A way to improve results for the stabilization of continuous-time fuzzy descriptor models

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2007, Pages 5960-5964

  Guerra, Thierry Marie ^a   Bernal, Miguel ^b   Kruszewski, Alexandre ^a   Afroun, Mohamed ^c  

^a UNIVERSITÉ DE VALENCIENNES   (France)

^b Mexican National System of Research

^c ECOLE MILITAIRE POLYTECHNIQUE   (Algeria)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS;

FUZZY DESCRIPTOR MODELS; SYSTEM STABILIZATION;

FUZZY SYSTEMS;

EID: 62749100517     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4434726     Document Type: Conference Paper

References (16)

1. Gahinet P., Nemirovski A., Laub J. & Chilali M. (1995). LMI Control Toolbox. TheMathWorks Inc., Natick, MA.
2. Guerra T.M., Guelton K., & DelPrat S. (2004). A class of nonlinear observers in descriptor form: LMI based design with application in biomechanics, Proc. 2nd. AFNC IFAC Conference, 23-29.
3. Guerra T.M. & Vermeiren L., (2004). LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in Takagi-Sugeno's form. Automatica, 40, 823-829.
4. ∞ control law designs based on fuzzy observers for T-S fuzzy systems via LMI, Automatica, 39(9), 1571-1582.
5. Rhee B-J. & Won S., (2006). A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design. Fuzzy Sets and Systems, 157, 1211-1228.
6. Takagi T. & Sugeno M., (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, 15, 116-132.
7. Tanaka, K. & Sugeno M., (1990). Stability analysis of fuzzy systems using Lyapunov's direct method. Proc. NAFIPS'90, 133-136.
8. Tanaka K., Ikeda T. & Wang H.O., (1998). Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs. IEEE Transactions on Fuzzy Systems, 6, 250-264.
9. Tanaka K. & Wang H.O., (2001). Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. John Wiley & Sons, Inc., New York.
10. Tanaka K., Hori T. & Wang H.O., (2003). A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Transactions on Fuzzy Systems, 11, 582-589.
11. Taniguchi T., Tanaka K., Yamafuji K. & Wang H.O. (1999). Fuzzy descriptor systems: stability analysis and design via LMIs. Proc. American Control Conference, 1827-1831.
12. Taniguchi T., Tanaka K. & Wang H.O. (1999). Fuzzy descriptor systems and fuzzy controller designs. Proc. Eight Intntl. Fuzzy Systems Association World Congress, 2, 655-659.
13. Taniguchi T., Tanaka K. & Wang H.O. (2001). Model construction, rule reduction and robust compensation for generalized form of Takagi-Sugeno fuzzy systems IEEE Transactions on Fuzzy Systems, 9(4), 525-537.
14. Teixeira M., Assuncao R. & Avellar E. (2003). On relaxed LMI-based design for fuzzy regulators and fuzzy observers. IEEE Transactions on Fuzzy Systems, 11(5), 613-623.
15. Tuan H.D., Apkarian P., Narikiyo T. & Yamamoto Y., (2001). Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Transactions on Fuzzy Systems, 9, 324-332.
16. Wang H.O., Tanaka K. & Griffin M., (1996). An approach to fuzzy control of nonlinear systems: Stability and design issues. IEEE Transactions on Fuzzy Systems, 4, 14-23.