메뉴 건너뛰기




Volumn 15, Issue 3, 2007, Pages 350-358

Robust fuzzy design for nonlinear uncertain stochastic systems via sliding-mode control

Author keywords

Fuzzy control; Nonlinear uncertainties; Sliding mode control (SMC); Stochastic systems

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; SLIDING MODE CONTROL; STOCHASTIC CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

EID: 34250849038     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.880006     Document Type: Article
Times cited : (198)

References (32)
  • 1
    • 0002256901 scopus 로고
    • Random differential equations in control theory
    • W. M. Wonham, A. B. Reid, Ed, New York: Academic
    • W. M. Wonham, A. B. Reid, Ed., "Random differential equations in control theory," in Probabilistic Methods in Applied Mathematics. New York: Academic, 1970, vol. 2.
    • (1970) Probabilistic Methods in Applied Mathematics , vol.2
  • 2
    • 0029639899 scopus 로고
    • Stability of stochastic systems with uncertain time delay
    • E. I. Verriest and P. Florchinger, "Stability of stochastic systems with uncertain time delay," Syst. Control Lett., vol. 24, pp. 41-47, 1995.
    • (1995) Syst. Control Lett , vol.24 , pp. 41-47
    • Verriest, E.I.1    Florchinger, P.2
  • 3
    • 0001669784 scopus 로고    scopus 로고
    • Robust stability of uncertain stochastic differential delay systems
    • X. Mao, N. Koroleva, and A. Rodkina, "Robust stability of uncertain stochastic differential delay systems," Syst. Control Lett., vol. 35, pp. 325-336, 1998.
    • (1998) Syst. Control Lett , vol.35 , pp. 325-336
    • Mao, X.1    Koroleva, N.2    Rodkina, A.3
  • 4
    • 0036949864 scopus 로고    scopus 로고
    • ∞ control for uncertain stochastic systems with state delay
    • Dec
    • ∞ control for uncertain stochastic systems with state delay," IEEE Trans. Autom. Control, vol. 47, no. 12, pp. 2089-2094, Dec. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.12 , pp. 2089-2094
    • Xu, S.1    Chen, T.2
  • 5
    • 5444249869 scopus 로고    scopus 로고
    • ∞ output feedback control for uncertain stochastic systems with time-varying delay
    • ∞ output feedback control for uncertain stochastic systems with time-varying delay," Automatica, vol. 40, pp. 2091-2098, 2004.
    • (2004) Automatica , vol.40 , pp. 2091-2098
    • Xu, S.1
  • 6
    • 14844343213 scopus 로고    scopus 로고
    • Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
    • Y. Niu, D. W. C. Ho, and J. Lam, "Robust integral sliding mode control for uncertain stochastic systems with time-varying delay," Automatica, vol. 41, pp. 873-880, 2005.
    • (2005) Automatica , vol.41 , pp. 873-880
    • Niu, Y.1    Ho, D.W.C.2    Lam, J.3
  • 7
    • 0033078190 scopus 로고    scopus 로고
    • Output-feedback stochastic nonlinear stabilization
    • Feb
    • H. Deng and M. Krstic, "Output-feedback stochastic nonlinear stabilization," IEEE Trans. Autom. Control, vol. 44, no. 2, pp. 328-333, Feb. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.2 , pp. 328-333
    • Deng, H.1    Krstic, M.2
  • 8
    • 0037351967 scopus 로고    scopus 로고
    • Output-feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost
    • Mar
    • Y. Liu, Z. Pan, and S. Shi, "Output-feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost," IEEE Trans. Autom. Control, vol. 48, no. 3, pp. 509-513, Mar. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.3 , pp. 509-513
    • Liu, Y.1    Pan, Z.2    Shi, S.3
  • 9
    • 0037292321 scopus 로고    scopus 로고
    • State feedback stabilization for a class of stochastic time-delay nonlinear systems
    • Feb
