Robust adaptive controller design for a class of uncertain nonlinear systems using online T-S fuzzy-neural modeling approach

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 41, Issue 2, 2011, Pages 542-552

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

^a NATIONAL TAIPEI UNIVERSITY OF TECHNOLOGY   (Taiwan)

^b NATIONAL TAIWAN NORMAL UNIVERSITY   (Taiwan)

Author keywords

Fuzzy neural model; online modeling; robust adaptive control; uncertain nonlinear systems

Indexed keywords

ADAPTIVE SCHEME; EXTERNAL DISTURBANCES; FUZZY-NEURAL; LINEARIZED SYSTEMS; LYAPUNOV THEORIES; MODELING ERRORS; NON-AFFINE NONLINEAR SYSTEMS; NONLINEAR FUNCTIONS; NOVEL METHODS; ON-LINE IDENTIFICATION; ONLINE MODELING; OUTPUT TRAJECTORY; ROBUST ADAPTIVE CONTROL; ROBUST ADAPTIVE CONTROLLER; ROBUST TRACKING CONTROLLER; SIMULATION RESULT; STRICTLY POSITIVE REAL; T-S FUZZY; T-S FUZZY CONTROL; TAKAGI-SUGENO; UNCERTAIN FUNCTIONS; UNCERTAIN NONLINEAR SYSTEMS;

ALGORITHMS; CLOSED LOOP SYSTEMS; CONTROLLERS; FUZZY CONTROL; NONLINEAR SYSTEMS; ONLINE SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

ADAPTIVE CONTROL SYSTEMS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER SIMULATION; FEEDBACK SYSTEM; NONLINEAR SYSTEM; ONLINE SYSTEM; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; FEEDBACK; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; ONLINE SYSTEMS;

EID: 79952898690     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2010.2065801     Document Type: Article

References (31)

