메뉴 건너뛰기




Volumn 69, Issue 4, 2012, Pages 1639-1650

Adaptive fuzzy H∞ tracking design of SISO uncertain nonlinear fractional order time-delay systems

Author keywords

Adaptive fuzzy control; Fractional order; H control; Lyapunov criterion; Time delay

Indexed keywords

ADAPTIVE FUZZY; ADAPTIVE FUZZY CONTROL; ADAPTIVE FUZZY CONTROLLER; ADAPTIVE LAWS; EXTERNAL DISTURBANCES; FRACTIONAL ORDER; FREE PARAMETERS; FUZZY LOGIC CONTROLLERS; FUZZY LOGIC SYSTEM; INFINITE DIMENSIONAL; LINGUISTIC UNCERTAINTY; LYAPUNOV CRITERION; LYAPUNOV STABILITY CRITERION; MODEL FREE; NUMERICAL RESULTS; OUTPUT FEEDBACK CONTROLS; SOURCE OF INSTABILITY; TIME-DELAY SYSTEMS; TRACKING DESIGN; TRACKING ERRORS; TRACKING PERFORMANCE; TRACKING SCHEME; TRAINING ALGORITHMS; UNKNOWN TIME DELAYS;

EID: 84866124835     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0375-5     Document Type: Article
Times cited : (17)

