Robust switching-type fuzzy-model-based output tracker

International Journal of Control, Automation and Systems

Volumn 3, Issue 3, 2005, Pages 411-418

  Lee, Ho Jae ^a,b   Park, Jin Bae ^a   Joo, Young Hoon ^c  

^a Yonsei University   (South Korea)

^b UNIVERSITY OF HOUSTON   (United States)

^c Kunsan National University   (South Korea)

Author keywords

Generalized Lyapunov function; Output tracking; Switching control; Takagi Sugeno fuzzy systems

Indexed keywords

LINEAR SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; ROBOTIC ARMS; UNCERTAIN SYSTEMS;

GENERALIZED LYAPUNOV FUNCTIONS; OUTPUT-TRACKING; SWITCHING CONTROL; TAKAGI-SUGENO FUZZY SYSTEMS;

FUZZY CONTROL;

EID: 24744442188     PISSN: 15986446     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. H. J. Lee, J. B. Park, and G. Chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Trans. on Fuzzy Systems, vol. 9, no. 2, pp. 369-379, 2001.
2. Y. H. Joo, L. S. Shieh, and G. Chen, "Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems," IEEE Trans. on Fuzzy Systems, vol. 7, no. 4, pp. 394-408, 1999.
3. W. Chang, J. B. Park, Y. H. Joo, and G. Chen, "Design of robust fuzzy-model-based controller with sliding mode control for SISO nonlinear systems," Fuzzy Sets and Systems, vol. 125, no. 1, pp. 1-22, 2002.
4. W. Chang, J. B. Park, Y. H. Joo, and G. Chen, "Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign," IEEE Trans. on Circuits and Systems I, vol. 49, no. 4, pp. 509-517, 2002.
5. W. Chang, J. B. Park, and Y. H. Joo, "GA-based intelligent digital redesign of fuzzy-model-based controllers," IEEE Trans. on Fuzzy Systems, vol. 11, no. 1, pp. 35-44, 2003.
6. W. Chang, J. B. Park, Y. H. Joo, and G. Chen, "Static output feedback fuzzy controller for Chen's chaotic attractor with uncertainties," Inform. Sci., vol. 151, pp. 227-244, 2003.
7. H. J. Lee, J. B. Park, and Y. H. Joo, "Comments on "Output tracking and regulation of nonlinear system based on Takagi-Sugeno fuzzy model"," IEEE Trans. on Systems, Man and Cybernetics B, vol. 33, no. 3, pp. 521-523, 2003.
8. K. Kiriakidis, "Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities," IEEE Trans. on Fuzzy Systems, vol. 9, no. 2, pp. 269-277, 2001.
9. H. J. Lee, H. Kim, Y. H. Joo, W. Chang, and J. B. Park, "A new intelligent digital redesign: Global approach," IEEE Trans. on Fuzzy Systems, vol. 12, no. 2, pp. 274-284, 2004.
10. K. Tanaka, T. Ikeda, and H. O.Wang, "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Trans. on Fuzzy Systems, vol. 6, no. 2, pp. 250-265, 1998.
11. C. H. Hu, J. H. Zhu, X. L. Huang, J. C. Hu, and Z. Q. Sun, "Output tracking of an unmanned tandem helicopter based on dynamic augment method," International Journal of Control, Automation, and Systems, vol. 2, no. 2, pp. 156-164, 2004.
12. E. T. Jeung, D. C. Oh, and H. B. Park, "Delay dependent control for time-delayed T-S fuzzy systems using descriptor representation," International Journal of Control, Automation, and Systems, vol. 2, no. 2, pp. 182-188, 2004.
13. Y. Wang, Z. Q. Sun, and F. C. Sun, "Robust fuzzy control of a class of nonlinear descriptor systems with time-varying delay," International Journal of Control, Automation, and Systems, vol. 2, no. 1, pp. 76-82, 2004.
14. Y. W. Cho and C. W. Park, "On-line parameter estimation scheme for uncertain Takagi-Sugeno fuzzy models," International Journal of Control, Automation, and Systems, vol. 2, no. 1, pp. 68-75, 2004.
15. M. Feng and C. J. Harris, "Piecewise Lyapunov stability conditions of fuzzy systems," IEEE Trans. on Systems, Man and Cybernetics B, vol. 31, no. 2, pp. 259-262, 2001.
16. H. J. Lee, J. B. Park, and Y. H. Joo, "Robust control for uncertain T-S fuzzy systems with time-varying input delay," Trans. ASME, Journal of Dynamic Systems, Measurement, and Control, vol. 127, no. 2, pp. 302-306, 2005.
17. J. Ma and G. Feng, "An approach to H1 control of fuzzy dynamic systems," Fuzzy Sets and Systems, vol. 137, no. 3, pp. 367-386, 2003.
18. X. J. Ma and Z. Q. Sun, "Output tracking and regulation of nonlinear system based on Takagi-Sugeno fuzzy model," IEEE Trans. on Systems, Man and Cybernetics B, vol. 30, no. 1, pp. 47-59, Feb., 2000.
19. O. Begovich, E. N. Sanchez, and M. Maldonado, "Takagi-Sugeno fuzzy scheme for real-time trajectory tracking of an underactuated robot," IEEE Trans. on Control Systems Technology, vol. 10, no. 1, pp. 14-20, January 2002.
20. T. H. Hopp and W. E. Schimitendorf "Design of a linear controller for robust tracking and model following," Trans. ASME, Journal of Dynamic Systems, Measurement, and Control, vol. 112, pp. 552-558, 1990.
21. S. H. Zak, "Stabilizing fuzzy system models using linear controllers," IEEE Trans. on Fuzzy Systems, vol. 7, no. 2, pp. 236-240, 1999.
22. V. S. Chellaboina, A. Leonessa, and W. M. Haddad, "Generalized Lyapunov and invarinat set theorems for nonlinear dynamical systems," Systems & Control Letters, vol. 38, pp. 289-295, 1999.
23. I. R. Petersen, "A stabilization algorithm for a class of uncertain linear systems," Systems & Control Letters, vol. 8, pp. 351-357, 1987.
24. H. A. Malki, D. Misir, D. Feigespan, and G. Chen, "Fuzzy PID control of a flexible-joint robot arm with uncertainties from time-varing loads," IEEE Trans. on Control Systems Technology, vol. 5, no. 3, pp. 371-378, 1997.
25. B. A. Francis, "The linear multivariable regulator problem," SIAM Journal on Control and Optimization, vol. 15, pp. 486-505, 1977.