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Volumn 48, Issue 6, 2009, Pages 3052-3058

Incremental modeling of nonlinear distributed parameter processes via spatiotemporal kernel series expansion

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED DYNAMICS; DISTRIBUTED PARAMETERS; EXPERIMENTAL DATUM; INCREMENTAL MODELING; LAGUERRE BASIS; MODELING APPROACHES; NONLINEAR DISTRIBUTED PARAMETER SYSTEMS; SATISFACTORY MODELING; SERIES EXPANSIONS; SPATIO-TEMPORAL MODELS; SPATIOTEMPORAL KERNELS; SPATIOTEMPORAL PROCESS; TIME SPACES; TRANSPORT-REACTION PROCESS; VOLTERRA KERNELS;

EID: 65349095585     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie801184a     Document Type: Article
Times cited : (10)

References (39)
  • 2
    • 26244437005 scopus 로고    scopus 로고
    • Spectral-approximation-based intelligent modeling for distributed thermal processes
    • Deng, H.; Li, H.-X.; Chen, G. Spectral-approximation-based intelligent modeling for distributed thermal processes. IEEE Trans. Control Syst. Technol. 2005, 13 (5), 686.
    • (2005) IEEE Trans. Control Syst. Technol , vol.13 , Issue.5 , pp. 686
    • Deng, H.1    Li, H.-X.2    Chen, G.3
  • 4
    • 0034689117 scopus 로고    scopus 로고
    • Finite-dimensional approximation and control of non-linear parabolic PDE systems
    • Baker, J.; Christofides, P. D. Finite-dimensional approximation and control of non-linear parabolic PDE systems. Int. J. Control 2000, 73 (5), 439.
    • (2000) Int. J. Control , vol.73 , Issue.5 , pp. 439
    • Baker, J.1    Christofides, P.D.2
  • 5
    • 0036899040 scopus 로고    scopus 로고
    • Dynamic optimization of dissipative PDE systems using nonlinear order reduction
    • Armaou, A.; Christofides, P. D. Dynamic optimization of dissipative PDE systems using nonlinear order reduction. Chem. Eng. Sci. 2002, 57 (24), 5083.
    • (2002) Chem. Eng. Sci , vol.57 , Issue.24 , pp. 5083
    • Armaou, A.1    Christofides, P.D.2
  • 7
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • Christofides, P. D.; Daoutidis, P. Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds. J. Math. Anal. Appl. 1997, 216 (2), 398.
    • (1997) J. Math. Anal. Appl , vol.216 , Issue.2 , pp. 398
    • Christofides, P.D.1    Daoutidis, P.2
  • 9
    • 0033993164 scopus 로고    scopus 로고
    • Direct parameter identification of distributed parameter systems
    • Coca, D.; Billings, S. A. Direct parameter identification of distributed parameter systems. Int. J. Syst. Sci. 2000, 31 (1), 11.
    • (2000) Int. J. Syst. Sci , vol.31 , Issue.1 , pp. 11
    • Coca, D.1    Billings, S.A.2
  • 10
    • 0036776616 scopus 로고    scopus 로고
    • Fitting parameters in partial differential equations from partially observed noisy data
    • Müller, T. G.; Timmer, J. Fitting parameters in partial differential equations from partially observed noisy data. Physica D 2002, 171 (1-2), 1.
    • (2002) Physica D , vol.171 , Issue.1-2 , pp. 1
    • Müller, T.G.1    Timmer, J.2
  • 11
    • 33748555533 scopus 로고    scopus 로고
    • Identification of partial differential equation models for continuous spatio-temporal dynamical systems
    • Guo, L. Z.; Billings, S. A. Identification of partial differential equation models for continuous spatio-temporal dynamical systems. IEEE Trans. Circuits Syst. II: Expr. Briefs 2006, 53 (8), 657.
    • (2006) IEEE Trans. Circuits Syst. II: Expr. Briefs , vol.53 , Issue.8 , pp. 657
    • Guo, L.Z.1    Billings, S.A.2
  • 12
    • 33745815164 scopus 로고    scopus 로고
    • Estimation of spatial derivatives and identification of continuous spatio-temporal dynamical systems
    • Guo, L. Z.; Billings, S. A.; Wei, H. L. Estimation of spatial derivatives and identification of continuous spatio-temporal dynamical systems. Int. J. Control 2006, 79 (9), 1118.
    • (2006) Int. J. Control , vol.79 , Issue.9 , pp. 1118
    • Guo, L.Z.1    Billings, S.A.2    Wei, H.L.3
  • 13
    • 0001540847 scopus 로고    scopus 로고
    • Fitting partial differential equations to space-time dynamics
    • Bär, M.; Hegger, R.; Kantz, H. Fitting partial differential equations to space-time dynamics. Phys. ReV. E 1999, 59 (1), 337.
