메뉴 건너뛰기




Volumn 41, Issue 3, 2011, Pages 713-724

LMI-based stability analysis of fuzzy-model-based control systems using approximated polynomial membership functions

Author keywords

Fuzzy control; linear matrix inequality (LMI); membership function shape dependent stability conditions; TakagiSugeno (TS) fuzzy model

Indexed keywords

FUZZY CONTROLLERS; FUZZY MODELS; LINEAR MATRIX INEQUALITY (LMI); MEMBERSHIP-FUNCTION-SHAPE-DEPENDENT STABILITY CONDITIONS; OPERATING REGIONS; PRODUCT TERM; S-PROCEDURES; SIMULATION EXAMPLE; STABILITY ANALYSIS; STABILITY CONDITION; STATE VARIABLES; TAKAGI-SUGENO FUZZY MODELS;

EID: 79957501867     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2010.2086443     Document Type: Article
Times cited : (57)

References (32)
  • 1
    • 26944497186 scopus 로고    scopus 로고
    • Perspectives of fuzzy systems and control
    • DOI 10.1016/j.fss.2005.05.041, PII S0165011405002915
    • A. Sala, T. M. Guerra, and R. Babuska, "Perspectives of fuzzy systems and control," Fuzzy Sets Syst., vol. 156, no. 3, pp. 432-444, Dec. 2005. (Pubitemid 41475502)
    • (2005) Fuzzy Sets and Systems , vol.156 , Issue.3 , pp. 432-444
    • Sala, A.1    Guerra, T.M.2    Babuska, R.3
  • 2
    • 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
  • 3
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modelling and control
    • Feb.
    • T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modelling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Feb. 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern. , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 4
    • 45449126257 scopus 로고
    • Structure identification of fuzzy model
    • Oct.
    • M. Sugeno and G. T. Kang, "Structure identification of fuzzy model," Fuzzy Sets Syst., vol. 28, no. 1, pp. 15-33, Oct. 1988.
    • (1988) Fuzzy Sets Syst. , vol.28 , Issue.1 , pp. 15-33
    • Sugeno, M.1    Kang, G.T.2
  • 5
    • 0026644930 scopus 로고
    • Stability analysis and design of fuzzy control systems
    • Jan.
    • K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, Jan. 1992.
    • (1992) Fuzzy Sets Syst. , vol.45 , Issue.2 , pp. 135-156
    • Tanaka, K.1    Sugeno, M.2
  • 6
    • 0032072029 scopus 로고    scopus 로고
    • Analysis and design of a stable fuzzy control system
    • May
    • C. S. Chen andW. L. Chen, "Analysis and design of a stable fuzzy control system," Fuzzy Sets Syst., vol. 96, no. 1, pp. 21-35, May 1998.
    • (1998) Fuzzy Sets Syst. , vol.96 , Issue.1 , pp. 21-35
    • Chen, C.S.1    Chen, W.L.2
  • 8
    • 0030082891 scopus 로고    scopus 로고
    • An approach to fuzzy control of nonlinear systems: Stability and design issues
    • PII S106367069600639X
    • H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 14-23, Feb. 1996. (Pubitemid 126782417)
    • (1996) IEEE Transactions on Fuzzy Systems , vol.4 , Issue.1 , pp. 14-23
    • Wang, H.O.1    Tanaka, K.2    Griffin, M.F.3
  • 9
    • 0027629920 scopus 로고
    • Analysis and design of fuzzy control system
    • Jan.
    • C. L. Chen, P. C. Chen, and C. K. Chen, "Analysis and design of fuzzy control system," Fuzzy Sets Syst., vol. 57, no. 2, pp. 125-140, Jan. 1993.
    • (1993) Fuzzy Sets Syst. , vol.57 , Issue.2 , pp. 125-140
    • Chen, C.L.1    Chen, P.C.2    Chen, C.K.3
  • 10
    • 0034295631 scopus 로고    scopus 로고
    • New approaches to relaxed quadratic stability condition of fuzzy control systems
    • Oct.
    • E. Kim and H. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 523-534, Oct. 2000.
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.5 , pp. 523-534
    • Kim, E.1    Lee, H.2
  • 11
    • 0041591135 scopus 로고    scopus 로고
    • New approaches to H8 controller designs based on fuzzy observers for Takagi-Sugeno fuzzy systems via LMI
    • Sep.
    • X. Liu and Q. Zhang, "New approaches to H8 controller designs based on fuzzy observers for Takagi-Sugeno fuzzy systems via LMI," Automatica, vol. 39, no. 9, pp. 1571-1582, Sep. 2003.
    • (2003) Automatica , vol.39 , Issue.9 , pp. 1571-1582
    • Liu, X.1    Zhang, Q.2
  • 12
    • 0346707450 scopus 로고    scopus 로고
    • Approaches to quadratic stability conditions and H8 control designs for Takagi-Sugeno fuzzy systems
    • Dec.
    • X. Liu and Q. Zhang, "Approaches to quadratic stability conditions and H8 control designs for Takagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 11, no. 6, pp. 830-839, Dec. 2003.
