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Volumn 18, Issue 6, 2010, Pages 1041-1057

A fuzzy approach for robust reference-tracking-control design of nonlinear distributed parameter time-delayed systems and its application

Author keywords

Finite difference approach; fuzzy interpolation method; nonlinear distributed parameter systems (NDPSs); reference tracking control; robust observer based tracking control; spatial state space model; time delay

Indexed keywords

FINITE DIFFERENCE; FUZZY INTERPOLATION; NONLINEAR DISTRIBUTED PARAMETER SYSTEMS (NDPSS); REFERENCE-TRACKING; ROBUST OBSERVERS; STATE-SPACE MODELS;

EID: 78649728552     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2058809     Document Type: Article
Times cited : (96)

References (60)
  • 4
    • 0018005370 scopus 로고
    • Feedback control of flexible systems
    • Aug.
    • M. J. Balas, "Feedback control of flexible systems," IEEE Trans. Autom. Control, vol. AC-23, no. 4, pp. 673-679, Aug. 1978.
    • (1978) IEEE Trans. Autom. Control , vol.AC-23 , Issue.4 , pp. 673-679
    • Balas, M.J.1
  • 5
    • 0028725286 scopus 로고
    • Robust observer-based control of large flexible structures
    • Dec.
    • C.-L. Lin and B.-S. Chen, "Robust observer-based control of large flexible structures," J. Dyn. Syst. Meas. Control-Trans. ASME, vol. 116, pp. 713-722, Dec. 1994.
    • (1994) J. Dyn. Syst. Meas. Control-Trans. ASME , vol.116 , pp. 713-722
    • Lin, C.-L.1    Chen, B.-S.2
  • 10
    • 0001983617 scopus 로고
    • Nonlinear finite-dimensional control of a class of nonlinear distributed parameter systems using residual mode filters: A proof of local exponential stability
    • M. J. Balas, "Nonlinear finite-dimensional control of a class of nonlinear distributed parameter systems using residual mode filters: A proof of local exponential stability," J. Math. Anal. Appl., vol. 162, pp. 63-70, 1991.
    • (1991) J. Math. Anal. Appl. , vol.162 , pp. 63-70
    • Balas, M.J.1
  • 11
    • 0034689117 scopus 로고    scopus 로고
    • Finite-dimensional approximation and control of non-linear parabolic PDE systems
    • J. Baker and P. D. Christofides, "Finite-dimensional approximation and control of non-linear parabolic PDE systems," Int. J. Control, vol. 73, no. 5, pp. 439-456, 2000.
    • (2000) Int. J. Control , vol.73 , Issue.5 , pp. 439-456
    • Baker, J.1    Christofides, P.D.2
  • 12
    • 0035360942 scopus 로고    scopus 로고
    • Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model
    • Jun.
    • C.-S. Tseng, B.-S. Chen, and H.-J. Uang, "Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model," IEEE Trans. Fuzzy Syst., vol. 9, no. 3, pp. 381-392, Jun. 2001.
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , Issue.3 , pp. 381-392
    • Tseng, C.-S.1    Chen, B.-S.2    Uang, H.-J.3
  • 14
    • 12344337544 scopus 로고    scopus 로고
    • Trajectory tracking of large-displacement piezoelectric actuators using a nonlinear observer-based variable structure control
    • Jan.
    • C.-L. Hwang, Y.-M. Chen, and C. Jan, "Trajectory tracking of large-displacement piezoelectric actuators using a nonlinear observer-based variable structure control," IEEE Trans. Control Syst. Technol., vol. 13, no. 1, pp. 56-66, Jan. 2005.
    • (2005) IEEE Trans. Control Syst. Technol. , vol.13 , Issue.1 , pp. 56-66
    • Hwang, C.-L.1    Chen, Y.-M.2    Jan, C.3
  • 15
    • 33750221743 scopus 로고    scopus 로고
    • Output tracking control for fuzzy systems via output feedback design
    • Oct.