    • Y. Fu, Z. Tian, and S. Shi, "State feedback stabilization for a class of stochastic time-delay nonlinear systems," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 282-286, Feb. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.2 , pp. 282-286
    • Fu, Y.1    Tian, Z.2    Shi, S.3
  • 10
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modeling and control
    • Jan
    • T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. 15, no. 1, pp. 116-132, Jan. 1985.
    • (1985) IEEE Trans. Syst., Man, Cybern , vol.15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 11
    • 0026644930 scopus 로고
    • Stability analysis and design of fuzzy control systems
    • T. Takagi, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
    • (1992) Fuzzy Sets Syst , vol.45 , pp. 135-156
    • Takagi, T.1
  • 12
    • 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
  • 13
    • 0030082869 scopus 로고    scopus 로고
    • ∞ control theory, and linear matrix inequalities
    • Feb
    • ∞ control theory, and linear matrix inequalities," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 116-132, Feb. 1996.
    • (1996) IEEE Trans. Fuzzy Syst , vol.4 , Issue.1 , pp. 116-132
    • Tanaka, K.1    Ikeda, T.2    Wang, H.O.3
  • 14
    • 0035303165 scopus 로고    scopus 로고
    • Robust fuzzy control of nonlinear systems with parametric uncertainties
    • Jun
    • H. J. Lee, J. B. Park, and G. Chen, "Robust fuzzy control of nonlinear systems with parametric uncertainties," IEEE Trans. Fuzzy Syst., vol. 9, no. 3, pp. 369-379, Jun. 2001.
    • (2001) IEEE Trans. Fuzzy Syst , vol.9 , Issue.3 , pp. 369-379
    • Lee, H.J.1    Park, J.B.2    Chen, G.3
  • 15
    • 0036906354 scopus 로고    scopus 로고
    • Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach
    • Dec
    • F. Zheng, Q.-G. Wang, and T. H. Lee, "Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach," IEEE Trans. Fuzzy Syst., vol. 10, no. 6, pp. 686-697, Dec. 2002.
    • (2002) IEEE Trans. Fuzzy Syst , vol.10 , Issue.6 , pp. 686-697
    • Zheng, F.1    Wang, Q.-G.2    Lee, T.H.3
  • 16
    • 0034244958 scopus 로고    scopus 로고
    • ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems
    • Aug
    • ∞ disturbance attenuation for a class of uncertain discrete-time fuzzy systems," IEEE Trans. Fuzzy Syst., vol. 8, no. 4, pp. 406-415, Aug. 2000.
    • (2000) IEEE Trans. Fuzzy Syst , vol.8 , Issue.4 , pp. 406-415
    • Cao, Y.-Y.1    Frank, P.M.2
  • 17
    • 0033721189 scopus 로고    scopus 로고
    • Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
    • Apr
    • Y.-Y. Cao and P. M. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 2, pp. 200-211, Apr. 2000.
    • (2000) IEEE Trans. Fuzzy Syst , vol.8 , Issue.2 , pp. 200-211
    • Cao, Y.-Y.1    Frank, P.M.2
  • 18
    • 3242739399 scopus 로고    scopus 로고
    • B. Chen and X. Liu, Reliable control design of fuzzy dynamic systems with time-varying delay, Fuzzy Sets Syst., 00, pp. 00-00, 2004.
    • B. Chen and X. Liu, "Reliable control design of fuzzy dynamic systems with time-varying delay," Fuzzy Sets Syst., vol. 00, pp. 00-00, 2004.
  • 19
    • 0037998942 scopus 로고    scopus 로고
    • Analysis and synthesis of fuzzy stochastic systems via LMI approach
    • H. Liu, K. He, F. Sun, and Z. Sun, "Analysis and synthesis of fuzzy stochastic systems via LMI approach," in Proc. IEEE TENCON'02, 2002, pp. 1700-1703.
    • (2002) Proc. IEEE TENCON'02 , pp. 1700-1703
    • Liu, H.1    He, K.2    Sun, F.3    Sun, Z.4
  • 20
    • 3142691900 scopus 로고    scopus 로고
    • A note on the Robust stability of uncertain stochastic fuzzy systems with time-delays
    • Jun
    • Z. Wang, D. W. C. Ho, and X. Liu, "A note on the Robust stability of uncertain stochastic fuzzy systems with time-delays," IEEE Trans. Syst., Man, Cybern. A, vol. 34, no. 3, pp. 570-576, Jun. 2004.