    • (2003) IEEE Trans. Fuzzy Syst. , vol.11 , Issue.6 , pp. 830-839
    • Liu, X.1    Zhang, Q.2
  • 13
    • 1642354214 scopus 로고    scopus 로고
    • LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
    • May
    • T. M. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form," Automatica, vol. 40, no. 5, pp. 823-829, May 2004.
    • (2004) Automatica , vol.40 , Issue.5 , pp. 823-829
    • Guerra, T.M.1    Vermeiren, L.2
  • 14
    • 0034245146 scopus 로고    scopus 로고
    • Fuzzy descriptor systems and nonlinear model following control
    • Aug.
    • T. Taniguchi, K. Tanaka, and H. O. Wang, "Fuzzy descriptor systems and nonlinear model following control," IEEE Trans. Fuzzy Syst., vol. 8, no. 4, pp. 442-452, Aug. 2000.
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.4 , pp. 442-452
    • Taniguchi, T.1    Tanaka, K.2    Wang, H.O.3
  • 15
    • 10744219783 scopus 로고    scopus 로고
    • On relaxed LMIbased designs for fuzzy regulators and fuzzy observers
    • Oct.
    • M. C. M. Teixeira, E. Assuncao, and R. G. Avellar, "On relaxed LMIbased designs for fuzzy regulators and fuzzy observers," IEEE Trans. Fuzzy Syst., vol. 11, no. 5, pp. 613-623, Oct. 2003.
    • (2003) IEEE Trans. Fuzzy Syst. , vol.11 , Issue.5 , pp. 613-623
    • Teixeira, M.M.C.1    Assuncao, E.2    Avellar, R.G.3
  • 16
    • 29144456616 scopus 로고    scopus 로고
    • Stability analysis of fuzzy control systems subject to uncertain grades of membership
    • DOI 10.1109/TSMCB.2005.850181
    • H. K. Lam and F. H. F. Leung, "Stability analysis of fuzzy control systems subject to uncertain grades of membership," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, no. 6, pp. 1322-1325, Dec. 2005. (Pubitemid 41800431)
    • (2005) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.35 , Issue.6 , pp. 1322-1325
    • Lam, H.K.1    Leung, F.H.F.2
  • 17
    • 33745126258 scopus 로고    scopus 로고
    • A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
    • DOI 10.1109/TFUZZ.2006.876331
    • C. H. Fang, Y. S. Liu, S. W. Kau, L. Hong, and C. H. Lee, "A new LMIbased approach to relaxed quadratic stabilization of Takagi-Sugeno fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 386-397, Jun. 2006. (Pubitemid 43898881)
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.3 , pp. 386-397
    • Fang, C.-H.1    Liu, Y.-S.2    Kau, S.-W.3    Hong, L.4    Lee, C.-H.5
  • 18
    • 34848893990 scopus 로고    scopus 로고
    • Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem
    • DOI 10.1016/j.fss.2007.06.016, PII S0165011407003284
    • A. Sala and C. Ariño, "Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem," Fuzzy Sets Syst., vol. 158, no. 24, pp. 2671-2686, Jul. 2007. (Pubitemid 47513206)
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.24 , pp. 2671-2686
    • Sala, A.1    Arino, C.2
  • 19
    • 0028436490 scopus 로고
    • A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer
    • May
    • K. Tanaka and M. Sano, "A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer," IEEE Trans. Fuzzy Syst., vol. 2, no. 2, pp. 119-134, May 1994.
    • (1994) IEEE Trans. Fuzzy Syst. , vol.2 , Issue.2 , pp. 119-134
    • Tanaka, K.1    Sano, M.2
  • 20
    • 67349095696 scopus 로고    scopus 로고
    • On the conservativeness of fuzzy and fuzzy-polynomial control of nonlinear systems
    • A. Sala, "On the conservativeness of fuzzy and fuzzy-polynomial control of nonlinear systems," Annu. Rev. Control, vol. 33, no. 1, pp. 48-58, 2009.
    • (2009) Annu. Rev. Control , vol.33 , Issue.1 , pp. 48-58
    • Sala, A.1
  • 21
    • 34247172576 scopus 로고    scopus 로고
    • Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap
    • DOI 10.1109/TSMCB.2006.887949
    • A. Sala and C. Ariño, "Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 3, pp. 727-732, Jun. 2007. (Pubitemid 46784606)
    • (2007) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.37 , Issue.3 , pp. 727-732
    • Sala, A.1    Arino, C.2
  • 22
    • 54349119609 scopus 로고    scopus 로고
    • Relaxed stability and performance LMI conditions for Takagi-Sugeno fuzzy systems with polynomial constraints on membership function shapes
    • Oct.