    • K.-Y. Lian and J.-J. Liou, "Output tracking control for fuzzy systems via output feedback design," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 628-639, Oct. 2006.
    • (2006) IEEE Trans. Fuzzy Syst. , vol.14 , Issue.5 , pp. 628-639
    • Lian, K.-Y.1    Liou, J.-J.2
  • 16
    • 0035415754 scopus 로고    scopus 로고
    • LMI-based fuzzy chaotic synchronization and communications
    • Aug.
    • K.-Y. Lian, C.-S. Chiu, T.-S. Chiang, and P. Liu, "LMI-based fuzzy chaotic synchronization and communications," IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 539-553, Aug. 2001.
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , Issue.4 , pp. 539-553
    • Lian, K.-Y.1    Chiu, C.-S.2    Chiang, T.-S.3    Liu, P.4
  • 17
    • 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
  • 19
    • 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. 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. (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
  • 20
    • 17744361919 scopus 로고    scopus 로고
    • Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach
    • Apr.
    • S.-S. Chen, Y.-C. Chang, S.-F. Su, S.-L. Chung, and T.-T. Lee, "Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 13, no. 2, pp. 263-272, Apr. 2005.
    • (2005) IEEE Trans. Fuzzy Syst. , vol.13 , Issue.2 , pp. 263-272
    • Chen, S.-S.1    Chang, Y.-C.2    Su, S.-F.3    Chung, S.-L.4    Lee, T.-T.5
  • 21
    • 70350074763 scopus 로고    scopus 로고
    • ∞ filtering for discrete-time T-S fuzzy systems with time-varying delay
    • Oct.
    • ∞ filtering for discrete-time T-S fuzzy systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1044-1058, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 1044-1058
    • Qiu, J.1    Feng, G.2    Yang, J.3
  • 22
    • 67149144438 scopus 로고    scopus 로고
    • ∞ filter design for discrete-time fuzzy systems with time-varying delays
    • Jun.
    • ∞ filter design for discrete-time fuzzy systems with time-varying delays," IEEE Trans. Fuzzy Syst., vol. 17, no. 3, pp. 604-616, Jun. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.3 , pp. 604-616
    • Chen, M.1    Feng, G.2    Ma, H.3    Chen, G.4
  • 23
    • 17644369992 scopus 로고    scopus 로고
    • Fuzzy guaranteed cost control for nonlinear systems with time-varying delay
    • DOI 10.1109/TFUZZ.2004.840131
    • B. Chen and X. Liu, "Fuzzy guaranteed cost control for nonlinear systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 13, no. 2, pp. 238-249, Apr. 2005. (Pubitemid 40556005)
    • (2005) IEEE Transactions on Fuzzy Systems , vol.13 , Issue.2 , pp. 238-249
    • Chen, B.1    Liu, X.2
  • 24
    • 39649121043 scopus 로고    scopus 로고
    • Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems With multiple time delays
    • DOI 10.1109/TSMCB.2007.910532
    • H. Zhang, Y. Wang, and D. Liu, "Delay-dependent guaranteed cost control for uncertain stochastic fuzzy systems with multiple time delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 1, pp. 126-140, Feb. 2008. (Pubitemid 351285020)
    • (2008) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.38 , Issue.1 , pp. 126-140
    • Zhang, H.1    Wang, Y.2    Liu, D.3
  • 25
    • 0035303083 scopus 로고    scopus 로고
    • ∞ approaches
    • Apr.
    • ∞ approaches," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 278-292, Apr. 2001.
    • (2001) IEEE Trans. Fuzzy Syst. , vol.9 , Issue.2 , pp. 278-292
    • Chang, Y.-C.1
  • 26
    • 61549100928 scopus 로고    scopus 로고
    • Intelligent robust tracking control for a class of uncertain strict feedback nonlinear systems
    • Feb.
    • Y.-C. Chang, "Intelligent robust tracking control for a class of uncertain strict feedback nonlinear systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 1, pp. 142-155, Feb. 2009.