1. H. J. Lee, H. Kim, Y. H. Joo,W. Chang, and J. B. Park, "A new intelligent digital redesign for T-S fuzzy system: Global approach," IEEE Trans. Fuzzy Syst. 12, no. 2, pp. 274-284, Apr. 2004.
2. X. Liu and Q. Zhang, "Approaches to quadratic stability conditions and H8 control designs for T-S fuzzy systems," IEEE Trans. Fuzzy Syst. 11, no. 6, pp. 830-839, Dec. 2003.
3. G. Feng, S. G. Cao, N. W. Rees, and C. K. Chak, "Design of fuzzy control systems with guaranteed stability," Fuzzy Sets Syst. 85, no. 1, pp. 1-10, Jan. 1997. (Pubitemid 127699091)
4. S. G. Cao, N. W. Rees, and G. Feng, "Stability analysis and design for a class of continuous-time fuzzy control systems," Int. J. Control, 64, no. 6, pp. 1069-1087, Aug. 1996. (Pubitemid 126519438)
5. C. W. Park and Y. W. Cho, "T-S model based indirect adaptive fuzzy control using online parameter estimation," IEEE Trans. Syst., Man, Cybern. B, Cybern. 34, no. 6, pp. 2293-2302, Dec. 2004.
6. N. Manamanni, B. Mansouri, A. Hamzaoui, and J. Zaytoon, "Relaxed conditions in tracking control design for a TS fuzzy model," J. Intell. Fuzzy Syst. 18, no. 2, pp. 185-210, Apr. 2007. (Pubitemid 46868436)
7. R.-J. Wai and Z.-W. Yang, "Adaptive fuzzy neural network control design via a T-S fuzzy model for a robot manipulator including actuator dynamics," IEEE Trans. Syst., Man, Cybern. B, Cybern. 38, no. 5, pp. 1326-1346, Oct. 2008.
8. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst. 45, no. 2, pp. 135-156, Jan. 1992.
9. H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Syst. 4, no. 1, pp. 14-23, Feb. 1996. (Pubitemid 126782417)
10. H. Zhang, C. Li, and X. Liao, "Stability analysis and H-infinity controller design of fuzzy large-scale systems based on piecewise Lyapunov functions," IEEE Trans. Syst., Man, Cybern. B, Cybern. 36, no. 3, pp. 685-698, Jun. 2006. (Pubitemid 43811324)
11. C. Lin, Q.-G. Wang, and T. H. Lee, "H8 output tracking control for nonlinear systems via T-S fuzzy model approach," IEEE Trans. Syst., Man, Cybern. B, Cybern. 36, no. 2, pp. 450-457, Apr. 2006.
12. H. K. Lam and E. W. S. Chan, "Stability analysis of sampled-data fuzzy-model-based control systems," Int. J. Fuzzy Syst. 10, no. 2, pp. 129-135, 2008.
13. Y.-B. Zhao, G.-P. Liu, and D. Rees, "Modeling and stabilization of continuous-time packet-based networked control systems," IEEE Trans. Syst., Man, Cybern. B, Cybern. 39, no. 6, pp. 1646-1652, Dec. 2009.
14. Y.-G. Leu, W.-Y. Wang, and T.-T. Lee, "Robust adaptive fuzzy-neural controllers for uncertain nonlinear systems," IEEE Trans. Robot. Autom. 15, no. 5, pp. 805-817, Oct. 1999. (Pubitemid 30514349)
15. W.-Y. Wang, Y.-H. Chien, and I.-H. Li, "An on-line robust and adaptive T-S fuzzy-neural controller for more general unknown systems," Int. J. Fuzzy Syst. 10, no. 1, pp. 33-43, 2008. (Pubitemid 351554687)
16. Y.-C. Hsueh and S.-F. Su, "Fuzzy sliding controller design with adaptive approximate error feedback," Int. J. Fuzzy Syst. 11, no. 1, pp. 36-43, 2009.
17. Y.-J. Huang, T.-C. Kuo, and S.-H. Chang, "Adaptive sliding-mode control for nonlinear systems with uncertain parameters," IEEE Trans. Syst.,Man, Cybern. B, Cybern. 38, no. 2, pp. 534-539, Apr. 2008. (Pubitemid 351479571)
18. M. C. Hwang and X. Hu, "A robust position/force learning controller of manipulators via nonlinear H8 control and neural networks," IEEE Trans. Syst., Man, Cybern. B, Cybern. 30, no. 2, pp. 310-321, Apr. 2000.
19. W.-Y.Wang, Y.-H. Chien, Y.-G. Leu, and T.-T. Lee, "Adaptive T-S fuzzyneural modeling and control for general MIMO unknown nonaffine nonlinear systems using projection update laws," Automatica, 46, no. 5, pp. 852-863, May 2010.
20. X. Jia, D. Zhang, X. Hao, and N. Zheng, "Fuzzy H8 tracking control for nonlinear networked control systems in T-S fuzzy model," IEEE Trans. Syst., Man, Cybern. B, Cybern. 39, no. 4, pp. 1073-1079, Mar. 2009.
21. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control," IEEE Trans. Syst., Man, Cybern. SMC-15, no. 1, pp. 116-132, Jan. 1985.
22. L.-H. Chien, W.-Y. Wang, I.-H. Li, and S.-F. Su, "T-S fuzzy control for uncertain nonlinear systems using adaptive fuzzy approach," in Proc. IEEE Int. Conf. Fuzzy Syst., Vancouver, BC, Canada, Jul. 2006, pp. 800-805. (Pubitemid 46948846)
23. Y.-G. Leu, W.-Y. Wang, and T.-T. Lee, "Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems," IEEE Trans. Neural Netw. 16, no. 4, pp. 853-861, Jul. 2005. (Pubitemid 41064317)
24. C.-A. Chen, H.-K. Chiang, and J.-C. Shen, "Fuzzy sliding mode control of a magnetic ball suspension system," Int. J. Fuzzy Syst. 11, no. 2, pp. 97-106, 2009.
25. S. I. Grossman and W. R. Derrick, Advanced Engineering Mathematics. New York: Harper & Row, 1998.
26. M. Vidyasagar, Nonlinear Systems Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1993.
27. C. T. Chen, Linear Systems Theory and Design. New York: 1Holt, Rinehart and Winston, 1999.
28. W.-Y. Wang, Y.-G. Leu, and C.-C. Hsu, "Robust adaptive fuzzy-neural control of nonlinear dynamical systems using generalized projection update law and variable structure controller," IEEE Trans. Syst., Man, Cybern. B, Cybern. 31, no. 1, pp. 140-147, Feb. 2001. (Pubitemid 32300854)
29. P. A. Ioannou and A. Datta, "Robust adaptive control: A unified approach," Proc. IEEE, 79, no. 12, pp. 1736-1768, Dec. 1991.
30. K. Hornick, M. Stinchcombe, and H. White, "Multilayer feedforward networks are universal approximators," Neural Netw. 2, no. 5, pp. 359-366, 1989. (Pubitemid 20609008)
31. W.-Y. Wang, I.-H. Li, L.-C. Chien, and S.-F. Su, "On-line modeling and control via T-S fuzzy models for nonaffine nonlinear systems using a second type adaptive fuzzy approach," Int. J. Fuzzy Syst. 9, no. 4, pp. 152-161, Sep. 2007. (Pubitemid 351204984)