    • (1999) Phys. ReV. E , vol.59 , Issue.1 , pp. 337
    • Bär, M.1    Hegger, R.2    Kantz, H.3
  • 14
    • 0035513376 scopus 로고    scopus 로고
    • Statistical approach to modeling of spatiotemporal dynamics
    • Mandelj, S.; Grabec, I.; Govekar, E. Statistical approach to modeling of spatiotemporal dynamics. Int. J. Bifurcation Chaos 2001, 11 (11), 2731.
    • (2001) Int. J. Bifurcation Chaos , vol.11 , Issue.11 , pp. 2731
    • Mandelj, S.1    Grabec, I.2    Govekar, E.3
  • 15
    • 0001766834 scopus 로고    scopus 로고
    • Prediction of spatiotemporal time series based on reconstructed local states
    • Parlitz, U.; Merkwirth, C. Prediction of spatiotemporal time series based on reconstructed local states. Phys. ReV. Lett. 2000, 84 (9), 1890.
    • (2000) Phys. ReV. Lett , vol.84 , Issue.9 , pp. 1890
    • Parlitz, U.1    Merkwirth, C.2
  • 16
    • 0035920781 scopus 로고    scopus 로고
    • Identification of coupled map lattice models of complex spatio-temporal patterns
    • Coca, D.; Billings, S. A. Identification of coupled map lattice models of complex spatio-temporal patterns. Phys. Lett. A 2001, 287 (1-2), 65.
    • (2001) Phys. Lett. A , vol.287 , Issue.1-2 , pp. 65
    • Coca, D.1    Billings, S.A.2
  • 17
    • 34247272880 scopus 로고    scopus 로고
    • State-space reconstruction and spatiotemporal prediction of lattice dynamical systems
    • Guo, L.; Billings, S. A. State-space reconstruction and spatiotemporal prediction of lattice dynamical systems. IEEE Trans. Autom. Control 2007, 52 (4), 622.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.4 , pp. 622
    • Guo, L.1    Billings, S.A.2
  • 18
    • 0036837014 scopus 로고    scopus 로고
    • Identification of finite dimensional models of infinite dimensional dynamical systems
    • Coca, D.; Billings, S. A. Identification of finite dimensional models of infinite dimensional dynamical systems. Automatica 2002, 38 (11), 1851.
    • (2002) Automatica , vol.38 , Issue.11 , pp. 1851
    • Coca, D.1    Billings, S.A.2
  • 19
    • 0030147710 scopus 로고    scopus 로고
    • Modeling of a fixed bed reactor using KL expansion and neural networks
    • Zhou, X.; Liu, L.; Dai, Y.; Yuan, W. Modeling of a fixed bed reactor using KL expansion and neural networks. Chem. Eng. Sci. 1996, 51 (10), 2179.
    • (1996) Chem. Eng. Sci , vol.51 , Issue.10 , pp. 2179
    • Zhou, X.1    Liu, L.2    Dai, Y.3    Yuan, W.4
  • 20
    • 3042634773 scopus 로고    scopus 로고
    • Modelling the dynamics of nonlinear partial differential equations using neural networks
    • Smaoui, N.; Al-Enezi, S. Modelling the dynamics of nonlinear partial differential equations using neural networks. J. Comput. Appl. Math. 2004, 170 (1), 27.
    • (2004) J. Comput. Appl. Math , vol.170 , Issue.1 , pp. 27
    • Smaoui, N.1    Al-Enezi, S.2
  • 21
    • 0029732249 scopus 로고    scopus 로고
    • The use of the Karhunen-Loe've decomposition for the modeling of distributed parameter systems
    • Park, H. M.; Cho, D. H. The use of the Karhunen-Loe've decomposition for the modeling of distributed parameter systems. Chem. Eng. Sci. 1996, 51 (1), 81.
    • (1996) Chem. Eng. Sci , vol.51 , Issue.1 , pp. 81
    • Park, H.M.1    Cho, D.H.2
  • 22
    • 0037103391 scopus 로고    scopus 로고
    • Low-order model identification for implementable control solutions of distributed parameter system
    • Zheng, D.; Hoo, K. A. Low-order model identification for implementable control solutions of distributed parameter system. Comput. Chem. Eng. 2002, 26 (7-8), 1049.
    • (2002) Comput. Chem. Eng , vol.26 , Issue.7-8 , pp. 1049
    • Zheng, D.1    Hoo, K.A.2
  • 23
    • 0022150259 scopus 로고
    • Fading memory and the problem of approximating nonlinear operators with Volterra series
    • Boyd, S.; Chua, L. O. Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Trans. Circuits Syst. 1985, 32 (11), 1150.
    • (1985) IEEE Trans. Circuits Syst , vol.32 , Issue.11 , pp. 1150
    • Boyd, S.1    Chua, L.O.2
  • 26
    • 0029310041 scopus 로고
    • Nonlinear modelbased control using second-order Volterra models
    • Doyle, F. J., III; Ogunnaike, B. A.; Pearson, R. K. Nonlinear modelbased control using second-order Volterra models. Automatica 1995, 31 (5), 697.
