메뉴 건너뛰기




Volumn 21, Issue 5, 2013, Pages 883-897

Robust stability and stabilization of uncertain T-S fuzzy systems with time-varying delay: An input-output approach

Author keywords

Delay systems; scaled small gain theorem; stability; Takagi Sugeno (T S) model

Indexed keywords

DELAY SYSTEMS; FEEDBACK INTERCONNECTION; NUMERICAL EXPERIMENTS; SMALL GAIN THEOREM; STABILITY AND STABILIZATIONS; TAKAGI SUGENO FUZZY SYSTEMS; TAKAGI-SUGENO MODELS; TIME-VARYING PARAMETER UNCERTAINTY;

EID: 84885572678     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2012.2235840     Document Type: Article
Times cited : (153)

References (39)
  • 1
    • 0035546633 scopus 로고    scopus 로고
    • Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models
    • DOI 10.1016/S0165-0114(00)00120-2, PII S0165011400001202
    • Y.-Y. Cao and P. M. Frank, "Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models," Fuzzy Sets Syst., vol. 124, no. 2, pp. 213-229, 2001 (Pubitemid 32842234)
    • (2001) Fuzzy Sets and Systems , vol.124 , Issue.2 , pp. 213-229
    • Cao, Y.-Y.1    Frank, P.M.2
  • 2
    • 26844545364 scopus 로고    scopus 로고
    • ∞ control for T-S fuzzy systems with time delay
    • DOI 10.1109/TFUZZ.2004.840112
    • B. Chen and X. Liu, "Delay-dependent robust H? control for T-S fuzzy systems with time delay," IEEE Trans. Fuzzy Syst., vol. 13, no. 4, pp. 544-556, Aug. 2005 (Pubitemid 41461448)
    • (2005) IEEE Transactions on Fuzzy Systems , vol.13 , Issue.4 , pp. 544-556
    • Chen, B.1    Liu, X.2
  • 3
    • 58149483917 scopus 로고    scopus 로고
    • Robust H control of Takagi-Sugeno fuzzy systems with state and input time delays
    • B. Chen, X. Liu, C. Lin, and K. Liu, "Robust H control of Takagi-Sugeno fuzzy systems with state and input time delays," Fuzzy Sets Syst., vol. 160, no. 4, pp. 403-422, 2009
    • (2009) Fuzzy Sets Syst , vol.160 , Issue.4 , pp. 403-422
    • Chen, B.1    Liu, X.2    Lin, C.3    Liu, K.4
  • 4
    • 34547817664 scopus 로고    scopus 로고
    • New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay
    • DOI 10.1016/j.fss.2007.02.018, PII S0165011407000875
    • B. Chen, X. Liu, and S. Tong, "New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay," Fuzzy Sets Syst., vol. 158, no. 20, pp. 2209-2224, 2007 (Pubitemid 47238186)
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.20 , pp. 2209-2224
    • Chen, B.1    Liu, X.2    Tong, S.3
  • 6
    • 33750268081 scopus 로고    scopus 로고
    • A survey on analysis and design of model-based fuzzy control systems
    • DOI 10.1109/TFUZZ.2006.883415
    • G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006 (Pubitemid 44607782)
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.5 , pp. 676-697
    • Feng, G.1
  • 9
    • 79251637666 scopus 로고    scopus 로고
    • Small gain problem in coupled differentialdifference equations, time-varying delays, and direct Lyapunov method
    • K. Gu, Y. Zhang, and S. Xu, "Small gain problem in coupled differentialdifference equations, time-varying delays, and direct Lyapunov method," Int. J. Robust Nonlinear Control, vol. 21, no. 4, pp. 429-451, 2011
    • (2011) Int. J. Robust Nonlinear Control , vol.21 , Issue.4 , pp. 429-451
    • Gu, K.1    Zhang, Y.2    Xu, S.3
  • 10
    • 33845939101 scopus 로고    scopus 로고
    • Delay-range-dependent stability for systems with time-varying delay
    • DOI 10.1016/j.automatica.2006.08.015, PII S0005109806003694
    • Y. He, Q.-G.Wang, C. Lin, and M.Wu, "Delay-range-dependent stability for systems with time-varying delay," Automatica, vol. 43, no. 2, pp. 371-376, 2007 (Pubitemid 46037586)
    • (2007) Automatica , vol.43 , Issue.2 , pp. 371-376
    • He, Y.1    Wang, Q.-G.2    Lin, C.3    Wu, M.4
  • 11
