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Volumn 18, Issue 4, 2010, Pages 815-822

Generalized nonquadratic stability of continuous-time Takagi-Sugeno models

Author keywords

Linear matrix inequalities (LMIs); local asymptotic stability; stability domain; Takagi Sugeno (TS) models

Indexed keywords

CONTINUOUS TIME; CONVEX OPTIMIZATION TECHNIQUES; ILLUSTRATIVE EXAMPLES; LOCAL ASYMPTOTIC; LOCAL ASYMPTOTIC STABILITY; NON-LINEAR MODEL; NON-LINEARITY; QUADRATIC STABILITY; STABILITY ANALYSIS; STABILITY CONDITION; STABILITY DOMAINS; TAKAGI-SUGENO; TAKAGI-SUGENO MODELS;

EID: 77955504843     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2049113     Document Type: Article
Times cited : (162)

References (23)
  • 1
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its application to modeling and control
    • Jan.
    • T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling 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
    • 0035415965 scopus 로고    scopus 로고
    • Model construction, rule reduction and robust compensation for generalized form ofTakagi-Sugeno fuzzy systems
    • Aug.
    • T. Taniguchi, K. Tanaka, and H. O. Wang, "Model construction, rule reduction and robust compensation for generalized form ofTakagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol.9, no.4, pp. 525-537, Aug. 2001.
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , Issue.4 , pp. 525-537
    • Taniguchi, T.1    Tanaka, K.2    Wang, H.O.3
  • 4
    • 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. 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
  • 6
    • 26944497186 scopus 로고    scopus 로고
    • Perspectives of fuzzy systems and control
    • A. Sala, T. M. Guerra, and R. Babuska, "Perspectives of fuzzy systems and control," Fuzzy Sets Syst., vol.156, pp. 432-444, 2005.
    • (2005) Fuzzy Sets Syst. , vol.156 , pp. 432-444
    • Sala, A.1    Guerra, T.M.2    Babuska, R.3
  • 7
    • 0033280927 scopus 로고    scopus 로고
    • Piecewise quadratic stability of fuzzy systems
    • Dec.
    • M. Johansson, A. Rantzer, and K. Arzen, "Piecewise quadratic stability of fuzzy systems," IEEE Trans. Fuzzy Syst., vol.7, no.6, pp. 713-722, Dec. 1999.
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , Issue.6 , pp. 713-722
    • Johansson, M.1    Rantzer, A.2    Arzen, K.3
  • 8
    • 1542363552 scopus 로고    scopus 로고
    • Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
    • Feb.
    • G. Feng, "Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions," IEEE Trans. Fuzzy Syst., vol.12, no.1, pp. 22-28, Feb. 2004.
    • (2004) IEEE Trans. Fuzzy Syst. , vol.12 , Issue.1 , pp. 22-28
    • Feng, G.1
  • 9
    • 71249161595 scopus 로고    scopus 로고
    • Stability and stabilization of nonlinear systems and Tanaka-Sugeno fuzzy models
    • presented at , Lisbon, Portugal
    • Y. Blanco, W. Perruquetti, and P. Borne, "Stability and stabilization of nonlinear systems and Tanaka-Sugeno fuzzy models," presented at the Eur. Control Conf., Lisbon, Portugal, 2001.
    • (2001) The Eur. Control Conf.
    • Blanco, Y.1    Perruquetti, W.2    Borne, P.3
  • 10
    • 0034842151 scopus 로고    scopus 로고
    • A fuzzy Lyapunov approach to fuzzy control systems design
    • Arlington, VA
    • K. Tanaka, T. Hori, and H. O. Wang, "A fuzzy Lyapunov approach to fuzzy control systems design," in Proc. Amer. Control Conf., Arlington, VA, 2001, pp. 4790-4795.
    • (2001) Proc. Amer. Control Conf. , pp. 4790-4795
    • Tanaka, K.1    Hori, T.2    Wang, H.O.3
  • 11
    • 0042378953 scopus 로고    scopus 로고
    • A multiple Lyapunov function approach to stabilization of fuzzy control systems
    • Aug.
    • K. Tanaka, T. Hori, and H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems," IEEE Trans. Fuzzy Syst., vol.11, no.4, pp. 582-589, Aug. 2003.