    • (1995) Automatica , vol.31 , Issue.5 , pp. 697
    • Doyle III, F.J.1    Ogunnaike, B.A.2    Pearson, R.K.3
  • 28
    • 0001662376 scopus 로고
    • Identification and control of distributed parameter systems by means of the singular value decomposition
    • Gay, D. H.; Ray, W. H. Identification and control of distributed parameter systems by means of the singular value decomposition. Chem. Eng. Sci. 1995, 50 (10), 1519.
    • (1995) Chem. Eng. Sci , vol.50 , Issue.10 , pp. 1519
    • Gay, D.H.1    Ray, W.H.2
  • 29
    • 0037139159 scopus 로고    scopus 로고
    • Low-order model identification of distributed parameter systems by a combination of singular value decomposition and the Karhunen-Loe've expansion
    • Zheng, D.; Hoo, K. A.; Piovoso, M. J. Low-order model identification of distributed parameter systems by a combination of singular value decomposition and the Karhunen-Loe've expansion. Ind. Eng. Chem. Res. 2002, 41 (6), 1545.
    • (2002) Ind. Eng. Chem. Res , vol.41 , Issue.6 , pp. 1545
    • Zheng, D.1    Hoo, K.A.2    Piovoso, M.J.3
  • 30
    • 2342523368 scopus 로고    scopus 로고
    • System identification and model-based control for distributed parameter systems
    • Zheng, D.; Hoo, K. A. System identification and model-based control for distributed parameter systems. Comput. Chem. Eng. 2004, 28 (8), 1361.
    • (2004) Comput. Chem. Eng , vol.28 , Issue.8 , pp. 1361
    • Zheng, D.1    Hoo, K.A.2
  • 31
    • 0346497594 scopus 로고    scopus 로고
    • Volterra-Laguerre models for nonlinear process identification with application to a fluid catalytic cracking unit
    • Zheng, Q. S.; Zafiriou, E. Volterra-Laguerre models for nonlinear process identification with application to a fluid catalytic cracking unit. Ind. Eng. Chem. Res. 2004, 43 (2), 340.
    • (2004) Ind. Eng. Chem. Res , vol.43 , Issue.2 , pp. 340
    • Zheng, Q.S.1    Zafiriou, E.2
  • 32
    • 33847320071 scopus 로고    scopus 로고
    • Tailored sequence design for third-order Volterra model identification
    • Soni, A. S.; Parker, R. S. Tailored sequence design for third-order Volterra model identification. Ind. Eng. Chem. Res. 2007, 46 (3), 818.
    • (2007) Ind. Eng. Chem. Res , vol.46 , Issue.3 , pp. 818
    • Soni, A.S.1    Parker, R.S.2
  • 33
    • 0026157695 scopus 로고
    • System identification using Laguerre models
    • Wahlberg, B. System identification using Laguerre models. IEEE Trans. Autom. Control 1991, 36 (5), 551.
    • (1991) IEEE Trans. Autom. Control , vol.36 , Issue.5 , pp. 551
    • Wahlberg, B.1
  • 34
    • 0028449531 scopus 로고
    • System identification using Kautz models
    • Wahlberg, B. System identification using Kautz models. IEEE Trans. Autom. Control 1994, 39 (6), 1276.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.6 , pp. 1276
    • Wahlberg, B.1
  • 36
    • 1642276131 scopus 로고    scopus 로고
    • Optimal expansions of discrete-time Volterra models using Laguerre functions
    • Campello, R. J. G. B.; Favier, G.; Amaral, W. C. Optimal expansions of discrete-time Volterra models using Laguerre functions. Automatica 2004, 40 (5), 815.
    • (2004) Automatica , vol.40 , Issue.5 , pp. 815
    • Campello, R.J.G.B.1    Favier, G.2    Amaral, W.C.3
  • 37
    • 33846101066 scopus 로고    scopus 로고
    • Predictive output feedback control of parabolic partial differential equations (PDEs)
    • Dubljevic, S.; Christofides, P. D. Predictive output feedback control of parabolic partial differential equations (PDEs). Ind. Eng. Chem. Res. 2006, 45 (25), 8421.
    • (2006) Ind. Eng. Chem. Res , vol.45 , Issue.25 , pp. 8421
    • Dubljevic, S.1    Christofides, P.D.2
  • 39
    • 47249107792 scopus 로고    scopus 로고
    • A Karhunen-Loe've decomposition-based Wiener modeling approach for nonlinear distributed parameter processes
    • Qi, C. K.; Li, H.-X. A Karhunen-Loe've decomposition-based Wiener modeling approach for nonlinear distributed parameter processes. Ind. Eng. Chem. Res. 2008, 47 (12), 4184.
    • (2008) Ind. Eng. Chem. Res , vol.47 , Issue.12 , pp. 4184
    • Qi, C.K.1    Li, H.-X.2


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