Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay

Fuzzy Sets and Systems

Volumn 159, Issue 20, 2008, Pages 2713-2729

  Peng, Chen ^a,b   Tian, Yu Chu ^b   Tian, Engang ^c  

^a NANJING NORMAL UNIVERSITY   (China)

^b QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^c DONGHUA UNIVERSITY   (China)

Author keywords

Linear matrix inequalities (LMIs); Robust stability; Stabilization; T S fuzzy systems; Time delay systems

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; FEEDBACK; FUZZY CONTROL; FUZZY LOGIC; FUZZY SYSTEMS; MATRIX ALGEBRA; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS); STABILIZATION; STATE FEEDBACK; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING SYSTEMS;

CONE COMPLEMENTARITY; CONTROLLER SYNTHESIS; DELAY DEPENDENTS; IMPROVED STABILITY; JENSEN'S INEQUALITY; LINEAR MATRIX INEQUALITIES (LMIS); LYAPUNOV-KRASOVSKII FUNCTIONALS; MEMORY-LESS STATE FEEDBACK; MINIMIZATION ALGORITHMS; MODEL TRANSFORMATIONS; NUMERICAL EXAMPLES; ROBUST STABILITY; ROBUST STABILIZATION; STABILIZATION PROBLEMS; T-S FUZZY SYSTEMS; TIME-DELAY SYSTEMS; TIME-VARYING DELAYED; WEIGHING MATRICES;

DELAY CONTROL SYSTEMS;

EID: 48949093708     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.03.009     Document Type: Article

References (30)

1. Cao Y.-Y., and Frank P.M. Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models. Fuzzy Sets and Systems 124 (2001) 213-229
2. ∞ control for T-S fuzzy systems with time delay. IEEE Trans. Fuzzy Systems 13 (2005) 544-556
3. Chen B., Liu X.P., and Tong S.C. New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay. Fuzzy Sets and Systems 158 20 (2007) 2209-2224
4. Chen W.H., and Zheng W.X. Delay-dependent robust stabilization for uncertain neutral systems with distributed delays. Automatica 43 (2007) 95-104
5. EI Ghaoui L., Oustry F., and AitRami M. A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. Automat. Control 42 8 (1997) 1171-1176
6. Fridman E., and Shaked U. An improved stabilization method for linear time-delay systems. IEEE Trans. Automat. Control 47 (2002) 1931-1937
7. Gu K., Kharitonov V.L., and Chen J. Stability of Time-delay Systems (2003), Birkhauser, Basel
8. Guan X.P., and Chen C.L. Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays. IEEE Trans. Fuzzy Systems 12 (2004) 236-249
9. He Y., Wang Q.G., Lin C., and Wu M. Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems. Internat. J. Robust Nonlinear Control 15 (2005) 923-933
10. He Y., Wang Q.-G., Xie L.H., and Lin C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans. Automat. Control 52 1 (2007) 293-299
11. Hespanha J.P., Naghshtabrizi P., and Xu Y. A survey of recent results in networked control systems. Proc. IEEE 95 1 (2007) 138-162
12. ∞ control for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay. IEEE Trans. Fuzzy Systems 15 2 (2007) 321-331
13. 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. 151 (2004) 417-421
14. Lien C.H., Yu K.W., Chen W.D., Wan Z.L., and Chung Y.J. Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay. IET Control Theory Appl. 1 3 (2007) 764-769
15. Lin C., Wang Q.-G., and Lee T.H. Less conservative stability conditions for fuzzy large-scale systems with time delays. Chaos Solitons Fractals 29 (2006) 1147-1154
16. Lin C., Wang Q.G., and Lee T.H. A less conservative robust stability test for linear uncertain time-delay systems. IEEE Trans. Automat. Control 51 1 (2006) 87-90
17. ∞ control for uncertain fuzzy systems with time-varying delays, Nonlinear Anal. (2007), in press.
18. 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 (2001) 1447-1455
19. Parlakçi{dotless} M.N.A. Robust stability of uncertain time-varying state-delayed systems. IET Control Theory Appl. 153 4 (2006) 469-477
20. Parlakçi{dotless} M.N.A. Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time-delay systems. Internat. J. Robust Nonlinear Control 16 (2006) 599-636
21. Peng C., and Tian Y.-C. Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. J. Comput. Appl. Math. 214 2 (2008) 480-494
22. C. Peng, Y.-C. Tian, State feedback controller design of networked control systems with interval time-varying delay and nonlinearity, Internat. J. Robust Nonlinear Control (2008), in press (doi: 10.1002/rnc.1278).
23. Takagi T., and Sugeno M. Fuzzy identification of its applications to modeling and control. IEEE Trans. Systems Man Cybernet. 15 (1985) 116-132
24. Tian E.G., and Peng C. Delay dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay. Fuzzy Sets and Systems 157 (2006) 544-559
25. Wang R.J., Lin W.W., and Wang W.J. Stabilizability of linear quadratic state feedback for uncertain fuzzy time-delay systems. IEEE Trans. Systems Man Cybernet. Part B 34 (2004) 1288-1292
26. Wu H.N., and Li H.X. New approach to delay-dependent stability analysis and stabilization for continuous time fuzzy systems with time-varying delay. IEEE Trans. Fuzzy Systems 15 3 (2007) 482-493
27. Wu M., He Y., and She J.-H. New delay-dependent stability criteria and stabilizing method for neutral systems. IEEE Trans. Automat. Control 49 (2004) 2266-2271
28. ∞ control for systems with time-varying delay. Automatica 42 (2006) 343-348
29. Yoneyama J. Robust stability and stabilization for uncertain Takagi-Sugeno fuzzy time-delay systems. Fuzzy Sets and Systems 158 (2007) 115-134
30. Yoneyama J. New delay-dependent approach to robust stability and stabilization for Takagi-Sugeno fuzzy time-delay systems. Fuzzy Sets and Systems 158 (2007) 2225-2337