Robust stability and stabilisation for nonlinear uncertain time-delay systems via fuzzy control approach

IET Control Theory and Applications

Volumn 1, Issue 1, 2007, Pages 422-429

  Zuo, Z ^a   Wang, Y ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY CONTROL; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STABILIZATION; UNCERTAIN SYSTEMS;

LEIBNIZ-NEWTON FORMULA; LINEAR MATRIX INEQUALITIES; NORM-BOUNDED UNCERTAINTIES; TAKAGI-SUGENO FUZZY MODEL;

DELAY CIRCUITS;

EID: 33846264837     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20050366     Document Type: Article

References (34)

1. Takagi, T., and Sugeno, M.: ' Fuzzy identification of systems and its application to modeling and control ', IEEE Trans. Syst. Man. Cybern., 1985, 15, p. 116-132 0018-9472
2. Tanaka, K., and Sugeno, M.: ' Stability analysis and design of fuzzy control systems ', Fuzzy Sets Syst., 1992, 45, p. 135-156 10.1016/0165-0114(92) 90113-I 0165-0114
3. Tanaka, K., and Sano, M.: ' A robust stabilization problem of fuzzy control systems its application to backing up control of a truck-trailer ', IEEE Trans. Fuzzy Syst., 1994, 2, p. 119-134 10.1109/91.277961 1063-6706
4. Tanaka, K.: ' Stabilization and stability of fuzzy-neural-linear control systems ', IEEE Trans. Fuzzy Syst., 1995, 3, p. 438-447 10.1109/91.481952 1063-6706
5. ∞ control theory, and linear matrices inequalities ', IEEE Trans. Fuzzy Syst., 1996, 4, p. 1-13 10.1109/91.481840 1063-6706
6. Cao, S.G., Rees, N.W., and Feng, G.: ' Stability analysis and design for a class of continuous-time fuzzy control systems ', Int. J. Control, 1996, 64, p. 1069-1087 0020-7179
7. Tanaka, K., Ikeda, T., and Wang, H.O.: ' Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs ', IEEE Trans. Fuzzy Syst., 1998, 6, p. 250-265 10.1109/91.669023 1063-6706
8. Kim, E., and Lee, H.: ' New approaches to relaxed quadratic stability condition of fuzzy control systems ', IEEE Trans. Fuzzy Syst., 2000, 8, p. 523-534 10.1109/91.873576 1063-6706
9. Teixeira, M.C.M., Assuncao, E., and Avellar, R.G.: ' On relaxed LMI-based designs for fuzzy regulators and fuzzy observers ', IEEE Trans. Fuzzy Syst., 2003, 11, p. 613-623 10.1109/TFUZZ.2003.817840 1063-6706
10. Feng, M., and Harris, C.J.: ' Piecewise Lyapunov stability conditions of fuzzy systems ', IEEE Trans. Syst. Man Cybern. B, 2001, 31, p. 259-262 10.1109/3477.915350 1083-4419
11. Kim, E., and Kim, D.: ' Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: discrete case ', IEEE Trans. Syst. Man Cybern. B, 2001, 31, p. 132-140 1083-4419
12. Kim, E., and Kim, S.: ' Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: continuous case ', IEEE Trans. Fuzzy Syst., 2002, 10, p. 391-400 10.1109/TFUZZ.2002.1006442 1063-6706
13. Lee, H.J., Park, J.B., and Chen, G.: ' Robust fuzzy control of nonlinear systems with parametric uncertainties ', IEEE Trans. Fuzzy Syst., 2001, 9, p. 369-379 10.1109/91.919258 1063-6706
14. Tong, S.C., and Li, H.H.: ' Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties ', Fuzzy Sets Syst., 2002, 131, p. 165-184 10.1016/S0165-0114(01)00216-0 0165-0114
15. Hale, J., and Lunel, S.: ' Introduction to functional differential equations ', (Springer-Verlag, 1993)