    • (2009) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.39 , Issue.1 , pp. 142-155
    • Chang, Y.-C.1
  • 28
    • 14744268610 scopus 로고    scopus 로고
    • Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control
    • Feb.
    • F.-H. Hsiao, J.-D. Hwang, C.-W. Chen, and Z.-R. Tsai, "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 152-163, Feb. 2005.
    • (2005) IEEE Trans. Fuzzy Syst. , vol.13 , Issue.1 , pp. 152-163
    • Hsiao, F.-H.1    Hwang, J.-D.2    Chen, C.-W.3    Tsai, Z.-R.4
  • 29
    • 54349087836 scopus 로고    scopus 로고
    • ∞ decentralized fuzzy-observer-based fuzzy control design for nonlinear interconnected systems
    • Oct.
    • ∞ decentralized fuzzy-observer-based fuzzy control design for nonlinear interconnected systems," IEEE Trans. Fuzzy Syst., vol. 16, no. 5, pp. 1337-1350, Oct. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.5 , pp. 1337-1350
    • Tseng, C.-S.1
  • 30
    • 60549112223 scopus 로고    scopus 로고
    • Fuzzy solutions to partial differential equations: Adaptive approach
    • Feb.
    • Y.-Y. Chen, Y.-T. Chang, and B.-S. Chen, "Fuzzy solutions to partial differential equations: Adaptive approach," IEEE Trans. Fuzzy Syst., vol. 17, no. 1, pp. 116-127, Feb. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.1 , pp. 116-127
    • Chen, Y.-Y.1    Chang, Y.-T.2    Chen, B.-S.3
  • 31
    • 42549125588 scopus 로고    scopus 로고
    • ∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints
    • Apr.
    • ∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints," IEEE Trans. Fuzzy Syst., vol. 16, no. 2, pp. 502-516, Apr. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.2 , pp. 502-516
    • Wu, H.-N.1    Li, H.-X.2
  • 32
    • 45549104747 scopus 로고    scopus 로고
    • Robust stabilization of the distributed parameter system with time delay via fuzzy control
    • Jun.
    • K. Yuan, H.-X. Li, and J. Cao, "Robust stabilization of the distributed parameter system with time delay via fuzzy control," IEEE Trans. Fuzzy Syst., vol. 16, no. 3, pp. 567-584, Jun. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.3 , pp. 567-584
    • Yuan, K.1    Li, H.-X.2    Cao, J.3
  • 33
    • 70350068894 scopus 로고    scopus 로고
    • Fuzzy state space modeling and robust stabilization design for nonlinear partial differential systems
    • Oct.
    • B.-S. Chen and Y.-T. Chang, "Fuzzy state space modeling and robust stabilization design for nonlinear partial differential systems," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1025-1043, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 1025-1043
    • Chen, B.-S.1    Chang, Y.-T.2
  • 34
    • 0034472481 scopus 로고    scopus 로고
    • Output regulation for linear distributed parameter systems
    • Dec.
    • C. I. Byrnes, I. G. Laukó, D. S. Gilliam, and V. I. Shubov, "Output regulation for linear distributed parameter systems," IEEE Trans. Autom. Control, vol. 45, no. 12, pp. 2236-2252, Dec. 2000.
    • (2000) IEEE Trans. Autom. Control , vol.45 , Issue.12 , pp. 2236-2252
    • Byrnes, C.I.1    Laukó, I.G.2    Gilliam, D.S.3    Shubov, V.I.4
  • 35
    • 18144365865 scopus 로고    scopus 로고
    • Feedback control of hodgkin-huxley nerve cell dynamics
    • F. Fröhlich and S. Jezernik, "Feedback control of Hodgkin-Huxley nerve cell dynamics," Control Eng. Practice, vol. 13, pp. 1195-1206, 2005.
    • (2005) Control Eng. Practice , vol.13 , pp. 1195-1206
    • Fröhlich, F.1    Jezernik, S.2
  • 36
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • A. L. Hodgkin and A. F. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve," J. Physiol., vol. 177, pp. 500-544, 1952.
