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Volumn 143, Issue 2, 2004, Pages 189-209

Robust H∞ nonlinear modeling and control via uncertain fuzzy systems

Author keywords

Algebraic Riccati equation; Linear matrix inequalities (LMI); Norm bounded uncertainty; Quadratic stabilization; Takagi Sugeno fuzzy model

Indexed keywords

CONSTRAINT THEORY; FEEDBACK; FUZZY SETS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 1642321282     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(03)00023-X     Document Type: Article
Times cited : (48)

References (40)
  • 2
    • 0034244958 scopus 로고    scopus 로고
    • ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems
    • ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems IEEE Trans. Fuzzy Systems. 8(4):2000;406-415.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.4 , pp. 406-415
    • Cao, Y.-Y.1    Frank, P.2
  • 3
    • 0030244726 scopus 로고    scopus 로고
    • ∞ control of nonlinear continuous-time systems based on dynamical fuzzy models
    • ∞ control of nonlinear continuous-time systems based on dynamical fuzzy models Internat. J. Systems Sci. 27(9):1996;821-830.
    • (1996) Internat. J. Systems Sci. , vol.27 , Issue.9 , pp. 821-830
    • Cao, S.1    Rees, N.2    Feng, G.3
  • 4
    • 0031163944 scopus 로고    scopus 로고
    • Analysis and design for a class of complex control systems part I: Fuzzy modelling and identification
    • Cao S., Rees N., Feng G. Analysis and design for a class of complex control systems part I. fuzzy modelling and identification Automatica. 33(6):1997;1017-1028.
    • (1997) Automatica , vol.33 , Issue.6 , pp. 1017-1028
    • Cao, S.1    Rees, N.2    Feng, G.3
  • 5
    • 0031170443 scopus 로고    scopus 로고
    • Analysis and design for a class of complex control systems part II: Fuzzy controller design
    • Cao S., Rees N., Feng G. Analysis and design for a class of complex control systems part II. fuzzy controller design Automatica. 13(6):1997;1029-1039.
    • (1997) Automatica , vol.13 , Issue.6 , pp. 1029-1039
    • Cao, S.1    Rees, N.2    Feng, G.3
  • 6
    • 0034299744 scopus 로고    scopus 로고
    • ∞ control of uncertain fuzzy continuous-time systems
    • ∞ control of uncertain fuzzy continuous-time systems Fuzzy Sets and Systems. 115:2000;171-190.
    • (2000) Fuzzy Sets and Systems , vol.115 , pp. 171-190
    • Cao, S.1    Rees, N.2    Feng, G.3
  • 7
    • 0027629920 scopus 로고
    • Analysis and design of fuzzy control system
    • Chen C., Chen P., Chen C. Analysis and design of fuzzy control system. Fuzzy Sets and Systems. 57:1993;125-140.
    • (1993) Fuzzy Sets and Systems , vol.57 , pp. 125-140
    • Chen, C.1    Chen, P.2    Chen, C.3
  • 8
    • 0033205006 scopus 로고    scopus 로고
    • Robustness design of nonlinear dynamic systems via fuzzy control
    • Chen B., Tseng C., Uang H. Robustness design of nonlinear dynamic systems via fuzzy control. IEEE Trans. Fuzzy Systems. 7(5):1999;571-585.
    • (1999) IEEE Trans. Fuzzy Systems , vol.7 , Issue.5 , pp. 571-585
    • Chen, B.1    Tseng, C.2    Uang, H.3
  • 9
    • 0034204782 scopus 로고    scopus 로고
    • ∞ fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach
    • ∞ fuzzy output feedback control design for nonlinear dynamic systems an LMI approach IEEE Trans. Fuzzy Systems. 8(3):2000;249-265.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.3 , pp. 249-265
    • Chen, B.1    Tseng, C.2    Uang, H.3
  • 10
    • 0035363971 scopus 로고    scopus 로고
    • Approach to quadratic stabilization of uncertain fuzzy dynamic system
    • Feng G. Approach to quadratic stabilization of uncertain fuzzy dynamic system. IEEE Trans. Circuits Systems-I: Fund. Theory Appl. 48:2001;760-769.
    • (2001) IEEE Trans. Circuits Systems-I: Fund. Theory Appl. , vol.48 , pp. 760-769
    • Feng, G.1
  • 12
    • 0035508086 scopus 로고    scopus 로고
    • Quadratic stabilization of uncertain discrete-time fuzzy dynamic system
    • Feng G., Ma J. Quadratic stabilization of uncertain discrete-time fuzzy dynamic system. IEEE Trans. Circuits Systems-I: Fund. Theory Appl. 48:2001;1137-1344.