    • 40249108443 scopus 로고    scopus 로고
    • Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay
    • DOI 10.1080/00207720701832531, PII 791061517
    • Y. He, M. Wu, Q. Han, and J. She, "Delay-dependent H control of linear discrete-time systems with an interval-like time-varying delay," Int. J. Syst. Sci., vol. 39, no. 4, pp. 427-436, 2008 (Pubitemid 351333383)
    • (2008) International Journal of Systems Science , vol.39 , Issue.4 , pp. 427-436
    • He, Y.1    Wu, M.2    Han, Q.-L.3    She, J.-H.4
  • 12
    • 61549090587 scopus 로고    scopus 로고
    • Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters
    • H. Li, B. Chen, Q. Zhou, and W. Qian, "Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 1, pp. 94-102, 2009
    • (2009) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.39 , Issue.1 , pp. 94-102
    • Li, H.1    Chen, B.2    Zhou, Q.3    Qian, W.4
  • 13
    • 64949145291 scopus 로고    scopus 로고
    • New approaches on H control of T-S fuzzy systems with interval time-varying delay
    • L. Li, X. Liu, and T. Chai, "New approaches on H control of T-S fuzzy systems with interval time-varying delay," Fuzzy Sets Syst., vol. 160, no. 12, pp. 1669-1688, 2009
    • (2009) Fuzzy Sets Syst , vol.160 , Issue.12 , pp. 1669-1688
    • Li, L.1    Liu, X.2    Chai, T.3
  • 14
    • 84856217142 scopus 로고    scopus 로고
    • A new model transformation of discrete-time systems with time-varying delay and its application to stability analysis
    • Sep
    • X. Li and H. Gao, "A new model transformation of discrete-time systems with time-varying delay and its application to stability analysis," IEEE Trans. Autom. Control, vol. 56, no. 9, pp. 2172-2178, Sep. 2011
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.9 , pp. 2172-2178
    • Li, X.1    Gao, H.2
  • 15
    • 34248324797 scopus 로고    scopus 로고
    • Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay
    • DOI 10.1049/iet-cta:20060299
    • C. Lien, K. Yu, W. Chen, Z. Wan, and Y. Chung, "Stability criteria for uncertain Takagi-Sugeno fuzzy systems with interval time-varying delay," IET Control Theory Appl., vol. 1, no. 3, pp. 764-769, May 2007 (Pubitemid 46738191)
    • (2007) IET Control Theory and Applications , vol.1 , Issue.3 , pp. 764-769
    • Lien, C.H.1    Yu, K.W.2    Chen, W.D.3    Wan, Z.L.4    Chung, Y.J.5
  • 17
    • 39549090151 scopus 로고    scopus 로고
    • Observer-based H fuzzy control design for T-S fuzzy systemswith state delays
    • C. Lin, Q.-G.Wang, T. H. Lee, Y. He, and B. Chen, "Observer-based H fuzzy control design for T-S fuzzy systemswith state delays," Automatica, vol. 44, no. 3, pp. 868-874, 2008
    • (2008) Automatica , vol.44 , Issue.3 , pp. 868-874
    • Lin, C.1    Wang, Q.-G.2    Lee, T.H.3    He, Y.4    Chen, B.5
  • 18
    • 77955278173 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay
    • F. Liu, M. Wu, Y. He, and R. Yokoyama, "New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay," Fuzzy Sets Syst., vol. 161, no. 15, pp. 2033-2042, 2010
    • (2010) Fuzzy Sets Syst , vol.161 , Issue.15 , pp. 2033-2042
    • Liu, F.1    Wu, M.2    He, Y.3    Yokoyama, R.4
  • 19
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Y. S. Moon, P. Park,W. H. Kwon, and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Control, vol. 74, no. 14, pp. 1447-1455, 2001
    • (2001) Int. J. Control , vol.74 , Issue.14 , pp. 1447-1455
    • Moon, Y.S.1    Parkw. Kwon H, P.2    Lee, Y.S.3
  • 20
    • 78650769411 scopus 로고    scopus 로고
    • Equivalent techniques, extra comparisons and less conservative control design for Takagi-Sugeno (TS) fuzzy systems
    • Dec
    • L. Mozelli, R. Palhares, and E. Mendes, "Equivalent techniques, extra comparisons and less conservative control design for Takagi-Sugeno (TS) fuzzy systems," IET Control Theory Appl., vol. 4, no. 12, pp. 2813-2822, Dec. 2010
