithms," in Proc. Amer. Contr. Conf., Green Valley, AZ, pp. 2273-22781992.
10. C. C. Lee, "Fuzzy logic in control system: Fuzzy logic controller - Parts I and II," IEEE Trans. Syst., Man, .Cybern., vol. 20, pp. 408-435, 1990.
11. F. L. Lewis and K. Liu, "Toward a paradigm for fuzzy logic control," Automatica, vol. 32, pp. 167-181, 1996.
12. H. A. Malki, H. D. Li, and G. Chen, "New design and stability analysis of fuzzy PF controllers," IEEE Trans. Fuzzy Syst., vol. 2, pp. 245-254, 1994.
13. F. Matia, A. Jimenez, R. Galan, and R. Sanz, "Fuzzy controllers: Lifting the linear-nonlinear frontier," Fuzzy Sets Syst., vol. 52, pp. 113-129, 1992.
14. J. M. Mendel, "Fuzzy logic systems for engineering: A tutorial," Proc. IEEE, vol. 83, pp. 345-377, 1995.
15. K. Ogata, System Dynamics, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1992.
16. Y. M. Pok and J. X. Xu, "An analysis of fuzzy control systems using vector space," in Proc. 2nd IEEE Int. Conf. Fuzzy Syst., San Francisco, CA, Mar. 28-Apr. 1, 1993, pp. 363-368.
17. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
18. 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, 1985.
19. ∞- control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, pp. 1-13, Feb. 1996.
20. K. L. Tang and R. J. Mulholland, "Comparing fuzzy logic with classical controller designs," IEEE Trans. Syst., Man, Cybern., vol. 17, pp. 1085-1087, 1987.
21. H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issue," IEEE Trans. Fuzzy Syst., vol. 4, pp. 14-23, Feb. 1996.
22. L. Wang, Adaptive Fuzzy Systems and Control - Design and Stability Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
23. P. Z. Wang, H. M. Zhang, and W. Xu, "Pad-analysis of fuzzy control stability," Fuzzy Sets Syst., vol. 38, pp. 27-42, 1990.
24. C. C. Wong, C. H. Chou, and D. L. Mon, "Studies on the output of fuzzy controller with multiple inputs," Fuzzy Sets Syst., vol. 57, pp. 149-158, 1993.
25. R. R. Yager and D. P. Filev, Essentials of Fuzzy Modeling and Control. New York: Wiley, 1994.
26. J. Yen, R. Langari, and L. A. Zadeh, Eds., Industrial Applications of Fuzzy Control and Intelligent Systems. New York: IEEE Press, 1995.
27. H. Ying, W. Siler, and J. J. Buckley, "Fuzzy control theory: A nonlinear case," Automatica, vol. 26, pp. 513-520, 1990.
28. H. Ying, "The simplest fuzzy controllers using different inference methods are different nonlinear proportional-integral controllers with variable gains," Automatica, vol. 29, pp. 1579-1589, 1993.
29. _, "A fuzzy controller with linear control rules is the sum of a global two-dimensional multilevel relay and a local nonlinear proportional-integral controller," Automatica, vol. 29, pp. 499-505, 1993.
30. _, "Practical design of nonlinear fuzzy controllers with stability analysis for regulating processes with unknown mathematical models," Automatica, vol. 30, pp. 1185-1195, 1994.
31. _, "Analytical structure of a two-input two-output fuzzy controller and its relation to PI and multilevel relay controllers," Fuzzy Sets Syst., vol. 63, pp. 21-33, 1994.
32. H. Ying and L. C. Sheppard, "Analytical structure of Takagi-Sugeno fuzzy PID controllers and their applications in control of mean arterial pressure in patients," in Proc. 5th Eur. Congress Intell. Tech. Soft Computing, Aachen, Germany, Sept. 1997, pp. 1374-1378.
33. H. Ying, "The Takagi-Sugeno fuzzy controllers using the simplified linear control rules are nonlinear variable gain controllers," Automatica, to be published.
34. _, "General Takagi-Sugeno fuzzy systems with simplified linear rule consequent are universal controllers, models, and filters," Inform. Sci., to be published.