Local fuzzy modeling: Maximising the basin of attraction

2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Volumn , Issue , 2010, Pages

  Pitarch, J L ^a   Arino C V ^b   Bedate, F ^b   Sala, A ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

^b UNIVERSITAT JAUME I   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BASIN OF ATTRACTION; FUZZY MODELING; GLOBAL STABILITY; LOCAL STABILITY; NON-LINEARITY; QUADRATIC STABILITY; REGION OF INTEREST; STABILITY CONDITION; TAKAGI SUGENO FUZZY SYSTEMS;

FEEDBACK CONTROL; FUZZY CONTROL; FUZZY SETS; MEMBERSHIP FUNCTIONS; STABILIZATION; SYSTEM STABILITY;

CONTROL SYSTEM STABILITY;

EID: 78549271151     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2010.5584617     Document Type: Conference Paper

References (13)

1. Kazuo Tanaka and Hua O. Wang. Fuzzy control systems design and analysis: a linear matrix inequality approach. Wiley-Interscience publication. John Wiley and Sons, 2 edition, 2001.
2. A. Sala and C. Ariño. Polynomial fuzzy models for nonlinear control: A taylor series approach. Fuzzy Systems, IEEE Transactions on, 17:1284-1295, August 2009.
3. Stephen Boyd, Laurent El Ghaoui, Eric Feron, and Venkataramanan Balakrishnan. Linear matrix inequalities in system and control theory. Number 15 in SIAM studies in applied mathematics. SIAM, 1994.
4. H.O Wang, K. Tanaka, and M.F. Griffin. An approach to fuzzy control of nonlinear systems: stability anddesign issues. Fuzzy Systems, IEEE Transactions on, 4:14-23, February 1996. (Pubitemid 126782417)
5. Takagi T. and Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE transactions on systems, man, and cybernetics, 15(1):116-132, February 1985.
6. K. Tanaka, T. Hori, and HO Wang. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems, 11(4):582-589, 2003.
7. T.M. Guerra and L. Vermeiren. Lmi-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form. Automatica, 40:823-829, May 2004.
8. C. Ariño and A. Sala. Local Stability Of Open- And Closed-Loop Fuzzy Systems. In IEEE International Symposium on Intelligent Control (ISIC'2006), pages 2384-2389, Munich (Germany), 2006. IEEE.
9. Thierry-Marie Guerra and Miguel Bernal. A way to escape from the quadratic framework. In FUZZ-IEEE'09: Proceedings of the 18th international conference on Fuzzy Systems, pages 784-789, Piscataway, NJ, USA, 2009. IEEE Press.
10. M. Johansson, A. Rantzer, and K.-E. Arzen. Piecewise quadratic stability of fuzzy systems. Fuzzy Systems, IEEE Transactions on, 7:713-722, December 1999.
11. de Oliveira M.C., Bernussou J., and Geromel J.C. A new discrete-time robust stability condition. Systems and Control Letters, 37(4):261-265, July 1999.
12. D.G. Luenberger. Linear and Nonlinear Programming. Springer, 2 edition, 2003.
13. A. Sala and C. Ariño. Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of polya s theorem. Fuzzy Sets and Systems, 158:2671-2686, June 2007.