References (46)
  • 4
    • 0001299915 scopus 로고    scopus 로고
    • Robust stability of interval time-delay systems with delay-dependence
    • Liu, P.L., Su, T.J.: Robust stability of interval time-delay systems with delay-dependence. Syst. Control Lett. 33(4), 231-239 (1998)
    • (1998) Syst. Control Lett. , vol.33 , Issue.4 , pp. 231-239
    • Liu, P.L.1    Su, T.J.2
  • 6
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard, J.P.: Time-delay systems: An overview of some recent advances and open problems. Automatica 39(11), 1667-1694 (2003)
    • (2003) Automatica , vol.39 , Issue.11 , pp. 1667-1694
    • Richard, J.P.1
  • 7
    • 0034172097 scopus 로고    scopus 로고
    • Robust stabilization of a class of time-delay nonlinear systems
    • Nguang, S.K.: Robust stabilization of a class of time-delay nonlinear systems. IEEE Trans. Autom. Control 45(4), 756-762 (2000)
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.4 , pp. 756-762
    • Nguang, S.K.1
  • 8
    • 18444408123 scopus 로고    scopus 로고
    • Robust adaptive control of nonlinear systems with unknown time delays
    • DOI 10.1016/j.automatica.2005.01.011, PII S0005109805000610
    • Ge, S.S., Hong, F., Lee, T.H.: Robust adaptive control of nonlinear systems with unknown time delays. Automatica 41, 1181-1190 (2005) (Pubitemid 40644856)
    • (2005) Automatica , vol.41 , Issue.7 , pp. 1181-1190
    • Ge, S.S.1    Hong, F.2    Lee, T.H.3
  • 12
    • 18844427587 scopus 로고    scopus 로고
    • Chaos synchronization of the fractional Lü system
    • Deng, W.H., Li, C.P.: Chaos synchronization of the fractional Lü system. Physica A 353, 61-72 (2005)
    • (2005) Physica A , vol.353 , pp. 61-72
    • Deng, W.H.1    Li, C.P.2
  • 15
    • 21644443401 scopus 로고    scopus 로고
    • Synchronization of chaotic fractional chen system
    • Deng, W.H., Li, C.P.: Synchronization of chaotic fractional Chen system. J. Phys. Soc. Jpn. 74, 1645 (2005)
    • (2005) J. Phys. Soc. Jpn. , vol.74 , pp. 1645
    • Deng, W.H.1    Li, C.P.2
  • 16
    • 0027591320 scopus 로고
    • Stable adaptive fuzzy control of nonlinear systems
    • Wang, L.X.: Stable adaptive fuzzy control of nonlinear systems. IEEE Trans. Fuzzy Syst. 1, 146-155 (1993)
    • (1993) IEEE Trans. Fuzzy Syst. , vol.1 , pp. 146-155
    • Wang, L.X.1
  • 17
    • 0026928374 scopus 로고
    • Fuzzy basis function, universal approximation, and orthogonal least square learning
    • Wang, L.X., Mendel, J.M.: Fuzzy basis function, universal approximation, and orthogonal least square learning. IEEE Trans. Neural Netw. 3(5), 807-814 (1992)
    • (1992) IEEE Trans. Neural Netw. , vol.3 , Issue.5 , pp. 807-814
    • Wang, L.X.1    Mendel, J.M.2
  • 19
    • 33747455391 scopus 로고
    • Theory of fuzzy controller: An introduction
    • Buckley, J.J.: Theory of fuzzy controller: An introduction. Fuzzy Sets Syst. 51, 249-258 (1992)
    • (1992) Fuzzy Sets Syst. , vol.51 , pp. 249-258
    • Buckley, J.J.1
  • 20
    • 0026883345 scopus 로고
    • A stability approach to fuzzy control design for nonlinear systems
    • Hwang, G.C., Lin, S.C. A stability approach to fuzzy control design for nonlinear systems. Fuzzy Sets Syst. 48, 279- 287 (1992)
    • (1992) Fuzzy Sets Syst. , vol.48 , pp. 279-287
    • Hwang, G.C.1    Lin, S.C.2
  • 21
    • 37549008797 scopus 로고    scopus 로고
    • T-S fuzzy-model-based robust H design for networked control systems with uncertainties
    • Zhang, H., Yang, J., Su, C.-Y.: T-S fuzzy-model-based robust H design for networked control systems with uncertainties. IEEE Trans. Ind. Inform. 3(4), 289-301 (2007)
    • (2007) IEEE Trans. Ind. Inform. , vol.3 , Issue.4 , pp. 289-301
    • Zhang, H.1    Yang J. Su, C.-Y.2
  • 22
    • 37549021942 scopus 로고    scopus 로고
    • Adaptive fuzzy sliding mode control algorithm for a non-affine nonlinear system
    • Chen, Z., Shan, C., Zhu, H.: Adaptive fuzzy sliding mode control algorithm for a non-affine nonlinear system. IEEE Trans. Ind. Inform. 3(4), 302-311 (2007)
    • (2007) IEEE Trans. Ind. Inform. , vol.3 , Issue.4 , pp. 302-311
    • Chen, Z.1    Shan, C.2    Zhu, H.3
  • 23
    • 4043121080 scopus 로고    scopus 로고
    • Detailed error analysis for a fractional Adams method
    • DOI 10.1023/B:NUMA.0000027736.85078.be
    • Diethelm, K., Ford, N.J., Freed, A.D.: Detailed error analysis for a fractional Adams method. Numer. Algorithms 36, 31-52 (2004) (Pubitemid 39072748)
