메뉴 건너뛰기




Volumn 36, Issue 3, 2006, Pages 685-698

Stability analysis and H∞ controller design of fuzzy large-scale systems based on piecewise Lyapunov functions

Author keywords

Fuzzy large scale system; H control; Linear matrix inequalities (LMIs); Piecewise Lyapunov functions; Stability; Takagi Sugeno (T S) model

Indexed keywords

FUZZY SETS; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; PIECEWISE LINEAR TECHNIQUES; SYSTEM STABILITY;

EID: 33744505668     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2005.860133     Document Type: Article
Times cited : (119)

References (34)
  • 2
    • 0023572508 scopus 로고
    • "General decentralized stabilization of large-scale linear continuous and discrete time-delay systems"
    • T. N. Lee and U. L. Radovic, "General decentralized stabilization of large-scale linear continuous and discrete time-delay systems," Int. J. Control, vol. 46, no. 6, pp. 2127-2140, 1987.
    • (1987) Int. J. Control , vol.46 , Issue.6 , pp. 2127-2140
    • Lee, T.N.1    Radovic, U.L.2
  • 3
    • 0028342036 scopus 로고
    • "Decentralized stabilization of large-scale interconnection systems with delays"
    • Jan
    • Z. Hu, "Decentralized stabilization of large-scale interconnection systems with delays," IEEE Trans. Autom. Control, vol. 39, no. 1, pp. 180-182, Jan. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.1 , pp. 180-182
    • Hu, Z.1
  • 4
    • 0031235172 scopus 로고    scopus 로고
    • "Stabilization and estimation for perturbed discrete time-delay large-scale systems"
    • Sep
    • W. J. Wang and L. G. Mau, "Stabilization and estimation for perturbed discrete time-delay large-scale systems," IEEE Trans. Autom. Control, vol. 42, no. 9, pp. 1277-1282, Sep. 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.9 , pp. 1277-1282
    • Wang, W.J.1    Mau, L.G.2
  • 5
    • 0030134902 scopus 로고    scopus 로고
    • "Robust stability for perturbed large-scale time-delay systems"
    • May
    • J. C. Tsay, P. L. Liu, and T. J. Su, "Robust stability for perturbed large-scale time-delay systems," Proc. Inst. Elect. Eng., Control Theory Appl., vol. 143, no. 3, pp. 233-236, May 1996.
    • (1996) Proc. Inst. Elect. Eng., Control Theory Appl. , vol.143 , Issue.3 , pp. 233-236
    • Tsay, J.C.1    Liu, P.L.2    Su, T.J.3
  • 6
    • 0021892282 scopus 로고
    • "Fuzzy identification of systems and its application to modeling and control"
    • Jan./Feb
    • 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./Feb. 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern. , vol.SMC-15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 7
    • 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
  • 8
    • 0027608046 scopus 로고
    • "Fuzzy stability criterion of a class of nonlinear systems"
    • Jun
    • K. Tanaka and M. Sano, "Fuzzy stability criterion of a class of nonlinear systems," Inf. Sci., vol. 71, no. 1/2, pp. 3-26, Jun. 1993.
    • (1993) Inf. Sci. , vol.71 , Issue.1-2 , pp. 3-26
    • Tanaka, K.1    Sano, M.2
  • 9
    • 0028436490 scopus 로고
    • "A robust stabilization problem of fuzzy control systems its application to backing up control of a truck-trailer"
    • May
    • K. Tanaka and M. Sano, "A robust stabilization problem of fuzzy control systems 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
  • 10
    • 0029403607 scopus 로고
    • "Stabilization and stability of fuzzy-neural-linear control systems"
    • Nov
    • K. Tanaka, "Stabilization and stability of fuzzy-neural-linear control systems," IEEE Trans. Fuzzy Syst., vol. 3, no. 4, pp. 438-447, Nov. 1995.
    • (1995) IEEE Trans. Fuzzy Syst. , vol.3 , Issue.4 , pp. 438-447
    • Tanaka, K.1
  • 11
    • 0030214487 scopus 로고    scopus 로고
    • "Stability analysis and design for a class of continuous-time fuzzy control systems"
    • Aug
    • S. G. Cao, N. W. Rees, and G. Feng, "Stability analysis and design for a class of continuous-time fuzzy control systems," Int. J. Control, vol. 64, no. 6, pp. 1069-1087, Aug. 1996.
    • (1996) Int. J. Control , vol.64 , Issue.6 , pp. 1069-1087
    • Cao, S.G.1    Rees, N.W.2    Feng, G.3
  • 12
    • 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. 523-524, Oct. 2000.