    • (2010) IET Control Theory Appl , vol.4 , Issue.12 , pp. 2813-2822
    • Mozelli, L.1    Palhares, R.2    Mendes, E.3
  • 21
    • 33947713030 scopus 로고    scopus 로고
    • Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation
    • DOI 10.1016/j.automatica.2006.11.005, PII S0005109807000192
    • D. Peaucelle, D. Arzelier, D. Henrion, and F. Gouaisbaut, "Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation," Automatica, vol. 43, no. 5, pp. 795-804, 2007 (Pubitemid 46507428)
    • (2007) Automatica , vol.43 , Issue.5 , pp. 795-804
    • Peaucelle, D.1    Arzelier, D.2    Henrion, D.3    Gouaisbaut, F.4
  • 22
    • 68849102691 scopus 로고    scopus 로고
    • New approach on robust delaydependent H control for uncertain T-S fuzzy systems with interval time-varying delay
    • Aug
    • C. Peng, D. Yue, and Y.-C. Tian, "New approach on robust delaydependent H control for uncertain T-S fuzzy systems with interval time-varying delay," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 890-900, Aug. 2009
    • (2009) IEEE Trans. Fuzzy Syst , vol.17 , Issue.4 , pp. 890-900
    • Peng, C.1    Yue, D.2    Tian, Y.-C.3
  • 23
    • 70350060313 scopus 로고    scopus 로고
    • On delay-dependent approach for robust stability and stabilization of T-S fuzzy systems with constant delay and uncertainties
    • Oct
    • C. Peng, D. Yue, T.-C. Yang, and E. G. Tian, "On delay-dependent approach for robust stability and stabilization of T-S fuzzy systems with constant delay and uncertainties," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1143-1156, Oct. 2009
    • (2009) IEEE Trans. Fuzzy Syst , vol.17 , Issue.5 , pp. 1143-1156
    • Peng, C.1    Yue, D.2    Yang, T.-C.3    Tian, E.G.4
  • 24
    • 79551640964 scopus 로고    scopus 로고
    • Nonsynchronized-state estimation of multichannel networked nonlinear systems with multiple packet dropouts via T-S fuzzy-Affine dynamicmodels
    • Feb
    • J. Qiu, G. Feng, and H. Gao, "Nonsynchronized-state estimation of multichannel networked nonlinear systems with multiple packet dropouts via T-S fuzzy-Affine dynamicmodels," IEEE Trans. Fuzzy Syst., vol. 19, no. 1, pp. 75-90, Feb. 2011
    • (2011) IEEE Trans. Fuzzy Syst , vol.19 , Issue.1 , pp. 75-90
    • Qiu, J.1    Feng, G.2    Gao, H.3
  • 25
    • 33645065345 scopus 로고    scopus 로고
    • A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design
    • B.-J. Rhee and S. Won, "A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design," Fuzzy Sets Syst., vol. 157, no. 9, pp. 1211-1228, 2006
    • (2006) Fuzzy Sets Syst , vol.157 , Issue.9 , pp. 1211-1228
    • Rhee, B.-J.1    Won, S.2
  • 26
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • J.-P. Richard, "Time-delay systems: An overview of some recent advances and open problems," Automatica, vol. 39, no. 10, pp. 1667-1694, 2003
    • (2003) Automatica , vol.39 , Issue.10 , pp. 1667-1694
    • Richard, J.-P.1
  • 27
    • 0033345091 scopus 로고    scopus 로고
    • Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
    • DOI 10.1109/9.802932
    • P. Shi, E.-K. Boukas, and R. Agarwal, "Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay," IEEE Trans. Autom. Control, vol. 44, no. 11, pp. 2139-2144, Nov. 1999 (Pubitemid 30531659)
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.11 , pp. 2139-2144
    • Shi, P.1    Boukas, E.-K.2    Agarwal, R.K.3
  • 28
    • 0032634990 scopus 로고    scopus 로고
    • RobustH control for linear discrete-time systems with norm-bounded nonlinear uncertainties
    • Jan
    • P. Shi and S.-P. Shue, "RobustH control for linear discrete-time systems with norm-bounded nonlinear uncertainties," IEEE Trans. Autom.Control, vol. 44, no. 1, pp. 108-111, Jan. 1999
