Non quadratic stability of nonlinear systems in the Takagi-Sugeno form

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 3917-3922

  Blanco, Y ^a   Perruquetti, W ^a   Borne, P ^a  

^a CNRS   (France)

Author keywords

Nonlinear Systems; Stability; Stabilization; Takagi Sugeno Model

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MODAL ANALYSIS; NONLINEAR SYSTEMS; STABILIZATION;

CONTINUOUS-TIME; LIAPUNOV FUNCTION; LINEAR MATRIX INEQUALITY FORMULATIONS; QUADRATIC STABILITY; STABILITY CONDITION; TAKAGI-SUGENO; TAKAGI-SUGENO MODELING; TAKAGI-SUGENO MODELS;

SYSTEM STABILITY;

EID: 84947461603     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2001.7076546     Document Type: Conference Paper

References (11)

1. T. Tagaki, M. Sugeno. "Fuzzy identification of systems and its applications to modeling and control", IEEE Trans. on SMC, vol. SMC-15, no. 1, (1985).
2. K. Tanaka, T. Ikeda, H. O. Wang. "Robust stabilization of uncertain nonlinear systems via fuzzy control: quadratric stabilizability, H control theory, and linear matrix inequalities", IEEE Trans. on Fuzzy Systems, vol. 4, no. 1, pp 1-12, (1996).
3. K. Tanaka, T. Ikeda, H. O. Wang. "Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMIbased design", IEEE Trans. on Fuzzy Systems, vol. 6, no. 2, pp 250-265, (1998).
4. J. Joh, Y.-H. Chen, R. Langari, "On the stability issues of linear Tagaki-Sugeno fuzzy models", IEEE Trans. on Fuzzy Systems, vol. 6, no. 3, pp 402-410, (1998).
5. X.-J. Ma, Z.-Q Sun, Y.-Y. He. "Analysis and design of fuzzy controller and fuzzy observer", IEEE Trans. on Fuzzy Systems, vol. 6, no. 1, pp 41-50, (1998).
6. S. G. Cao, N. W. Rees, G. Feng. "Lyapounov-like stability theorems for continuous-time fuzzy control systems", Int. Journal of Control, vol. 69, no. 1, pp. 49-64, (1998).
7. Y. Blanco, W. Perruquetti, P. Borne. "Relaxed stability conditions for Takagi-Sugeno's fuzzy models", Proc. of 9th IEEE Int. Conf. on Fuzzy Systems, (2000).
8. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan. "Linear matrix inequalities in system and control theory", SIAM Studies in Applied Mathematics, 15, Philadelphia, USA, (1994).
9. F. H. Clarke, Y. S. Ledyaev, R. J. Stern, P. R. Wolenski. "Nonsmooth Analysis and Control Theory", Graduate Texts in Mathematics, Springer-Verlag, New-York, (1998).
10. H. Wang, K. Tanaka, M. Griff in. "Parallel distributed compensation of nonlinear systems by Tagaki and Sugeno's fuzzy model ", Proc. FUZZ-IEEE, Yokohama, Japan, pp 531-538. (1995).
11. T. M. Guerra, L. Vermeiren. "Control laws for Takagi-Sugeno models", Fuzzy Sets and Systems. (to appear)