    • (1952) J. Physiol. , vol.177 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 38
    • 3042849899 scopus 로고    scopus 로고
    • Control of state transitions in an in silico model of epilepsy using small perturbations
    • Oct.
    • A. W. L. Chiu and B. L. Bardakjian, "Control of state transitions in an in silico model of epilepsy using small perturbations," IEEE Trans. Biomed. Eng., vol. 51, no. 10, pp. 1856-1859, Oct. 2004.
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , Issue.10 , pp. 1856-1859
    • Chiu, A.W.L.1    Bardakjian, B.L.2
  • 39
    • 59449105277 scopus 로고    scopus 로고
    • Homeostasis of brain dynamics in epilepsy: A feedback control systems perspective of seizures
    • N. Chakravarthy, K. Tsakalis, S. Sabesan, and L. Iasemidis, "Homeostasis of brain dynamics in epilepsy: A feedback control systems perspective of seizures," Ann. Biomed. Eng., vol. 37, no. 3, pp. 565-585, 2009.
    • (2009) Ann. Biomed. Eng. , vol.37 , Issue.3 , pp. 565-585
    • Chakravarthy, N.1    Tsakalis, K.2    Sabesan, S.3    Iasemidis, L.4
  • 40
    • 0036602408 scopus 로고    scopus 로고
    • Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: Acontinuous case
    • Aug.
    • E. Kim and S. Kim, "Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: Acontinuous case," IEEE Trans. Fuzzy Syst., vol. 10, no. 3, pp. 391-400, Aug. 2002.
    • (2002) IEEE Trans. Fuzzy Syst. , vol.10 , Issue.3 , pp. 391-400
    • Kim, E.1    Kim, S.2
  • 41
    • 0034204782 scopus 로고    scopus 로고
    • ∞ fuzzy output feedback control for nonlinear uncertain systems: Lmi approach
    • Jun.
    • ∞ fuzzy output feedback control for nonlinear uncertain systems: LMI approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 3, pp. 249-265, Jun. 2000.
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.3 , pp. 249-265
    • Chen, B.-S.1    Tseng, C.-S.2    Wang, H.-C.3
  • 43
    • 0041844993 scopus 로고    scopus 로고
    • PENNON: A code for convex nonlinear and semidefinite programming
    • M. Kocłvara and M. Stingl, "PENNON: a code for convex nonlinear and semidefinite programming," Optim. Method Softw., vol. 18, pp. 317-333, 2003.
    • (2003) Optim. Method Softw. , vol.18 , pp. 317-333
    • Kocłvara, M.1    Stingl, M.2
  • 45
    • 0346703284 scopus 로고    scopus 로고
    • A new discrete-time robust stability condition
    • M. de Oliveira, J. Bernussou, and J. Geromel, "A new discrete-time robust stability condition," Syst. Control Lett., vol. 37, pp. 261-265, 1999.
    • (1999) Syst. Control Lett. , vol.37 , pp. 261-265
    • De Oliveira, M.1    Bernussou, J.2    Geromel, J.3
  • 46
    • 34249982596 scopus 로고    scopus 로고
    • Dynamic control of a central pattern generator circuit: A computational model of the snail feeding network
    • D. V. Vavoulis, V. A. Straub, I. Kemenes, J. Feng, and P. R. Benjamin, "Dynamic control of a central pattern generator circuit: A computational model of the snail feeding network," Eur. J. Neurosci., vol. 25, pp. 2805-2818, 2007.
    • (2007) Eur. J. Neurosci. , vol.25 , pp. 2805-2818
    • Vavoulis, D.V.1    Straub, V.A.2    Kemenes, I.3    Feng, J.4    Benjamin, P.R.5
  • 47
    • 0036583661 scopus 로고    scopus 로고
    • White-noise simulation of the hodgkin-huxley model
    • T. Takahata, S. Tanabe, and K. Pakdaman, "White-noise simulation of the Hodgkin-Huxley model," Biol. Cybern., vol. 86, pp. 403-417, 2002.