    • (1999) IEEE Trans. Autom.Control , vol.44 , Issue.1 , pp. 108-111
    • Shi, P.1    Shue, S.-P.2
  • 30
    • 28044472966 scopus 로고    scopus 로고
    • Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay
    • DOI 10.1016/j.fss.2005.06.022, PII S0165011405003489
    • E. Tian and C. Peng, "Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay," Fuzzy Sets Syst., vol. 157, no. 4, pp. 544-559, 2006 (Pubitemid 41690774)
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.4 , pp. 544-559
    • Tian, E.1    Peng, C.2
  • 31
    • 60549099552 scopus 로고    scopus 로고
    • Robust H control for a class of nonlinear discrete time-delay stochastic systems with missing measurements
    • Z.Wang, D. W. Ho, Y. Liu, and X. Liu, "Robust H control for a class of nonlinear discrete time-delay stochastic systems with missing measurements," Automatica, vol. 45, no. 3, pp. 684-691, 2009
    • (2009) Automatica , vol.45 , Issue.3 , pp. 684-691
    • Wang, Z.1    Ho, D.W.2    Liu, Y.3    Liu, X.4
  • 33
    • 0038548042 scopus 로고    scopus 로고
    • Robust sliding-mode control for uncertain time-delay systems: An LMI approach
    • Jun
    • Y. Xia and Y. Jia, "Robust sliding-mode control for uncertain time-delay systems: An LMI approach," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 1086-1091, Jun. 2003
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.6 , pp. 1086-1091
    • Xia, Y.1    Jia, Y.2
  • 34
    • 55749104718 scopus 로고    scopus 로고
    • A survey of linear matrix inequality techniques in stability analysis of delay systems
    • S. Xu and J. Lam, "A survey of linear matrix inequality techniques in stability analysis of delay systems," Int. J. Syst. Sci., vol. 39, no. 12, pp. 1095-1113, 2008
    • (2008) Int. J. Syst. Sci , vol.39 , Issue.12 , pp. 1095-1113
    • Xu, S.1    Lam, J.2
  • 35
    • 68849117963 scopus 로고    scopus 로고
    • Delay-dependent robust H control for uncertain discrete-time fuzzy systemswith time-varying delays
    • Aug
    • B. Zhang and S. Xu, "Delay-dependent robust H control for uncertain discrete-time fuzzy systemswith time-varying delays," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 809-823, Aug. 2009
    • (2009) IEEE Trans. Fuzzy Syst , vol.17 , Issue.4 , pp. 809-823
    • Zhang, B.1    Xu, S.2
  • 36
    • 0035278761 scopus 로고    scopus 로고
    • Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions
    • DOI 10.1109/9.911428, PII S0018928601010157
    • J. Zhang, C. Knopse, and P. Tsiotras, "Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions," IEEE Trans. Autom. Control, vol. 46, no. 3, pp. 482-486, Mar. 2001 (Pubitemid 32297452)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.3 , pp. 482-486
    • Zhang, J.1    Knopse, C.R.2    Tsiotras, P.3
  • 37
    • 68849094910 scopus 로고    scopus 로고
    • Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach
    • Aug
    • Y. Zhao, H. Gao, J. Lam, and B. Du, "Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 750-762, Aug. 2009
    • (2009) IEEE Trans. Fuzzy Syst , vol.17 , Issue.4 , pp. 750-762
    • Zhao, Y.1    Gao, H.2    Lam, J.3    Du, B.4
  • 39
    • 84859708974 scopus 로고    scopus 로고
    • An improved input delay approach to stabilization of fuzzy systems under variable sampling
    • Apr
    • X.-L. Zhu, B. Chen, D. Yue, and Y. Wang, "An improved input delay approach to stabilization of fuzzy systems under variable sampling," IEEE Trans. Fuzzy Syst., vol. 20, no. 2, pp. 330-341, Apr. 2012
    • (2012) IEEE Trans. Fuzzy Syst , vol.20 , Issue.2 , pp. 330-341
    • Zhu, X.-L.1    Chen, B.2    Yue, D.3    Wang, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.