    • (2003) IEEE Trans. Fuzzy Syst. , vol.11 , Issue.4 , pp. 582-589
    • Tanaka, K.1    Hori, T.2    Wang, H.O.3
  • 12
    • 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
  • 13
    • 1642354214 scopus 로고    scopus 로고
    • LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in Takagi-Sugeno's form
    • T. M. Guerra and L. Vermeiren, "LMI-based relaxed non-quadratic stabilization conditions for nonlinear systems in Takagi-Sugeno's form," Automatica, vol.40, no.5, pp. 823-829, 2004.
    • (2004) Automatica , vol.40 , Issue.5 , pp. 823-829
    • Guerra, T.M.1    Vermeiren, L.2
  • 14
    • 31144478578 scopus 로고    scopus 로고
    • Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form
    • B. C. Ding, H. X. Sun, and P. Yang, "Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form," Automatica, vol.42, pp. 503-508, 2006.
    • (2006) Automatica , vol.42 , pp. 503-508
    • Ding, B.C.1    Sun, H.X.2    Yang, P.3
  • 15
    • 67149089241 scopus 로고    scopus 로고
    • Control law proposition for the stabilization of discrete Takagi-Sugeno models
    • Jun.
    • T. M. Guerra, A. Kruszewski, andM. Bernal, "Control law proposition for the stabilization of discrete Takagi-Sugeno models," IEEE Trans. Fuzzy Syst., vol.17, no.3, pp. 724-731, Jun. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.3 , pp. 724-731
    • Guerra, T.M.1    Kruszewski, A.2    Bernal, M.3
  • 16
    • 34848893990 scopus 로고    scopus 로고
    • Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem
    • 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, 2007.
    • (2007) Fuzzy Sets Syst. , vol.158 , Issue.24 , pp. 2671-2686
    • Sala, A.1    Ariño, C.2
  • 17
    • 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
  • 18
    • 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
  • 19
    • 0035302796 scopus 로고    scopus 로고
    • Parameterized linear matrix inequality techniques in fuzzy control system design
    • Apr.
    • H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design," IEEE Trans. Fuzzy Syst., vol.9, no.2, pp. 324-332, Apr. 2001.
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , Issue.2 , pp. 324-332
    • Tuan, H.D.1    Apkarian, P.2    Narikiyo, T.3    Yamamoto, Y.4
  • 20
    • 16244419436 scopus 로고    scopus 로고
    • Polynomially parameterdependent Lyapunov functions for robust stability of polytopic systems: An LMI approach
    • Mar.
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Polynomially parameterdependent Lyapunov functions for robust stability of polytopic systems: an LMI approach," IEEE Trans. Autom. Control, vol.50, no.3, pp. 365-370, Mar. 2005.
    • (2005) IEEE Trans. Autom. Control , vol.50 , Issue.3 , pp. 365-370
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 21
    • 33845934993 scopus 로고    scopus 로고
    • Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions
    • DOI 10.1016/j.automatica.2006.08.024, PII S0005109806003840
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Robust stability of timevarying polytopic systems via parameter-dependent homogeneous Lyapunov functions," Automatica, vol.43, pp. 309-316, 2007. (Pubitemid 46037598)
    • (2007) Automatica , vol.43 , Issue.2 , pp. 309-316
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 22
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs, NJ: Prentice- Hall
    • H. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice- Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.1
  • 23
    • 71249146952 scopus 로고    scopus 로고
    • A way to escape from the quadratic framework
    • presented at , Jeju, Korea
    • T. M. Guerra and M. Bernal, "A way to escape from the quadratic framework," presented at the Fuzz-IEEE Conf., Jeju, Korea, 2009.
    • (2009) The Fuzz-IEEE Conf.
    • Guerra, T.M.1    Bernal, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.