    • (2001) IEEE Trans. Circuits Systems-I: Fund. Theory Appl. , vol.48 , pp. 1137-1344
    • Feng, G.1    Ma, J.2
  • 13
    • 0031623141 scopus 로고    scopus 로고
    • ∞ controller design of fuzzy dynamic systems using LMI techniques
    • Anchorage, AK
    • ∞ controller design of fuzzy dynamic systems using LMI techniques, in: Proc. IEEE World Congr. on Computational Intelligence, vol. 1, Anchorage, AK, 1998, pp. 538-544.
    • (1998) Proc. IEEE World Congr. on Computational Intelligence , vol.1 , pp. 538-544
    • Han, Z.1    Feng, G.2
  • 15
    • 0032138822 scopus 로고    scopus 로고
    • On the stability issues of linear Takagi-Sugeno fuzzy Model
    • Joh J., Chen Y., Langari R. On the stability issues of linear Takagi-Sugeno fuzzy Model. IEEE Trans. Fuzzy Systems. 6(3):1998;402-410.
    • (1998) IEEE Trans. Fuzzy Systems , vol.6 , Issue.3 , pp. 402-410
    • Joh, J.1    Chen, Y.2    Langari, R.3
  • 16
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • Johansson M., Rantzer A. Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Trans. Automat. Control. 43(4):1998;555-559.
    • (1998) IEEE Trans. Automat. Control , vol.43 , Issue.4 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 20
    • 0034295631 scopus 로고    scopus 로고
    • New approaches to relaxed quadratic stability condition of fuzzy control systems
    • Kim E., Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Trans. Fuzzy Systems. 8(5):2000;523-534.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.5 , pp. 523-534
    • Kim, E.1    Lee, H.2
  • 21
    • 0035897740 scopus 로고    scopus 로고
    • ∞ control of uncertain nonlinear systems via state feedback: An LMI approach
    • ∞ control of uncertain nonlinear systems via state feedback an LMI approach Fuzzy Sets and Systems. 120:2001;123-134.
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 123-134
    • Lee, K.1    Jeung, E.2    Park, H.3
  • 22
    • 0035303165 scopus 로고    scopus 로고
    • Robust fuzzy control of nonlinear systems with parametric uncertainties
    • Lee H., Park J., Chen G. Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Trans. Fuzzy Systems. 9(2):2001;369-379.
    • (2001) IEEE Trans. Fuzzy Systems , vol.9 , Issue.2 , pp. 369-379
    • Lee, H.1    Park, J.2    Chen, G.3
  • 23
    • 0028728038 scopus 로고
    • A common Lyapunov function for stability LTI systems with commuting A-matrices
    • Narendra K., Balakrishnan J. A common Lyapunov function for stability LTI systems with commuting A-matrices. IEEE Trans. Automat. Control. 39(12):1994;2469-2471.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.12 , pp. 2469-2471
    • Narendra, K.1    Balakrishnan, J.2
  • 24
    • 0023310712 scopus 로고
    • A stabilization algorithm for a class of uncertain linear systems
    • Petersen I. A stabilization algorithm for a class of uncertain linear systems. Systems Control Lett. 8:1987;351-357.
    • (1987) Systems Control Lett. , vol.8 , pp. 351-357
    • Petersen, I.1
  • 26
    • 0032070670 scopus 로고    scopus 로고
    • Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs
    • Tanaka K., Ikeda T., Wang H. Fuzzy regulators and fuzzy observers. relaxed stability conditions and LMI-based designs IEEE Trans. Fuzzy Systems. 6(2):1998;250-265.
    • (1998) IEEE Trans. Fuzzy Systems , vol.6 , Issue.2 , pp. 250-265
    • Tanaka, K.1    Ikeda, T.2    Wang, H.3
  • 27
    • 0028436490 scopus 로고
    • A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer
    • Tanaka K., Sano M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer. IEEE Trans. Fuzzy Systems. 2(2):1994;119-133.
    • (1994) IEEE Trans. Fuzzy Systems , vol.2 , Issue.2 , pp. 119-133
    • Tanaka, K.1    Sano, M.2
  • 28
    • 0029275058 scopus 로고
    • Trajectory stabilization of a model car via fuzzy control
    • Tanaka K., Sano M. Trajectory stabilization of a model car via fuzzy control. Fuzzy Sets and Systems. 70:1995;155-170.
    • (1995) Fuzzy Sets and Systems , vol.70 , pp. 155-170
