Non-quadratic stabilization conditions for uncertain discrete nonlinear models in the Takagi-Sugeno’s form

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 37, Issue 16, 2004, Pages 61-66

  Guerra, Thierry Marie ^a   Kruszewski, Alexandre ^a  

^a UNIVERSITÉ DE VALENCIENNES   (France)

Author keywords

Lyapunov non quadratic stability; Nonlinear control; Uncertain nonlinear models

Indexed keywords

LYAPUNOV FUNCTIONS; STABILIZATION;

DISCRETE NONLINEAR MODEL; NON LINEAR CONTROL; NON QUADRATIC LYAPUNOV FUNCTIONS; NON-LINEAR MODEL; QUADRATIC LYAPUNOV FUNCTION; QUADRATIC STABILITY; QUADRATIC STABILIZATION; ROBUST STABILIZATION;

NONLINEAR SYSTEMS;

EID: 77955311553     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)30851-0     Document Type: Conference Paper

References (18)

1. Y. Blanco, W. Perruquetti, P. Borne (2001). Non quadratic stability of nonlinear systems in the Takagi-Sugeno form. ECC’01, Porto, Portugal.
2. S. Boyd, L. El Ghaoui, E. Féron, V. balakrishnan (1994). Linear matrix inequalities in system and control theory. Studies in Applied Mathematics. Philadelphia, PA: SIAM, June.
3. J.V. De Oliveira, J. Bernussou, J.C. Geromel (1999). A new discrete-time robust stability condition. Systems & Control Letters, 37, 261-265
4. G. Feng, L. Wang (2001). Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. Fuzzy IEEE’2001, Melbourne, Australia
5. T.M. Guerra, L. Vermeiren (2001). Control law for Takagi-Sugeno fuzzy models. Fuzzy Sets & Systems, 120, 95-108
6. T.M. Guerra, L. Vermeiren (2004). LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in Takagi-Sugeno’s form. Automatica, vol 40 (5), 823-829
7. M. Johansson, A. Rantzer, K. Arzen (1999). Piecewise quadratic stability of fuzzy systems. IEEE Transactions on Fuzzy Systems 7, 713-722
8. E. Kim, H. Lee (2000). New Approaches to Relaxed Quadratic Stability Condition of Fuzzy Control Systems, IEEE Transactions on Fuzzy Systems, vol. 8, n°5, pp. 523-533
9. f control for uncertain nonlinear systems via state feedback: an LMI approach. Fuzzy Sets & Systems 120, 123-134
10. T. Takagi, M. Sugeno (1985). Fuzzy identification of systems and its application to modelling and control. IEEE transactions on System, Man and Cybernetics, vol 15 (1), 116-132
11. K. Tanaka, T. Hori, T. Taniguchi, H.O. Wang (2001a). Stabilization of nonlinear systems based on fuzzy Lyapunov function. Proceedings IFAC Advances in Fuzzy & Neural Control, Elsevier Publisher, Valencia, Spain.
12. K. Tanaka, T. Hori, H.O. Wang (2001b). A fuzzy Lyapunov to fuzzy control system design. ACC’2001, Arlington, USA.
13. K. Tanaka, T. Ikeda, H.O. Wang (1998). Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs. IEEE Trans. on Fuzzy Systems, 6 (2) 1-16
14. T. Taniguchi, K. Tanaka, H. Ohtake, H.O. Wang (2001). Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems. IEEE Trans. on Fuzzy Systems, vol. 9, n°4, pp. 525-537.
15. H.O. Wang, K. Tanaka, M. Griffin (1996). An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. on Fuzzy Systems, 4 (1) 14-23.
16. Y. Wang, L. Xie, C.E. De Souza (1992), Robust control of a class of uncertain nonlinear systems. Systems & Control letters, 19, 139-149.
17. f controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, vol 39 (9), 1571-1582
18. f control for linear systems with norm-bounded time_varying uncertainty. IEEE Trans. on Automatic Control, 37, 1188-1191