    • (2004) IEEE Trans. Syst., Man, Cybern. A , vol.34 , Issue.3 , pp. 570-576
    • Wang, Z.1    Ho, D.W.C.2    Liu, X.3
  • 22
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • Y. Wang, L. Xie, and C. E. de Souza, "Robust control of a class of uncertain nonlinear systems," Syst. Control Lett., vol. 19, pp. 139-149, 1992.
    • (1992) Syst. Control Lett , vol.19 , pp. 139-149
    • Wang, Y.1    Xie, L.2    de Souza, C.E.3
  • 23
    • 0026901927 scopus 로고
    • ∞ control and quadratic stabilization of systems with uncertainty via output feedback
    • Jun
    • ∞ control and quadratic stabilization of systems with uncertainty via output feedback," IEEE Trans. Autom. Control, vol. 37, no. 6, pp. 1253-1256, Jun. 1992.
    • (1992) IEEE Trans. Autom. Control , vol.37 , Issue.6 , pp. 1253-1256
    • Xie, L.1    Fu, M.2    de Souza, C.E.3
  • 24
    • 0031197472 scopus 로고    scopus 로고
    • A cone complementarity linearization algorithm for static output-feedback and related problems
    • Dec
    • L. E. Ghaoui, F. Oustry, and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Autom. Control, vol. 42, no. 6, pp. 1171-1176, Dec. 1997.
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.6 , pp. 1171-1176
    • Ghaoui, L.E.1    Oustry, F.2    AitRami, M.3
  • 25
    • 0035661982 scopus 로고    scopus 로고
    • ∞ output feedback controllers
    • ∞ output feedback controllers," SIAM J. Control Optim., vol. 39, pp. 1711-1735, 2001.
    • (2001) SIAM J. Control Optim , vol.39 , pp. 1711-1735
    • Leibfritz, F.1
  • 26
    • 0029488236 scopus 로고
    • The XY-centering algorithm for dual LMI problem: A new approach to fixed order control design
    • T. Iwasaki and R. E. Skelton, "The XY-centering algorithm for dual LMI problem: A new approach to fixed order control design," Int. J. Control, vol. 62, pp. 1257-1272, 1995.
    • (1995) Int. J. Control , vol.62 , pp. 1257-1272
    • Iwasaki, T.1    Skelton, R.E.2
  • 27
    • 0043013342 scopus 로고    scopus 로고
    • ∞ model reduction of Markovian jump linear systems
    • ∞ model reduction of Markovian jump linear systems," Syst. Control Lett., vol. 50, pp. 103-118, 2003.
    • (2003) Syst. Control Lett , vol.50 , pp. 103-118
    • Zhang, L.1    Huang, B.2    Lam, J.3
  • 28
    • 0029469008 scopus 로고
    • ∞ model reduction via linear matrix inequalities: Continuous- and discrete-time cases
    • ∞ model reduction via linear matrix inequalities: Continuous- and discrete-time cases," Syst. Control Lett., vol. 26, pp. 321-333, 1995.
    • (1995) Syst. Control Lett , vol.26 , pp. 321-333
    • Grigoriadis, K.M.1
  • 30
    • 0030652247 scopus 로고    scopus 로고
    • Numerical comparison of output feedback design methods
    • M. C. de Oliveria and J. C. Geromel, "Numerical comparison of output feedback design methods," in Proc. Amer. Control Conf., 1997, pp. 72-76.
    • (1997) Proc. Amer. Control Conf , pp. 72-76
    • de Oliveria, M.C.1    Geromel, J.C.2
  • 31
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • D. Higham, "An algorithmic introduction to numerical simulation of stochastic differential equations," SIAM Rev., vol. 43, pp. 525-546, 2001.
    • (2001) SIAM Rev , vol.43 , pp. 525-546
    • Higham, D.1
  • 32
    • 0142137684 scopus 로고    scopus 로고
    • Asurvey of applications of second-order sliding mode control to mechanical systems
    • E. Punta, G. Bartolini, A. Pisano, and E. Usai, "Asurvey of applications of second-order sliding mode control to mechanical systems," Int. J. Control, vol. 76, pp. 875-892, 2003
    • (2003) Int. J. Control , vol.76 , pp. 875-892
    • Punta, E.1    Bartolini, G.2    Pisano, A.3    Usai, E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.