Control design for fuzzy systems based on relaxed nonquadratic stability and H∞ performance conditions

IEEE Transactions on Fuzzy Systems

Volumn 15, Issue 2, 2007, Pages 188-199

  Zhou, Shaosheng ^a   Lam, James ^b   Zheng, Wei Xing ^c  

^a HANGZHOU DIANZI UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Basis dependent Lyapunov function; Discrete time systems; Fuzzy systems; H control; Nonlinear systems; Nonquadratic stability

Indexed keywords

CONTROL SYSTEM STABILITY; CONTROL SYSTEM SYNTHESIS; DISCRETE TIME CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS;

INEQUALITY CONSTRAINTS; MATRIX VARIABLES; NONQUADRATIC STABILITY;

FUZZY SYSTEMS;

EID: 34147109661     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.879996     Document Type: Article

References (14)

1. Y. Cao and P. M. Frank, "Robust H∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 8, pp. 406-415, 2000.
2. D. Choi and P. Park, "H∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent lyapunov functions," IEEE Trans. Fuzzy Syst., vol. 11, pp. 271-278, 2003.
3. 2 norm characterizations and controller parametrizations for discrete-time systems," Int. J. Contr., vol. 75, pp. 666-679, 2002.
4. P. Gahinet, A. Nemirovski, A. Laub, and M. Chilali, LMI Control Toolbox. Englewood Cliffs, NJ: The Math Works Inc., 1994.
5. T. M. Guerra and W. Perruquetti, "Non-quadratic stabilisation of discrete Takagi Sugeno fuzzy models," in Proc. 2001 IEEE Int. Fuzzy Syst. Conf., Apr. 2001, pp. 1271-1274.
6. T. M. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form," Automatica, vol. 40, no. 8, pp. 823-829, 2004.
7. E. Kim and H. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 523-533, 2000.
8. H. Lee, J. Park, and G. Chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Trans. Fuzzy Syst., vol. 9, pp. 369-379, 2001.
9. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, pp. 116-132, 1985.
10. K. Tanaka, T. Ikeda, and H. O. Wang, "Fuzzy regulators ans fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 250-265, 1998.
11. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control system," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, 1992.
12. T. Tanaka, T. Ikeda, and H. O. Wang, "Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stability H∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 1-13, 1996.
13. S. Zhou, G. Feng, J. Lam, and S. Xu, "Robust H∞ control for discrete fuzzy systems via basis-dependent Lyapunov functions," Inf. Sci., vol. 174, no. 3-4, pp. 197-217, 2005.
14. S. S. Zhou and J. Lam, "Robust stabilization of delayed singular systems with linear fractional parametric uncertainties," Circuits Syst. Signal Process., vol. 22, no. 6, pp. 579-588, 2003.