Delay-dependent stability and H∞ control for a class of fuzzy descriptor systems with time-delay

Fuzzy Sets and Systems

Volumn 160, Issue 12, 2009, Pages 1689-1707

  Zhang, Hongbin ^a   Shen, Yanyan ^b   Feng, Gang ^c  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b YANSHAN UNIVERSITY   (China)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Fuzzy descriptor system; H control; Linear matrix inequalities (LMIs); Stability; Takagi Sugeno model; Time delay

Indexed keywords

CONTROL SYNTHESIS; CONTROLLER SYNTHESIS; DELAY-DEPENDENT STABILITIES; DELAY-DEPENDENT STABILITY CRITERION; DESCRIPTOR SYSTEMS; FUZZY DESCRIPTOR SYSTEM; LINEAR MATRIX INEQUALITIES (LMIS); STABILITY ANALYSIS; TAKAGI-SUGENO FUZZY MODELS; TAKAGI-SUGENO MODEL;

DESCRIBING FUNCTIONS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MODAL ANALYSIS; STABILITY CRITERIA; SWITCHING SYSTEMS; SYSTEM STABILITY; TIME DELAY; UNCERTAIN SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 64949153477     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.09.014     Document Type: Article

References (32)

1. Boukas E.K., and Liu Z.K. Delay-dependent stability analysis of singular linear continuous-time system. IEE Proc. Control Theory Appl. 150 4 (2003) 172-180
2. Cao S.G., Rees N.W., and Feng G. Stability analysis and design for a class of continuous-time fuzzy control systems. Internat. J. Control 64 6 (1996) 1069-1087
3. ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems. IEEE Trans. Fuzzy Systems 8 4 (2000) 406-415
4. ∞ control for T-S fuzzy systems with time delay. IEEE Trans. Fuzzy Systems 13 4 (2005) 544-556
5. Dai L. Singular Control Systems (1989), Springer, Berlin, Germany
6. Feng G. Approaches to quadratic stabilization of uncertain fuzzy dynamic systems. IEEE Trans. Circuits Systems I 48 6 (2001) 760-769
7. Feng G. Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans. Fuzzy Systems 11 (2003) 605-612
8. Feng G. A survey on analysis and design of model-based fuzzy control systems. IEEE Trans. Fuzzy Systems 14 5 (2006) 676-697
9. Fridman E. Stability of linear descriptor systems with delay: a Lyapunov-based approach. J. Math. Anal. Appl. 273 (2000) 24-44
10. ∞-control of linear state-delay descriptor systems: an LMI approach. Linear Algebra Appl. 351 (2000) 271-302
11. Guelton K., Delprat S., and Guerra T.M. An alternative to inverse dynamics joint torques estimation in human stance based on a Takagi-Sugeno unknown-inputs observer in the descriptor form. Control Eng. Practice 16 12 (2008) 1414-1426
12. Huang C.P. Stability analysis of discrete singular fuzzy systems. Fuzzy Sets and Systems 151 (2005) 155-165
13. Kim E., and Kim D. Stability analysis and synthesis for an affine fuzzy system via LMI and ILMI: discrete case. IEEE Trans. Systems Man Cybernet. B 31 1 (2001) 132-140
14. ∞ control of uncertain fuzzy dynamic systems with time-varying delay. IEEE Trans. Fuzzy Systems 8 (2000) 523-533
15. Lin C., Lam J., Wang J.L., and Yang G.H. Analysis on robust stability for interval descriptor systems. Systems Control Lett. 42 (2001) 267-278
16. Lin C., Wang J.L., Yang G.-H., and Lam J. Robust stabilization via state feedback for descriptor systems with uncertainties in the derivative matrix. Internat. J. Control 73 5 (2000) 407-415
17. Lin C., Wang Q.W., and Lee T.H. Stability and stabilization of a class of fuzzy time-delay descriptor systems. IEEE Trans. Fuzzy Systems 14 4 (2006) 542-551
18. ∞ control for descriptor system: a matrix inequalities approach. Automatica 33 (1997) 669-673
19. Moon Y.S., Park P., Kwon W.H., and Lee Y.S. Delay-dependent robust stabilization of uncertain state-delayed systems. Internat. J. Control 74 14 (2001) 1447-1455
20. Takagi T., and Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Systems Man Cybernet. 15 1 (1985) 116-132
21. ∞ control theory and linear matrix inequalities. IEEE Trans. Fuzzy Systems 4 1 (1996) 1-13
22. Tanaka K., and Kosaki T. Design of a stable fuzzy controller for an articulated vehicle. IEEE Trans. Systems Man Cybernet. B 27 3 (1997) 552-558
23. Tanaka K., and Sano M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer. IEEE Trans. Fuzzy Systems 2 1 (1994) 119-134
24. Taniguchi T., Tanaka K., and Wang H.O. Fuzzy descriptor systems and nonlinear model following control. IEEE Trans. Fuzzy Systems 8 4 (2000) 442-452
25. Wang Y., Sun Z.Q., and Sun F.C. Robust fuzzy control of a class of nonlinear descriptor systems with time-varying delay. Internat. J. Control Automat. Systems 2 1 (2004) 76-82
26. Xu S.Y., Dooren P.V., Stefan R., and Lam J. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Trans. Automat. Control 47 7 (2002) 1122-1128
27. ∞ control for uncertain discrete singular systems with pole placement in a disk. Systems Control Lett. 43 (2001) 85-93
28. Xu S.Y., Song B., Lu J.W., and Lam J. Robust stability of uncertain discrete-time singular fuzzy systems. Fuzzy Sets and Systems 158 20 (2007) 2306-2316
29. Zames G. Feedback and optimal sensitivity: model reference transformation, multiplicative seminorms and approximate inverse. IEEE Trans. Automat. Control 26 (1981) 301-320
30. ∞ Controller design of uncertain discrete-time fuzzy systems with time delays, IEEE Trans. Fuzzy Systems, in press.
31. ∞ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions. IEEE Trans. Systems Man Cybernet. B Cybernet. 38 5 (2008) 1390-1401
32. ∞ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions. IEEE Trans. Systems Man Cybernet. B Cybernet. 36 3 (2006) 685-698