Structural analysis of fuzzy controllers with nonlinear input fuzzy sets in relation to nonlinear PID control with variable gains

Automatica

Volumn 40, Issue 9, 2004, Pages 1551-1559

  Haj Ali, Amin ^a   Ying, Hao ^a  

^a Wayne State University   (United States)

Author keywords

Analytical structure; Fuzzy control; Nonlinear fuzzy sets; PID control; Variable gain control

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; ERROR ANALYSIS; FUZZY SETS; PROBLEM SOLVING; STRUCTURAL ANALYSIS; THEOREM PROVING;

ANALYTICAL STRUCTURES; NONLINEAR FUZZY SETS; PROPOTIONAL INTEGRAL DERIVATIVE (PID) CONTROLS; VARIABLE GAIN CONTROLS;

FUZZY CONTROL;

EID: 3142607460     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.03.019     Document Type: Article

References (31)

1. Åström, K. J., & Hägglund, T. (1995). PID controllers: Theory, design and tuning. Research Triangle Park, N.C.: Instrument Society of America.
2. Åström K.J., Hägglund T. The future of PID control. Control Engineering Practice. 9:2001;1163-1175.
3. Bennett S. The past of PID controllers. Annual Reviews in Control. 25:2001;43-53.
4. Bohn C., Atherton D.P. An analysis package comparing PID anti-windup strategies. IEEE Control Systems Magazine. 15:1995;34-40.
5. Chen C.-L., Chang F.-Y. Design and analysis of neural/fuzzy variable structural PID control systems. IEE Proceedings - Control Theory and Applications. 143:1996;200-208.
6. Chen C.-L., Wang S.-N., Hsieh C.-T., Chang F.-Y. Theoretical analysis of crisp-type fuzzy logic controllers using various t-norm sum-gravity inference methods. IEEE Transactions on Fuzzy Systems. 6:1998;122-136.
7. Deshpande, P.B. (1991). Improve quality control on-line with PID controllers. Chemical Engineering Progress, 71-76.
8. Hajjaji A.E., Rachid A. Explicit formulas for fuzzy controller. Fuzzy Sets and Systems. 62:1994;135-141.
9. Huang, H., & Han, J.-Q. (2002). Nonlinear PID controller and its applications in power plants. Proceedings of international conference on power system technology (pp. 1513-1517).
10. Jiang, F., & Gao, Z. (2001). An application of nonlinear PID control to a class of truck ABS problems. Proceedings of the 40th IEEE conference on decision and control (pp. 516-521).
11. Lewis F.L., Liu K. Towards a paradigm for fuzzy logic control. Automatica. 32:1996;167-181.
12. Li H.X., Gatland H.B. A new methodology for designing a fuzzy logic controller. IEEE Transactions on Systems, Man and Cybernetics. 25:1995;505-512.
13. Mann G.K.I., Hu B.-G., Gosine R.G. Analysis of direct action fuzzy PID controller structures. IEEE Transactions on Systems, Man and Cybernetics (Part B). 29:1999;371-388.
14. Ni, Y., Jiao, L., Chen, S., & Zhang, B. (1998). Application of a nonlinear PID controller on STATCOM with a differential tracker. Proceedings of international conference on energy management and power delivery (pp. 29-34).
15. Parra-Vega, V., & Arimoto, S. (2001). Nonlinear PID control with sliding modes for tracking of robot manipulators. Proceedings of IEEE international conference on control applications (pp. 351-356).
16. Santibanez, V., & Kelly, R. (1998). A class of nonlinear PID global regulators for robot manipulators. Proceedings of IEEE international conference on robotics and automation (pp. 3601-3606).
17. Sheppard L.C. Computer control of the infusion of vasoactive drugs. Annual of Biomedical Engineering. 8:1980;431-444.
18. Tan, Y.-H., Dang, X.-J., & van Cauwenberghe, A. (1999). Generalised nonlinear PID controller based on neural networks. Proceedings of information, decision and control (pp. 519-524).
19. Wong C.C., Chou C.H., Mon D.L. Studies on the output of fuzzy controller with multiple inputs. Fuzzy Sets and Systems. 57:1993;149-158.
20. Yager R.R., Filev D.P. Essentials of fuzzy modeling and control. 1994;Wiley, New York.
21. Yen, J., Langari, R., & Zadeh, L. A. (Eds.) (1995). Industrial applications of fuzzy control and intelligent systems. New York: IEEE Press.
22. Ying H. The simplest fuzzy controllers using different inference methods are different nonlinear proportional-integral controllers with variable gains. Automatica. 29:1993;1579-1589.
23. Ying H. General analytical structure of typical fuzzy controllers and their limiting structure theorems. Automatica. 29:1993;1139-1143.
24. Ying H. Practical design of nonlinear fuzzy controllers with stability analysis for regulating processes with unknown mathematical models. Automatica. 30:1994;1185-1195.
25. Ying H. Constructing nonlinear variable gain controllers via the Takagi-Sugeno fuzzy control. IEEE Transactions on Fuzzy Systems. 6:1998;226-234.
26. Ying H. The Takagi-Sugeno fuzzy controllers using the simplified linear control rules are nonlinear variable gain controllers. Automatica. 34:1998;157-167.
27. Ying H. Theory and application of a novel Takagi-Sugeno fuzzy PID controller. Information Sciences. 123:2000;281-292.
28. Ying H. Fuzzy control and modeling: Analytical foundations and applications. 2000;IEEE Press, New York.
29. Ying H. A general technique for deriving analytical structure of fuzzy controllers that use arbitrary trapezoidal/triangular input fuzzy sets and Zadeh fuzzy logic AND operator. Automatica. 39:2003;1171-1184.
30. Ying H., McEachern M., Eddleman D., Sheppard L.C. Fuzzy control of mean arterial pressure in postsurgical patients with sodium nitroprusside infusion. IEEE Transactions on Biomedical Engineering. 39:1992;1060-1070.
31. Ying H., Siler W., Buckley J.J. Fuzzy control theory: A nonlinear case. Automatica. 26:1990;513-520