Adaptive T-S fuzzy-neural modeling and control for general MIMO unknown nonaffine nonlinear systems using projection update laws

Automatica

Volumn 46, Issue 5, 2010, Pages 852-863

  Wang, Wei Yen ^a   Chien, Yi Hsing ^b   Leu, Yih Guang ^a   Lee, Tsu Tian ^b  

^a NATIONAL TAIWAN NORMAL UNIVERSITY   (Taiwan)

^b NATIONAL TAIPEI UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

Nonaffine nonlinear systems; On line modeling; Projection update law; T S fuzzy neural model

Indexed keywords

ADJUSTABLE PARAMETERS; EXTERNAL DISTURBANCES; FUZZY-NEURAL CONTROLLERS; LINEARIZED SYSTEMS; MODELING ERRORS; MULTIPLE-INPUT-MULTIPLE-OUTPUT SYSTEMS; NON-AFFINE NONLINEAR SYSTEMS; NONLINEAR FUNCTIONS; NOVEL DESIGN; ONLINE MODELING; PARAMETER MATRICES; PROJECTION ALGORITHMS; REAL SYSTEMS; T-S FUZZY; TAKAGI-SUGENO; TRACKING ERRORS;

CONTROLLERS; ERRORS; MIMO SYSTEMS; NONLINEAR SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 77950628888     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.02.024     Document Type: Article

References (24)

1. Cao G.S., Rees N.W., and Feng G. Analysis and design for a class of complex control systems: parts I and II. Automatica 33 6 (1997) 1017-1028
2. Chen C.-T. Linear system theory and design (1999)
3. Chien, L.-H., Wang, W.-Y., Li, I.-H., & Su, S.-F. (2006). T-S fuzzy control for uncertain nonlinear systems using adaptive fuzzy approach. In IEEE international conference on fuzzy systems.
4. Feng G., Cao S.G., Rees N.W., and Chak C.K. Design of fuzzy control systems with guaranteed stability. Fuzzy Sets and Systems 85 (1997) 1-10
5. Grossman S.I., and Derrick W.R. Advanced engineering mathematics (1998), Happer & Row
6. Hornick K., Stinchcombe M., and White H. Multilayer feed-forward networks are universal approximators. Neural Networks 2 (1989) 359-366
7. Hou Y.-Y., Liao T.-L., and Yan J.-J. Stability analysis of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays. IEEE Transactions on Systems, Man and Cybernetics, Part B 37 3 (2007) 720-726
8. Ioannou P.A., and Datta A. Robust adaptive control: a unified approach. Proceedings of the IEEE 79 12 (1991) 1736-1768
9. Lam H.K., and Leung F.H.F. LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi-Sugeno's form. IEEE Transactions on Systems, Man and Cybernetics, Part B 37 5 (2007) 1396-1406
10. Lee, Y. S., Kuo, T. Y., & Wang, W. Y. (2004). Fuzzy neural network genetic approach to design the SOC estimator for battery powered electric scooter. In IEEE conference on power electronics specialists conference (pp. 2759-2765).
11. Leu Y.-G., Wang W.-Y., and Lee T.-T. Robust adaptive fuzzy-neural controllers for uncertain nonlinear systems. IEEE Transactions on Robotics and Automation 15 5 (1999) 805-817
12. Leu Y.-G., Wang W.-Y., and Lee T.-T. Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems. IEEE Transactions on Neural Networks 16 4 (2005) 853-861
13. Lian K.-Y., Chiang T.-S., Chiu C.-S., and Liu P. Synthesis of fuzzy model-based designs to synchronization and secure communications for chaotic systems. IEEE Transactions on Systems, Man and Cybernetics, Part B 31 (2001) 66-83
14. ∞ output tracking control for nonlinear systems via T-S fuzzy model approach. IEEE Transactions on Systems, Man and Cybernetics, Part B 36 2 (2006) 450-457
15. Luenberger D.G. Optimization by vector space methods (1969), Wiley, New York
16. Park C.W., and Cho Y.W. T-S model based indirect adaptive fuzzy control using online parameter estimation. IEEE Transactions on Systems, Man and Cybernetics, Part B 34 6 (2004) 2293-2302
17. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man and Cybernetics 15 (1985) 116-132
18. Tanaka K., Iwasaki M., and Wang H.O. Switching control of an R/C hovercraft: stabilization and smooth switching. IEEE Transactions on Systems, Man and Cybernetics, Part B 31 (2001) 853-863
19. Vidyasagar M. Nonlinear systems analysis (1993), Prentice-Hall
20. Wang W.-Y., Cheng C.-Y., and Leu Y.-G. An online GA-based output-feedback direct adaptive fuzzy-neural controller for uncertain nonlinear systems. IEEE Transactions on Systems, Man and Cybernetics, Part B 34 1 (2004) 334-345
21. Wang W.-Y., Leu Y.-G., and Hsu C.-C. Robust adaptive fuzzy-neural control of nonlinear dynamical systems using generalized projection update law and variable structure controller. IEEE Transactions on Systems, Man and Cybernetics, Part B 31 1 (2001) 140-147
22. Wang H.O., Tanaka K., and Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Transactions on Fuzzy Systems 4 (1996) 14-23
23. Yen J., Wang L., and Gillespie C.W. Improving the interpretability of TSK fuzzy models by combining global learning and local learning. IEEE Transactions on Fuzzy Systems 6 (1998) 530-537
24. Zheng F., Wang Q.-G., and Lee T.H. Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach. IEEE Transactions on Fuzzy Systems 10 (2002) 686-697