    • Tanaka, K.1    Sano, M.2
  • 29
    • 0026644930 scopus 로고
    • Stability analysis and design of fuzzy control systems
    • Tanaka K., Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems. 45:1992;135-156.
    • (1992) Fuzzy Sets and Systems , vol.45 , pp. 135-156
    • Tanaka, K.1    Sugeno, M.2
  • 31
    • 0035415965 scopus 로고    scopus 로고
    • Model construction, rule reduction and robust compensation for generalized form of Takagi-Sugeno fuzzy systems
    • Taniguchi T., Tanaka K., Ohatake H., Wang H. Model construction, rule reduction and robust compensation for generalized form of Takagi-Sugeno fuzzy systems. IEEE Trans. Fuzzy Systems. 9(4):2001;525-538.
    • (2001) IEEE Trans. Fuzzy Systems , vol.9 , Issue.4 , pp. 525-538
    • Taniguchi, T.1    Tanaka, K.2    Ohatake, H.3    Wang, H.4
  • 33
    • 0035302796 scopus 로고    scopus 로고
    • Parameterized linear matrix inequality techniques in fuzzy control system design
    • Tuan H., Apkarian P., Narikiyo T., Yamamoto Y. Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Trans. Fuzzy Systems. 9(2):2001;324-332.
    • (2001) IEEE Trans. Fuzzy Systems , vol.9 , Issue.2 , pp. 324-332
    • Tuan, H.1    Apkarian, P.2    Narikiyo, T.3    Yamamoto, Y.4
  • 34
    • 0030082891 scopus 로고    scopus 로고
    • An approach to fuzzy control of nonlinear systems: Stability and design issues
    • Wang H., Tanaka K., Griffin M. An approach to fuzzy control of nonlinear systems. stability and design issues IEEE Trans. Fuzzy Systems. 4(1):1996;14-23.
    • (1996) IEEE Trans. Fuzzy Systems , vol.4 , Issue.1 , pp. 14-23
    • Wang, H.1    Tanaka, K.2    Griffin, M.3
  • 35
    • 0030169365 scopus 로고    scopus 로고
    • Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties
    • Wang L., Zhan W. Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties. IEEE Trans. Automat. Control. 41(6):1996;886-888.
    • (1996) IEEE Trans. Automat. Control , vol.41 , Issue.6 , pp. 886-888
    • Wang, L.1    Zhan, W.2
  • 36
    • 0026905635 scopus 로고
    • ∞ control for linear systems with norm-bounded time-varying uncertainty
    • ∞ control for linear systems with norm-bounded time-varying uncertainty IEEE Trans. Automat. Control. 37(8):1992;1188-1191.
    • (1992) IEEE Trans. Automat. Control , vol.37 , Issue.8 , pp. 1188-1191
    • Xie, L.1    De Souza, C.2
  • 37
    • 0026901927 scopus 로고
    • ∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback
    • ∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback IEEE Trans. Automat. Control. 37(8):1992;1253-1256.
    • (1992) IEEE Trans. Automat. Control , vol.37 , Issue.8 , pp. 1253-1256
    • Xie, L.1    Fu, M.2    De Souza, C.3
  • 38
    • 0032121932 scopus 로고    scopus 로고
    • Sufficient conditions on uniform approximation of multivariate functions by Takagi-Sugeno fuzzy systems with linear rule consequent
    • Ying H. Sufficient conditions on uniform approximation of multivariate functions by Takagi-Sugeno fuzzy systems with linear rule consequent. IEEE Trans. System Man Cybernet. - Part A: Systems Humans. 28(4):1998;515-520.
    • (1998) IEEE Trans. System Man Cybernet. - Part A: Systems Humans , vol.28 , Issue.4 , pp. 515-520
    • Ying, H.1
  • 39
    • 0034476598 scopus 로고    scopus 로고
    • A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators
    • Zeng K., Zhang N.-Y., Xu W.-L. A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators. IEEE Trans. Fuzzy Systems. 8(6):2000;773-780.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.6 , pp. 773-780
    • Zeng, K.1    Zhang, N.-Y.2    Xu, W.-L.3
  • 40
    • 0023386475 scopus 로고
    • Stability robustness bounds for linear state-space model with structured uncertainty
    • Zhou K., Khargonekar P. Stability robustness bounds for linear state-space model with structured uncertainty. IEEE Trans. Automat. Control. 32(7):1987;621-623.
    • (1987) IEEE Trans. Automat. Control , vol.32 , Issue.7 , pp. 621-623
    • Zhou, K.1    Khargonekar, P.2


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