    • (2002) Biol. Cybern. , vol.86 , pp. 403-417
    • Takahata, T.1    Tanabe, S.2    Pakdaman, K.3
  • 48
    • 0242524497 scopus 로고    scopus 로고
    • Enhancement of synchronization in a hybrid neural circuit by spike-timing dependent plasticity
    • T. Nowotny, V. P. Zhigulin, A. I. Selverston, H. D. I. Abarbanel, and M. I. Rabinovich, "Enhancement of synchronization in a hybrid neural circuit by spike-timing dependent plasticity," J. Neurosci., vol. 23, no. 30, pp. 9776-9785, 2003.
    • (2003) J. Neurosci. , vol.23 , Issue.30 , pp. 9776-9785
    • Nowotny, T.1    Zhigulin, V.P.2    Selverston, A.I.3    Abarbanel, H.D.I.4    Rabinovich, M.I.5
  • 49
    • 34250868933 scopus 로고    scopus 로고
    • T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems
    • Jun.
    • T.-H. S. Li and S.-H. Tsai, "T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 15, no. 3, pp. 494-506, Jun. 2007.
    • (2007) IEEE Trans. Fuzzy Syst. , vol.15 , Issue.3 , pp. 494-506
    • Li, T.-H.S.1    Tsai, S.-H.2
  • 50
    • 34147132661 scopus 로고    scopus 로고
    • Composite fuzzy control of nonlinear singularly perturbed systems
    • Apr.
    • T.-H. S. Li and K.-J. Lin, "Composite fuzzy control of nonlinear singularly perturbed systems," IEEE Trans. Fuzzy Syst., vol. 15, no. 2, pp. 176-187, Apr. 2007.
    • (2007) IEEE Trans. Fuzzy Syst. , vol.15 , Issue.2 , pp. 176-187
    • Li, T.-H.S.1    Lin, K.-J.2
  • 56
    • 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
  • 57
    • 0030214487 scopus 로고    scopus 로고
    • Stability analysis and design for a class of continuous-time fuzzy control systems
    • S. G. Cao, N. W. Rees, and G. Feng, "Analysis and design of a class of continuous time fuzzy control systems," Int. J. Control, vol. 64, pp. 1069-1087, 1996. (Pubitemid 126519438)
    • (1996) International Journal of Control , vol.64 , Issue.6 , pp. 1069-1087
    • Cao, S.G.1    Rees, N.W.2    Feng, G.3
  • 58
    • 25444490099 scopus 로고    scopus 로고
    • Relaxed stability and stabilization conditions for a T-S fuzzy discrete system
    • W.-J. Wang and C.-H. Sun, "Relaxed stability and stabilization conditions for a T-S fuzzy discrete system," Fuzzy Sets Syst., vol. 156, no. 2, pp. 208-225, 2005.
    • (2005) Fuzzy Sets Syst. , vol.156 , Issue.2 , pp. 208-225
    • Wang, W.-J.1    Sun, C.-H.2
  • 59
    • 4844221238 scopus 로고    scopus 로고
    • A relaxed stability criterion for T-S fuzzy discrete systems
    • Sep.
    • W.-J. Wang and C.-H. Sun, "A relaxed stability criterion for T-S fuzzy discrete systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 34, no. 5, pp. 2155-2158, Sep. 2004.
    • (2004) IEEE Trans. Syst., Man, Cybern. B, Cybern. , vol.34 , Issue.5 , pp. 2155-2158
    • Wang, W.-J.1    Sun, C.-H.2
  • 60
    • 0021600661 scopus 로고
    • Convergence of method of lines approximations to partial differential equations
    • J. G. Verwer and J. M. Sanz-Serna, "Convergence of method of lines approximations to partial differential equations," Computing, vol. 33, pp. 297-313, 1984.
    • (1984) Computing , vol.33 , pp. 297-313
    • Verwer, J.G.1    Sanz-Serna, J.M.2


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