메뉴 건너뛰기




Volumn 17, Issue 5, 2009, Pages 1221-1228

Relaxed LMI-based stability conditions for takagi-sugeno fuzzy control systems using regional-membership-function-shape-dependent analysis approach

Author keywords

Fuzzy control; Linear matrix inequality (LMI); Membership function shape dependent (MFSD) stability condition; Relaxed quadratic stability

Indexed keywords

ANALYSIS APPROACH; BOUNDARY INFORMATION; INEQUALITY CONSTRAINT; LINEAR MATRIX INEQUALITY (LMI); LOWER AND UPPER BOUNDS; MEMBERSHIP-FUNCTION-SHAPE-DEPENDENT (MFSD) STABILITY CONDITION; MODEL-BASED CONTROL SYSTEMS; NUMERICAL EXAMPLE; OPERATING REGIONS; REGIONAL INFORMATION; RELAXED LMI; RELAXED QUADRATIC STABILITY; STABILITY ANALYSIS; STABILITY CONDITION; TAKAGI-SUGENO; TAKAGI-SUGENO FUZZY CONTROL SYSTEMS;

EID: 70350070864     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2009.2025959     Document Type: Article
Times cited : (96)

References (24)
  • 1
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modelling and control
    • Jan
    • 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, Jan. 1985.
    • (1985) IEEE Trans. Syst., Man., Cybern , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 2
    • 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
  • 3
    • 33750268081 scopus 로고    scopus 로고
    • A survey on analysis and design of model-based fuzzy control systems
    • Oct
    • 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.
    • (2006) IEEE Trans. Fuzzy Syst , vol.14 , Issue.5 , pp. 676-697
    • Feng, G.1
  • 4
    • 0030082891 scopus 로고    scopus 로고
    • An approach to fuzzy control of nonlinear systems: Stability and design issues
    • Feb
    • 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.
    • (1996) IEEE Trans. Fuzzy Syst , vol.4 , Issue.1 , pp. 14-23
    • Wang, H.O.1    Tanaka, K.2    Griffin, M.F.3
  • 5
    • 0004178386 scopus 로고    scopus 로고
    • Upper Saddle River, NJ: Prentice-Hall
    • H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice-Hall, 1996.
    • (1996) Nonlinear Systems
    • Khalil, H.K.1
  • 6
    • 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
  • 8
    • 0032070670 scopus 로고    scopus 로고
    • Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs
    • May
    • K. Tanaka, T. Ikeda, and H. O. Wang, "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 250-265, May 1998.
    • (1998) IEEE Trans. Fuzzy Syst , vol.6 , Issue.2 , pp. 250-265
    • Tanaka, K.1    Ikeda, T.2    Wang, H.O.3
  • 9
    • 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
  • 10
    • 0041591135 scopus 로고    scopus 로고
    • ∞ controller designs based on fuzzy observers for Takagi-Sugeno fuzzy systems via LMI
    • Sep
    • ∞ 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
  • 11
    • 0346707450 scopus 로고    scopus 로고
    • ∞ control designs for Takagi-Sugeno fuzzy systems
    • Dec
    • ∞ 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
  • 12
    • 10744219783 scopus 로고    scopus 로고
    • On relaxed LMI-based designs for fuzzy regulators and fuzzy observers
    • Oct
    • M. C. M. Teixeira, E. Assuncao, and R. G. Avellar, "On relaxed LMI-based 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.C.M.1    Assuncao, E.2    Avellar, R.G.3
  • 13
    • 33745126258 scopus 로고    scopus 로고
    • A new LMI-based approach to relaxed quadratic stabilization of Takagi-Sugeno fuzzy control systems
    • Jun
    • C. H. Fang, Y. S. Liu, S. W. Kau, L. Hong, and C. H. Lee, "A new LMI-based approach to relaxed quadratic stabilization of Takagi-Sugeno fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 3, pp. 386-397, Jun. 2006.
    • (2006) IEEE Trans. Fuzzy Syst , 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
  • 14
    • 34848893990 scopus 로고    scopus 로고
    • Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem
    • Jul
    • A. Sala and C. Ariñno, "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.
    • (2007) Fuzzy Sets Syst , vol.158 , Issue.24 , pp. 2671-2686
    • Sala, A.1    Ariñno, C.2
  • 15
    • 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
  • 16
    • 17744361919 scopus 로고    scopus 로고
    • Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach
    • Apr
    • S.-S. Chen, Y.-C. Chang, S.-F. Su, S.-L. Chung, and T.-T. Lee, "Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach," IEEE Trans. Fuzzy Syst. vol. 13, no. 2, pp. 263-272, Apr. 2005.
    • (2005) IEEE Trans. Fuzzy Syst , vol.13 , Issue.2 , pp. 263-272
    • Chen, S.-S.1    Chang, Y.-C.2    Su, S.-F.3    Chung, S.-L.4    Lee, T.-T.5
  • 17
    • 29144456616 scopus 로고    scopus 로고
    • Stability analysis of fuzzy control systems subject to uncertain grades of membership
    • Dec
    • 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.
    • (2005) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.35 , Issue.6 , pp. 1322-1325
    • Lam, H.K.1    Leung, F.H.F.2
  • 18
    • 41649087158 scopus 로고    scopus 로고
    • Extensions to stability analysis of fuzzy control systems subject to uncertain grades of membership
    • Apr
    • 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.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.38 , Issue.2 , pp. 558-563
    • Ariño, C.1    Sala, A.2
  • 19
    • 68849112141 scopus 로고    scopus 로고
    • Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching
    • online, Available
    • H. K. Lam and M. Narimani. (2009). Stability analysis and performance design for fuzzy-model-based control system under imperfect premise matching. IEEE Trans. Fuzzy Syst. [online]. Available: http:// ieeexplore.ieee.org
    • (2009) IEEE Trans. Fuzzy Syst
    • Lam, H.K.1    Narimani, M.2
  • 20
    • 34247172576 scopus 로고    scopus 로고
    • Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap
    • Jun
    • 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.
    • (2007) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.37 , Issue.3 , pp. 727-732
    • Sala, A.1    Ariño, C.2
  • 21
    • 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
  • 24
    • 0035897739 scopus 로고    scopus 로고
    • Analysis and design of fuzzy reduced-dimensional observer and fuzzy functional observer
    • 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, 2001.
    • (2001) Fuzzy Sets Syst , vol.120 , Issue.1 , pp. 35-63
    • Ma, X.1    Sun, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.