Static output feedback controller design for Takagi-Sugeno systems - A fuzzy Lyapunov LMI approach

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 4150-4155

  Bouarar, Tahar ^a   Guelton, Kevin ^a   Manamanni, Noureddine ^a  

^a UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STABILIZATION;

CLOSED LOOP DYNAMIC; DESCRIPTOR REDUNDANCIES; DESIGN METHODOLOGY; EXTERNAL DISTURBANCES; STATIC OUTPUT FEEDBACK; STATIC OUTPUT FEEDBACK CONTROLLERS; TAKAGI-SUGENO SYSTEMS; TAKAGISUGENO (T-S);

CONTROLLERS;

EID: 77950845945     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400952     Document Type: Conference Paper

References (29)

1. V.L. Syrmos, C.T. Abdallah, P. Dorato, K. Grigoriadis, "Static output feedback - A survey", Automatica, Vol.33, , no.2, pp. 125-137, 1997.
2. T. Takagi, M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., Vol.15, no.1, 1985, pp. 116-132.
3. K. Tanaka, H.O. Wang, Fuzzy control systems design and analysis. A linear matrix inequality approach, Wiley, New York, 2001.
4. H.O. Wang, K. Tanaka, and M.F. Griffin, "An approach to fuzzy control of nonlinear systems: stability and the design issues," IEEE Trans. Fuzzy Systems., vol.4, no.1, pp. 14-23, 1996.
5. A. Sala, T.M. Guerra, R. Babuska, "Perspectives of fuzzy systems and control", Fuzzy Sets and Systems, Vol.153, no.3, pp. 432-444, 2005.
6. X. Liu, Q. Zhang, "New approaches to H∞ controller design based on fuzzy observers for fuzzy T-S systems via LMI", Automatica, Vol.39, no.9, pp. 1571-1582, 2003.
7. H.D. Tuan, P. Apkarian, T. Narikiyo, Y. Yamamoto, "Parametrized linear matrix inequality techniques in fuzzy control design," IEEE Trans. Fuzzy Syst., Vol.9, no.2, pp. 324-332, 2001.
8. M. Johansson, A. Rantzer, K.E. Arzen, "Piecewise quadratic stability of fuzzy systems", IEEE Trans. Fuzzy Syst., Vol.7., no.6, pp. 713-722, 1999.
9. K. Tanaka, T. Hori, and H.O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol.11, no.4, pp. 582-589, 2003.
10. T.M. Guerra, L. Vermeiren., "LMI based relaxed nonquadratic stabilizations for non-linear systems in the Takagi-Sugeno's form", Automatica, Vol.40, no.5, pp. 823-829, 2004
11. G. Feng, "A Survey on Analysis and Design of Model-Based Fuzzy Control Systems," IEEE Trans Fuzzy Syst., vol.14, no.5, pp.676- 697, 2006.
12. B.J. Rhee, S. Won, "A new Lyapunov function approach for a Takagi-Sugeno fuzzy control system design," Fuzzy Sets and Systems, vol.157, no.9, pp. 1211-1228, 2006.
13. K. Tanaka, T. Ikeda, H.O.Wang, "Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs", IEEE Trans. Fuzzy Syst., Vol 6, no.2, pp. 1-16, 1998.
14. X.J. Ma, Z.Q. Sun, Y.Y. He., "Analysis and design of fuzzy controller and fuzzy observer", IEEE Trans. fuzzy syst., Vol.6, no.1, pp. 41-50, 1998.
15. J. Yoneyama, M. Nishikawa, H. Katayama, A. Ichikawa, "Output stabilization of Takagi-Sugeno fuzzy systems", Fuzzy Sets and Systems, Vol 111, pp.253-266, 2000.
16. J. Yoneyama, M. Nishikawa, H. Katayama, A. Ichikawa, "Design of output feedback controllers for Takagi-Sugeno fuzzy systems", Fuzzy Sets and Systems, Vol.121, no.1, pp. 127-148, 2001.
17. T.M. Guerra, A. Kruszewski, L. Vermeiren, H. Tirmant, " Conditions of output stabilization for nonlinear models in the Takagi-Sugeno's form", Fuzzy Sets and Systems, 157, pp. 1248-1259, 2006.
18. ∞ criterion for uncertain and disturbed T-S models", Information Sciences, Vol 179, no.4, pp. 446-457, 2009.
19. J. Li, H. O. Wang, D. Niemann and K. Tanaka, "Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach", Information Sciences, Vol.123, no.3-4, pp. 201-221, 2000.
20. W. Assawinchaichote, S.K. Nguang and P. Shi, "output feedback control design for uncertain singularly perturbed systems: an LMI approach", Automatica, Vol.40, no.12, pp. 2147-2152, 2004.
21. S.K. Nguang, P. Shi, "Robust H∞ output feedback control design for fuzzy dynamic systems with quadratic stability constraints: An LMI approach", Information Sciences, Vol.176, no.15, pp. 2161-2191, 2006.
22. M. Zerar, K. Guelton, N. Manamanni, "Linear fractional transformation based H-infinity output stabilization for Takagi-Sugeno fuzzy models", Mediterranean Journal of Measurement and Control, Vol.4, no.3, pp. 111-121, 2008.
23. K. Guelton, T. Bouarar and N. Manamanni, Fuzzy Lyapunov LMI based output feedback stabilization of Takagi Sugeno systems using descriptor redundancy, in Proc. IEEE Int. Conf. Fuzzy Systems, Hong Kong, June 2008, pp. 1212-1218.
24. K. Guelton, T. Bouarar, N. Manamanni, "Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi-Sugeno systems - a descriptor redundancy approach", Fuzzy Sets and Systems, Vol.160, no.19, pp. 2796-2811, 2009.
25. th IEEE Med. Conf. Control Automation, Lisbon, 2002, Portugal.
26. ∞ static output feedback control of fuzzy systems: An ILMI approach", IEEE Trans. Syst., Man, Cybern. B, Vol.36, no.1, pp. 216-222, 2006.
27. D. Huang, S.K. Nguang, "Static output feedback controller design for fuzzy systems: An ILMI approach", Information Sciences, Vol.177, pp. 3005-3015, 2007.
28. K. Tanaka, H. Ohtake, H.O. Wang, "A Descriptor System Approach to Fuzzy Control System Design via Fuzzy Lyapunov Functions", IEEE Trans Fuzzy Systems, vol.15, no.3, pp.333- 341, 2007.
29. T. M. Guerra, M. Bernal, A. Kruszewski and M. Afroun, "A way to improve results for the stabilization of continuous-time fuzzy descriptor models", in Proc. of the 46th IEEE Conf. Decision Control, New Orleans, USA, 2007.