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.5 , pp. 523-524
    • Kim, E.1    Lee, H.2
  • 13
    • 0034482278 scopus 로고    scopus 로고
    • "Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems"
    • Dec
    • M. Akar and U. Ozguner, "Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 691-704, Dec. 2000.
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.6 , pp. 691-704
    • Akar, M.1    Ozguner, U.2
  • 14
    • 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
  • 15
    • 0032140077 scopus 로고    scopus 로고
    • "Input/output stability theory for direct neurofuzzy controllers"
    • Aug
    • M. French and E. Rogers, "Input/output stability theory for direct neurofuzzy controllers," IEEE Trans. Fuzzy Syst., vol. 6, no. 3, pp. 331-345, Aug. 1998.
    • (1998) IEEE Trans. Fuzzy Syst. , vol.6 , Issue.3 , pp. 331-345
    • French, M.1    Rogers, E.2
  • 16
    • 0032139333 scopus 로고    scopus 로고
    • "Some remarks on the stability of Mamdani fuzzy control systems"
    • Aug
    • G. Calcev, "Some remarks on the stability of Mamdani fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 6, no. 3, pp. 436-442, Aug. 1998.
    • (1998) IEEE Trans. Fuzzy Syst. , vol.6 , Issue.3 , pp. 436-442
    • Calcev, G.1
  • 17
    • 0035309899 scopus 로고    scopus 로고
    • "Piecewise Lyapunov stability conditions of fuzzy systems"
    • Apr
    • M. Feng and C. J. Harris, "Piecewise Lyapunov stability conditions of fuzzy systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 31, no. 2, pp. 259-262, Apr. 2001.
    • (2001) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.31 , Issue.2 , pp. 259-262
    • Feng, M.1    Harris, C.J.2
  • 18
    • 0035248625 scopus 로고    scopus 로고
    • "Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: Discrete case"
    • Feb
    • E. Kim and D. Kim, "Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: Discrete case," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 31, no. 1, pp. 132-140, Feb. 2001.
    • (2001) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.31 , Issue.1 , pp. 132-140
    • Kim, E.1    Kim, D.2
  • 19
    • 0036602408 scopus 로고    scopus 로고
    • "Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: Continuous case"
    • Jun
    • E. Kim and S. Kim, "Stability analysis and synthesis for an affine fuzzy systems via LMI and ILMI: Continuous case," IEEE Trans. Fuzzy Syst., vol. 10, no. 3, pp. 391-400, Jun. 2002.
    • (2002) IEEE Trans. Fuzzy Syst. , vol.10 , Issue.3 , pp. 391-400
    • Kim, E.1    Kim, S.2
  • 20
    • 0035363971 scopus 로고    scopus 로고
    • "Approaches to quadratic stabilization of uncertain fuzzy dynamic systems"
    • Jun
    • G. Feng, "Approaches to quadratic stabilization of uncertain fuzzy dynamic systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 6, pp. 760-769, Jun. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.6 , pp. 760-769
    • Feng, G.1
  • 21
    • 0035508086 scopus 로고    scopus 로고
    • "Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems"
    • Nov
    • G. Feng and J. Ma, "Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1337-1344, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.11 , pp. 1337-1344
    • Feng, G.1    Ma, J.2
  • 22
    • 0036465936 scopus 로고    scopus 로고
    • "Stability analysis of fuzzy large-scale systems"
    • Feb
    • F. H. Hsiao and J. D. Hwang, "Stability analysis of fuzzy large-scale systems," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 32, no. 1, pp. 122-126, Feb. 2002.
    • (2002) IEEE Trans. Syst., Man Cybern. B, Cybern. , vol.32 , Issue.1 , pp. 122-126
    • Hsiao, F.H.1    Hwang, J.D.2
  • 23
    • 3042648797 scopus 로고    scopus 로고
    • "Stability and stabilization of fuzzy large-scale systems fuzzy systems"
    • Jun
    • W. Wang and L. Luoh, "Stability and stabilization of fuzzy large-scale systems fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 12, no. 3, pp. 309-315, Jun. 2004.
    • (2004) IEEE Trans. Fuzzy Syst. , vol.12 , Issue.3 , pp. 309-315
    • Wang, W.1    Luoh, L.2
  • 24
    • 4344581660 scopus 로고    scopus 로고
    • "Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays"
    • Jul
