Typical Takagi-Sugeno PI and PD fuzzy controllers: Analytical structures and stability analysis

Information Sciences

Volumn 151, Issue SUPPL, 2003, Pages 245-262

  Ding, Yongsheng ^a   Ying, Hao ^b   Shao, Shihuang ^a  

^a DONGHUA UNIVERSITY   (China)

^b Wayne State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY CONTROL; FUZZY SETS; NONLINEAR SYSTEMS; SYSTEM STABILITY;

STABILITY ANALYSIS;

THREE TERM CONTROL SYSTEMS;

EID: 0037402613     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(02)00302-X     Document Type: Article

References (33)

1. Babuska R. Fuzzy modeling: a control engineering perspective. Proceedings of International Joint Conference of the 4th IEEE International Conference on Fuzzy Systems and the 2nd International Fuzzy Engineering Symposium. 1995;1897-1902.
2. Buckley J.J., Ying H. Linear fuzzy controller: it is a linear non-fuzzy controller. Informat. Sci. 51:1990;183-192.
3. Chen C.-L., Kuo F.-C. Design and analysis of a fuzzy controller. Int. J. Syst. Sci. 26(5):1995;1223-1248.
4. 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 Trans. Fuzzy Syst. 6(1):1998;122-136.
5. Chen G.-R., Ying H. BIBO stability of nonlinear fuzzy PI control systems. Proceedings of the 3rd International Conference on Industrial Fuzzy Control and Intelligent Systems, College Station, Texas, USA, 1993, pp. 128-133. J. Intell. Fuzzy Syst. 5:1997;245-256.
6. Ding Y.-S., Ying H., Shao S.-H. Structure and stability analysis of a Takagi-Sugeno fuzzy PI controller with application to tissue hyperthermia therapy. Soft Comput. 2:1999;183-190.
7. Ding Y.-S., Ying H., Shao S.-H. Real-time fuzzy control of tissue temperature during laser heating. Int. J. Intell. Contr. Syst. 2:1998;361-379.
8. de Figueiredo R.J.P., Chen G.-R. Nonlinear Feedback Control Systems: An Operator Theory Approach. 1993;Academic Press, New York.
9. Filev D.P., Yager R.R. On the analysis of fuzzy logic controllers. Fuzzy Set Syst. 68:1994;39-66.
10. Harris C.J., Moore C.G. Phase plane analysis tools for a class of fuzzy control systems. Proceedings of IEEE Int. Conf. Fuzzy Syst. 1993;511-518.
11. Lewis F.L., Liu K. Towards a paradigm for fuzzy logic control. Automatica. 32(2):1996;167-181.
12. Malki H.A., Li H., Chen G.-R. New design and stability analysis of fuzzy proportional-derivative control systems. IEEE Trans. Fuzzy Syst. 2(4):1994;245-254.
13. Mamdani E.H. Application of fuzzy algorithms for simple dynamic plant. Proc. IEE. 121(2):1974;1585-1588.
14. Michels K., Kruse R. Numerical stability analysis for fuzzy control. Int. J. Approx. Reason. 16(1):1997;3-24.
15. Palm R., Rehfuess U. Fuzzy controllers as gain scheduling approximators. Fuzzy Set Syst. 85(2):1997;233-246.
16. Rugh W.J. Analytical framework for gain scheduling. IEEE Contr. Syst. 11:1991;79-84.
17. Takagi T., Sugeno M. Fuzzy identification of system and its applications to modeling and control. IEEE Trans. Syst., Man Cybernet. 15(1):1985;116-132.
18. Tan S.-H., Hang C.-C., Chai J.-S. Gain scheduling: from conventional to neuro-fuzzy. Automatica. 33(3):1997;411-419.
19. Tanaka K., Ikeda T., Wang H.O. Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H infinity control theory, and linear matrix inequalities. IEEE Trans. Fuzzy Syst. 4(1):1996;1-13.
20. Tanaka K., Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Set Syst. 45(2):1992;135-156.
21. Wang L.-X. A Course in Fuzzy Systems and Control. 1997;Prentice Hall PTR.
22. Wang H.O., Tanaka K., Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. Fuzzy Syst. 4(1):1996;14-23.
23. Xu J.-X., Liu C., Hang C.-C. Designing a stable fuzzy PI control system using extended circle criterion. Int. J. Intell. Contr. Syst. 1(3):1996;355-366.
24. Yen J., Langari R., Zadeh L.A. Industrial Applications of Fuzzy Logic and Intelligent Systems. 1995;IEEE Press.
25. Ying H. 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. 29(2):1993;499-505.
26. Ying H. The simplest fuzzy controllers using different inference methods are different nonlinear proportional-integral controllers with variable gains. Automatica. 29:1993;1579-1589.
27. Ying H. An analytical study on structure, stability and design of general Takagi-Sugeno fuzzy control systems. Automatica. 34:1998;1617-1623.
28. Ying H. Theory and application of a novel Takagi-Sugeno fuzzy PID controller. Informat. Sci. 123:2000;281-292.
29. Ying H. The Takagi-Sugeno fuzzy controllers using the simplified linear control rules are nonlinear variable gain controllers. Automatica. 34(2):1998;157-167.
30. Ying H. Constructing nonlinear variable gain controllers via the Takagi-Sugeno fuzzy control. IEEE Trans. Fuzzy Syst. 6:1998;226-234.
31. Ying H., Siler W., Buckley J.J. Fuzzy control theory: a nonlinear case. Automatica. 26(3):1990;513-520.
32. Zadeh L.A. A rationale for fuzzy control. ASME Trans. Dynam. Syst., Measure. Contr. G94:1972;3-4.
33. Zadeh L.A. Fuzzy sets. Informat. Contr. 8:1965;338-353.