16. Moon, Y.S., Park, P., Kwon, W.H., and Lee, Y.S.: ' Delay-dependent robust stabilization of uncertain state-delayed systems ', Int. J. Control, 2001, 74, p. 1447-1455 10.1080/00207170110067116 0020-7179
17. ∞ control: constant and time-varying delays ', Int. J. Control, 2003, 76, p. 48-60 10.1080/0020717021000049151 0020-7179
18. 2 filtering for systems with repeated scalar nonlinearities ', IEEE Trans. Signal Process., 2005, 53, p. 4215-4226 10.1109/TSP.2005.857009 1053-587X
19. ∞ filtering for polytopic discrete-time systems ', IEEE Trans. Signal Process., 2005, 53, p. 3183-3192 10.1109/TSP.2005.851116 1053-587X
20. Gao, H.J., Lam, J., and Wang, C.H.: ' Robust energy-to-peak filter design for stochastic time-delay systems ', Syst. Control Lett., 2006, 55, p. 101-111 10.1016/j.sysconle.2005.05.005 0167-6911
21. ∞ control of uncertain linear state-delayed systems ', Automatica, 1999, 35, p. 1313-1321 10.1016/S0005-1098(99)00025-4 0005-1098
22. Wu, M., He, Y., and She, J.H.: ' New delay-dependent stability criteria and stabilizing method for neutral systems ', IEEE Trans. Autom. Control, 2004, 49, p. 2266-2271 10.1109/TAC.2004.838484 0018-9286
23. Wu, M., He, Y., She, J.H., and Liu, G.P.: ' Delay-dependent criteria for robust stability of time-varying delay systems ', Automatica, 2004, 40, p. 1435-1439 10.1016/j.automatica.2004.03.004 0005-1098
24. Cao, Y.Y., and Frank, P.M.: ' Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach ', IEEE Trans. Fuzzy Syst., 2000, 8, p. 200-211 10.1109/91.842153 1063-6706
25. Cao, Y.Y., and Frank, P.M.: ' Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models ', Fuzzy Sets Syst., 2001, 124, p. 213-229 10.1016/S0165-0114(00)00120-2 0165-0114
26. ∞ control of uncertain fuzzy dynamic systems with time-varying delay ', IEEE Trans. Fuzzy Syst., 2000, 8, p. 657-664 1063-6706
27. Zhang, Y., and Heng, P.A.: ' Stability of fuzzy control systems with bounded uncertain delays ', IEEE Trans. Fuzzy Syst., 2002, 10, p. 92-97 1063-6706
28. Er, M.J., and Lin, D.H.: ' A new approach for stabilizing nonlinear systems with time delays ', Int. J. Intell. Syst., 2002, 17, p. 289-302 10.1002/int.10022 0884-8173
29. Li, C.G., Wang, H.J., and Liao, X.F.: ' Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays ', IEE Proc., Control Theory Appl., 2004, 151, p. 417-421 10.1049/ip-cta:20040641 1350-2379
30. Jeung, E.T., Oh, D.C., and Park, H.B.: ' Delay-dependent control for time-delayed T-S fuzzy systems using descriptor representation ', Int. J. Control Automat. Syst., 2004, 2, p. 182-188
31. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnam, V.: ' Linear matrix inequalities in systems and control theory ', (SIAM Studies in Applied Mathematics, Philadelphia, 1994)
32. Zuo, Z.Q., and Wang, Y.J.: ' Relaxed LMI condition for output feedback guaranteed cost control of uncertain discrete-time systems ', J. Optim. Theory Appl., 2000, 127, p. 207-217 10.1007/s10957-005-6401-8 0022-3239
33. Siljak, D.D., and Stipanovic, D.M.: ' Robust stabilization of nonlinear systems: the LMI approach ', Math. Prob. Eng., 2000, 6, p. 461-493
34. Zuo, Z.Q., and Wang, Y.J.: ' Robust stabilization for non-linear discrete-time systems ', Int. J. Control, 2004, 77, p. 384-388 0020-7179