    • (2004) Numerical Algorithms , vol.36 , Issue.1 , pp. 31-52
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 24
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen's system with a fractional order
    • Li, C., Peng, G.: Chaos in Chen's system with a fractional order. Chaos Solitons Fractals 22, 443-450 (2004)
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 443-450
    • Li, C.1    Peng, G.2
  • 25
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • DOI 10.1023/A:1016592219341, Fractional Order Calculus and Its Applications
    • Diethelm, K., Ford, N.J., Freed, A.D.: A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dyn. 29, 3-22 (2002) (Pubitemid 34945390)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 26
    • 0001618393 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Diethelm, K.: An algorithm for the numerical solution of differential equations of fractional order. Electron. Trans. Numer. Anal. 5, 1-6 (1997) (Pubitemid 38870919)
    • (1997) Electronic Transactions on Numerical Analysis , vol.5 , pp. 1-6
    • Diethelm, K.1
  • 27
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • Diethelm, K., Ford, N.J.: Analysis of fractional differential equations. J. Math. Anal. Appl. 265, 229-248 (2002)
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.J.2
  • 28
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modeling and control
    • Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15, 116-132 (1985)
    • (1985) IEEE Trans. Syst. Man Cybern. , vol.15 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 29
    • 0033115248 scopus 로고    scopus 로고
    • On stability of fuzzy systems expressed by fuzzy rules with singleton consequents
    • Sugeno, M.: On stability of fuzzy systems expressed by fuzzy rules with singleton consequents. IEEE Trans. Fuzzy Syst. 7, 201-224 (1999)
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , pp. 201-224
    • Sugeno, M.1
  • 30
    • 0033204141 scopus 로고    scopus 로고
    • Stability analysis of nonlinear multivariable takagi-sugeno fuzzy control systems
    • Cuesta, F., Gordillo, F., Aracil, J., Ollero, A.: Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems. IEEE Trans. Fuzzy Syst. 7, 508-519 (1999)
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , pp. 508-519
    • Cuesta, F.1    Gordillo, F.2    Aracil, J.3    Ollero, A.4
  • 31
    • 0033116173 scopus 로고    scopus 로고
    • Stabilizing controller design for uncertain nonlinear systems using fuzzy models
    • Teixeira, M.C.M., Zak, S.H.: Stabilizing controller design for uncertain nonlinear systems using fuzzy models. IEEE Trans. Fuzzy Syst. 7, 133-142 (1999)
    • (1999) IEEE Trans. Fuzzy Syst. , vol.7 , pp. 133-142
    • Teixeira, M.C.M.1    Zak, S.H.2
  • 32
    • 0033715295 scopus 로고    scopus 로고
    • T-S scheme for trajectory tracking of an underactuated robot
    • San Antonio, Texas, May
    • Begovich, O., Sanchez, E.N., Maldonado, M.: T-S scheme for trajectory tracking of an underactuated robot. In: Proc. Fuzzy-IEEE, 2000, pp. 798-803, San Antonio, Texas, May 2000
    • (2000) Proc. Fuzzy-IEEE , vol.2000 , pp. 798-803
    • Begovich, O.1    Sanchez, E.N.2    Maldonado, M.3
  • 33
    • 0029287724 scopus 로고
    • Fuzzy logical controllers are universal approximators
    • Castro, J.L.: Fuzzy logical controllers are universal approximators. IEEE Trans. Syst. Man Cybern. 25, 629-635 (1995)
    • (1995) IEEE Trans. Syst. Man Cybern. , vol.25 , pp. 629-635
    • Castro, J.L.1
  • 34
    • 77950143542 scopus 로고    scopus 로고
    • Robust adaptive tracking control of multivariable nonlinear systems based on interval type-2 fuzzy approach
    • Lin, T.C., Kuo, M.J., Hsu, C.H.: Robust adaptive tracking control of multivariable nonlinear systems based on interval type-2 fuzzy approach. Int. J. Innov. Comput. Inf. Control. 6(3(A)), 941-961 (2010)
    • (2010) Int. J. Innov. Comput. Inf. Control. , vol.6 , Issue.3 A , pp. 941-961
    • Lin, T.C.1    Kuo, M.J.2    Hsu, C.H.3
  • 35
    • 1542334730 scopus 로고    scopus 로고
    • Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems using VSS and H8 approaches
    • Lin, T.C., Wang, C.H., Liu, H.L.: Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems using VSS and H8 approaches. Int. J. Electr. Eng. 11(1), 59- 70 (2004)