    • C. Li, H. Wang, and X. Liao, "Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays," Proc. Inst. Elect. Eng., Control Theory Appl., vol. 151, no. 4, pp. 417-421, Jul. 2004.
    • (2004) Proc. Inst. Elect. Eng., Control Theory Appl. , vol.151 , Issue.4 , pp. 417-421
    • Li, C.1    Wang, H.2    Liao, X.3
  • 25
    • 11144295705 scopus 로고    scopus 로고
    • "Stability analysis of fuzzy large-scale systems with time delays in interconnections"
    • Dec
    • C. Li, X. Liao, and H. Wang, "Stability analysis of fuzzy large-scale systems with time delays in interconnections," Int. J. Gen. Syst., vol. 33, no. 6, pp. 621-633, Dec. 2004.
    • (2004) Int. J. Gen. Syst. , vol.33 , Issue.6 , pp. 621-633
    • Li, C.1    Liao, X.2    Wang, H.3
  • 26
    • 11244356649 scopus 로고    scopus 로고
    • "LMI-based approach for stability analysis of fuzzy large-scale system with time delays"
    • Chengdu, China
    • H. Zhang, X. Liao, X. Li, and J. Yu, "LMI-based approach for stability analysis of fuzzy large-scale system with time delays," in Int. Conf. Communications, Circuits and Systems, Chengdu, China, 2004, pp. 1401-1405.
    • (2004) Int. Conf. Communications, Circuits and Systems , pp. 1401-1405
    • Zhang, H.1    Liao, X.2    Li, X.3    Yu, J.4
  • 27
    • 0033280927 scopus 로고    scopus 로고
    • "Piecewise quadratic stability of fuzzy system"
    • Dec
    • M. Johansson, A. Rantzer, and K. Arzen, "Piecewise quadratic stability of fuzzy system," 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
  • 28
    • 0031987426 scopus 로고    scopus 로고
    • "Off-equilibrium linearization and design of gain scheduled control with application to vehicle speed control"
    • Feb
    • T. A. Johansen, K. J. Hunt, P. J. Gawthorp, and H. Fritz, "Off-equilibrium linearization and design of gain scheduled control with application to vehicle speed control," Control Eng. Pract., vol. 6, no. 2, pp. 167-180, Feb. 1998.
    • (1998) Control Eng. Pract. , vol.6 , Issue.2 , pp. 167-180
    • Johansen, T.A.1    Hunt, K.J.2    Gawthorp, P.J.3    Fritz, H.4
  • 29
    • 0030290256 scopus 로고    scopus 로고
    • "Comparison of intelligent control schemes for real-time pressure control"
    • R. Babuska, H. A. B. te Braake, A. J. Krijgsman, and H. B. Verbruggen, "Comparison of intelligent control schemes for real-time pressure control," Control Eng. Pract., vol. 4, no. 11, pp. 1585-1592, 1996.
    • (1996) Control Eng. Pract. , vol.4 , Issue.11 , pp. 1585-1592
    • Babuska, R.1    te Braake, H.A.B.2    Krijgsman, A.J.3    Verbruggen, H.B.4
  • 30
    • 0030381103 scopus 로고    scopus 로고
    • "On the approximation capabilities of the homogeneous Takagi-Sugeno model"
    • New Orleans, LA
    • C. Fantuzzi and R. Rovatti, "On the approximation capabilities of the homogeneous Takagi-Sugeno model," in Proc. 5th IEEE Int. Conf. Fuzzy Systems, New Orleans, LA, 1996, pp. 1067-1072.
    • (1996) Proc. 5th IEEE Int. Conf. Fuzzy Systems , pp. 1067-1072
    • Fantuzzi, C.1    Rovatti, R.2
  • 31
    • 0031163944 scopus 로고    scopus 로고
    • "Analysis and design for a class of complex control systems - Part I: Fuzzy modeling and identification"
    • Jun
    • S. G. Cao, N. W. Ree, and G. Feng, "Analysis and design for a class of complex control systems - Part I: Fuzzy modeling and identification," Automatica, vol. 33, no. 6, pp. 1017-1028, Jun. 1997.
    • (1997) Automatica , vol.33 , Issue.6 , pp. 1017-1028
    • Cao, S.G.1    Ree, N.W.2    Feng, G.3
  • 32
    • 0142196087 scopus 로고    scopus 로고
    • "Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions"
    • Oct
    • G. Feng, "Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions," IEEE Trans. Fuzzy Syst., vol. 11, no. 5, pp. 605-612, Oct. 2003.
    • (2003) IEEE Trans. Fuzzy Syst. , vol.11 , Issue.5 , pp. 605-612
    • Feng, G.1
  • 33
    • 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
  • 34
    • 0742290027 scopus 로고    scopus 로고
    • ∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions"
    • Feb
    • ∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions," IEEE Trans. Syst., Man Cybern. B, Cybern., vol. 34, no. 1, pp. 283-292, Feb. 2004.
    • (2004) IEEE Trans. Syst., Man Cybern. B, Cybern. , vol.34 , Issue.1 , pp. 283-292
    • Feng, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.