Controller design for a class of nonlinear systems based on fuzzy hyperbolic model

Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Volumn 1, Issue , 2006, Pages 873-877

  Yang, Jun ^a   Liu, Derong ^b   Feng, Jian ^a   Zhang, Huaguang ^a  

^a NORTHEASTERN UNIVERSITY   (China)

^b University of Illinois at Chicago   (United States)

Author keywords

Fuzzy hyperbolic H control; Fuzzy hyperbolic model (FHM); Polytopic type uncertainties

Indexed keywords

COMPUTER SIMULATION; CONTROL EQUIPMENT; FUZZY CONTROL; LARGE SCALE SYSTEMS; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS; STATE SPACE METHODS;

APPROXIMATION ERROR; FREE-WEIGHTING MATRICES; FUZZY HYPERBOLIC MODEL (FHM); POLYTOPIC-TYPE UNCERTAINTIES;

NONLINEAR SYSTEMS;

EID: 34047225619     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2006.1712468     Document Type: Conference Paper

References (15)

1. L. Wang and J. Mendel, "Fuzzy basis functions, universal approximation, and orthogonal least squares learning," IEEE Trans. on Neural Networks, vol. 3, no. 5, pp. 807-814, 1992.
2. Y. Leu, T. Lee, and W. Wang, "Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems," IEEE Trans. on Syst., Man, And Cybern, Part B. vol. 19, no. 5, pp. 583-591, 1999.
3. ∞ tracking design of uncertain nonlinear S1SO systems: adaptive fuzzy approach," IEEE Trans. on Fuzzy Systems, vol. 4, no. 1, pp. 32-43, 1996.
4. H. Zhang, L. Cai, and Z. Bien, "A fuzzy basis function vector-based multivariable adaptive controller for nonlinear systems," IEEE Trans. on Syst., Man, And Cybern. Part B., vol. 30, no. 1, pp. 210-217, 2000.
5. ∞ performance evaluator," Proc. of the 2002 Int. Conf. on Control and Automation, Xiamen, China, Jun. 2002, pp. 55-59.
6. Y. Cao and P. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach," IEEE Trans. on Fuzzy Systems, vol. 8, no. 2, pp. 200-211, 2000.
7. ∞, robust control for nonlinear time-delay system via fuzzy performance evaluator," Proc. of the 12th IEEE Int. Conf. on Fuzzy Systems, St. Louis Marriott, 2003, pp. 555-560.
8. 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., vol. 4, no. 1, pp. 14-23, Feb. 1996.
9. S. G. Cao, N. W. Rees, and G. Feng, "Quadratic stability analysis and design of continuous-time fuzzy control systems, Int. J. Syst. Sci., vol. 27, pp. 193-203, 1996.
10. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp. 116-132, Jan. 1985.
11. H. Zhang and Y. Quan, "Modeling, identification and control of a class of nonlinear system," IEEE Trans. Fuzzy Syst, vol. 9, 2001, pp. 349-354.
12. Y. Quan, Studies on Fuzzy Modeling and Control Methods of Nonlinear Systems, Ph.D. Dissertation, Northeastern University, Shenyang, China, 2001.
13. Y. He, M. Wu, J.-H. She, and G.-P. Liu, "Parameter-Dependent Lyapunov function for stability of time-delay systems with polytopictype uncertainties," IEEE Trans. on Automatic Control, vol. 49, no. 5, pp. 828-832, 2004.
14. ∞ filter design for a class of nonlinear continous-time dynamic systems," Proc. of the 43th IEEE Int. Conf. on Decision and Control, Atlantis, Paradise Island, Bahamas, Dec. 2004, pp. 225-230.
15. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishan, Linear Matrix Inequalities in System and Control Theory, Philadelphia, PA: SIAM, 1994.