    • A. Sala and C. Ariño, "Relaxed stability and performance LMI conditions for Takagi-Sugeno fuzzy systems with polynomial constraints on membership function shapes," IEEE Trans. Fuzzy Syst., vol. 16, no. 5, pp. 1328-1336, Oct. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.5 , pp. 1328-1336
    • Sala, A.1    Ariño, C.2
  • 23
    • 41649087158 scopus 로고    scopus 로고
    • Extensions to "Stability analysis of fuzzy control systems subject to uncertain grades of membership"
    • DOI 10.1109/TSMCB.2007.913596
    • C. Ariño and A. Sala, "Extensions to 'stability analysis of fuzzy control systems subject to uncertain grades of membership'," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 2, pp. 558-563, Apr. 2008. (Pubitemid 351479575)
    • (2008) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.38 , Issue.2 , pp. 558-563
    • Arino, C.1    Sala, A.2
  • 24
    • 68849112141 scopus 로고    scopus 로고
    • Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching
    • Aug.
    • H. K. Lam and M. Narimani, "Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 949-961, Aug. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.4 , pp. 949-961
    • Lam, H.K.1    Narimani, M.2
  • 25
    • 70350070864 scopus 로고    scopus 로고
    • Relaxed LMI-based stability conditions for Takagi-Sugeno fuzzy control systems using regional-membershipfunction-shape-dependent analysis approach
    • Oct.
    • M. Narimani and H. K. Lam, "Relaxed LMI-based stability conditions for Takagi-Sugeno fuzzy control systems using regional-membershipfunction-shape- dependent analysis approach," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1221-1228, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 1221-1228
    • Narimani, M.1    Lam, H.K.2
  • 26
    • 68149169800 scopus 로고    scopus 로고
    • A membership-functiondependent approach for stability analysis and controller synthesis of Takagi-Sugeno models
    • M. Bernal, T. M. Guerra, and A. Kruszewski, "A membership- functiondependent approach for stability analysis and controller synthesis of Takagi-Sugeno models," Fuzzy Sets Syst., vol. 160, no. 19, pp. 2776-2795, 2009.
    • (2009) Fuzzy Sets Syst. , vol.160 , Issue.19 , pp. 2776-2795
    • Bernal, M.1    Guerra, T.M.2    Kruszewski, A.3
  • 27
    • 72649103386 scopus 로고    scopus 로고
    • Polynomial fuzzy models for nonlinear control: A Taylor series approach
    • Dec.
    • A. Sala and C. Ariño, "Polynomial fuzzy models for nonlinear control: A Taylor series approach," IEEE Trans. Fuzzy Syst., vol. 17, no. 6, pp. 1284-1295, Dec. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.6 , pp. 1284-1295
    • Sala, A.1    Ariño, C.2
  • 28
    • 67349151435 scopus 로고    scopus 로고
    • A triangulation approach to asymptotically exact conditions for fuzzy summations
    • Oct.
    • A. Kruszewski, A. Sala, T. Guerra, and C. Arino, "A triangulation approach to asymptotically exact conditions for fuzzy summations," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 985-994, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 985-994
    • Kruszewski, A.1    Sala, A.2    Guerra, T.3    Arino, C.4
  • 29
    • 76849105192 scopus 로고    scopus 로고
    • Quadratic stability analysis of fuzzymodel-based control systems using staircase membership functions
    • Feb.
    • H. K. Lam and M. Narimani, "Quadratic stability analysis of fuzzymodel-based control systems using staircase membership functions," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 125-137, Feb. 2010.
    • (2010) IEEE Trans. Fuzzy Syst. , vol.18 , Issue.1 , pp. 125-137
    • Lam, H.K.1    Narimani, M.2
  • 31
    • 34248152046 scopus 로고    scopus 로고
    • Type-2 fuzzy sets and systems: An overview
    • May
    • J. M. Mendel, "Type-2 fuzzy sets and systems: An overview," IEEE Comput. Intell. Mag., vol. 2, no. 2, pp. 20-29, May 2007.
    • (2007) IEEE Comput. Intell. Mag. , vol.2 , Issue.2 , pp. 20-29
    • Mendel, J.M.1
  • 32
    • 0035897739 scopus 로고    scopus 로고
    • Analysis and design of fuzzy reduced-dimensional observer and fuzzy functional observer
    • DOI 10.1016/S0165-0114(99)00145-1, PII S0165011499001451
    • X. Ma and Z. Sun, "Analysis and design of fuzzy reduced-dimensional observer and fuzzy functional observer," Fuzzy Sets Syst., vol. 120, no. 1, pp. 35-63, May 2001. (Pubitemid 32284761)
    • (2001) Fuzzy Sets and Systems , vol.120 , Issue.1 , pp. 35-63
    • Ma, X.-J.1    Sun, Z.-Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.