    • (2004) Int. J. Electr. Eng. , vol.11 , Issue.1 , pp. 59-70
    • Lin, T.C.1    Wang, C.H.2    Liu, H.L.3
  • 36
    • 61349115478 scopus 로고    scopus 로고
    • Direct adaptive interval type-2 fuzzy control of multivariable nonlinear systems
    • Lin, T.C., Liu, H.L., Kuo, M.J.: Direct adaptive interval type-2 fuzzy control of multivariable nonlinear systems. Eng. Appl. Artif. Intell. 22(3), 420-430 (2009)
    • (2009) Eng. Appl. Artif. Intell. , vol.22 , Issue.3 , pp. 420-430
    • Lin, T.C.1    Liu, H.L.2    Kuo, M.J.3
  • 37
    • 1642389458 scopus 로고    scopus 로고
    • Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H8
    • Lin, T.C., Wang, C.H., Liu, H.L.: Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H8. Fuzzy Sets Syst. 143, 211- 232 (2004)
    • (2004) Fuzzy Sets Syst. , vol.143 , pp. 211-232
    • Lin, T.C.1    Wang, C.H.2    Liu, H.L.3
  • 38
    • 77952742922 scopus 로고    scopus 로고
    • Based On Interval Type-2 fuzzy neural network direct adaptive sliding mode control for SISO nonlinear systems
    • Lin, T.C.: Based on interval type-2 fuzzy neural network direct adaptive sliding mode control for SISO nonlinear systems. Commun. Nonlinear Sci. Numer. Simul. 15(12), 4084-4099 (2010)
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , Issue.12 , pp. 4084-4099
    • Lin, T.C.1
  • 40
    • 0030083069 scopus 로고    scopus 로고
    • H8 tracking design of uncertain nonlinear SISO systems: Adaptive fuzzy approach
    • Ben, B.S., Lee, C.H., Chang, Y.C.: H8 tracking design of uncertain nonlinear SISO systems: Adaptive fuzzy approach. IEEE Trans. Fuzzy Syst. 4, 32-43 (1996)
    • (1996) IEEE Trans. Fuzzy Syst. , vol.4 , pp. 32-43
    • Ben, B.S.1    Lee, C.H.2    Chang, Y.C.3
  • 41
    • 0242416106 scopus 로고    scopus 로고
    • Extension of the Center Manifold approach, using rational approximates, applied to nonlinear stability analysis
    • Sinou, J.J., Thouverez, F., Jezeque, L.: Extension of the Center Manifold approach, using rational approximates, applied to nonlinear stability analysis. Nonlinear Dyn. 33, 267-282 (2003)
    • (2003) Nonlinear Dyn. , vol.33 , pp. 267-282
    • Sinou, J.J.1    Thouverez, F.2    Jezeque, L.3
  • 42
    • 84855793135 scopus 로고    scopus 로고
    • Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown tine-delay
    • Farid, Y., Bigdeli, N.: Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown tine-delay. Nonlinear Dyn. 67(3), 2225- 2240 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , Issue.3 , pp. 2225-2240
    • Farid, Y.1    Bigdeli, N.2
  • 43
    • 84855791447 scopus 로고    scopus 로고
    • Modeling and control of a nonlinear half-vehicle suspension system: A hybrid fuzzy logic approach
    • doi:10.1007/ s11071-011-0135-y, online
    • Demir, O., Keskin, I., Cetin, S.: Modeling and control of a nonlinear half-vehicle suspension system: A hybrid fuzzy logic approach. Nonlinear Dyn. (2011). doi:10.1007/ s11071-011-0135-y, online
    • (2011) Nonlinear Dyn.
    • Demir, O.1    Keskin, I.2    Cetin, S.3
  • 44
    • 80051510187 scopus 로고    scopus 로고
    • Chaos synchronization of uncertain fractional order chaotic systems with time delay based on adaptive fuzzy sliding mode control
    • Lin, T.-C., Lee, T.-Y.: Chaos synchronization of uncertain fractional order chaotic systems with time delay based on adaptive fuzzy sliding mode control. IEEE Trans. Fuzzy Syst. 19(4), 623-635 (2011)
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.4 , pp. 623-635
    • Lin, T.-C.1    Lee, T.-Y.2
  • 45
    • 80052419705 scopus 로고    scopus 로고
    • Synchronization of uncertain fractional order chaotic systems: Adaptive fuzzy approach
    • Lin, T.-C., Kuo, C.-H.: Synchronization of uncertain fractional order chaotic systems: Adaptive fuzzy approach. ISA Trans. 50, 548-556 (2011)
    • (2011) ISA Trans. , vol.50 , pp. 548-556
    • Lin, T.-C.1    Kuo, C.-H.2
  • 46
    • 80053036184 scopus 로고    scopus 로고
    • Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems
    • Lin, T.-C., Lee, T.-Y., Balas, V.E.: Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems. Chaos Solitons Fractals 44, 791-801 (2011)
    • (2011) Chaos Solitons Fractals , vol.44 , pp. 791-801
    • Lin, T.-C.1    Lee, T.-Y.2    Balas, V.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.