메뉴 건너뛰기




Volumn 19, Issue 5, 2008, Pages 795-807

A Galerkin/neural-network-based design of guaranteed cost control for nonlinear distributed parameter systems

Author keywords

Distributed parameter systems; Galerkin method; Guaranteed cost control (GCC); Linear matrix inequality (LMI); Neural network; Stability

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATHEMATICAL OPERATORS; NEURAL NETWORKS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 44349193545     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.912592     Document Type: Article
Times cited : (44)

References (47)
  • 3
    • 0018444414 scopus 로고
    • Feedback control of linear diffusion processes
    • M. J. Balas, "Feedback control of linear diffusion processes," Int. J. Control, vol. 29, pp. 523-533, 1979.
    • (1979) Int. J. Control , vol.29 , pp. 523-533
    • Balas, M.J.1
  • 4
    • 0020706717 scopus 로고
    • The Galerkin method and feedback control of linear distributed parameter systems
    • M. J. Balas, "The Galerkin method and feedback control of linear distributed parameter systems," J. Math. Anal. Appl., vol. 91, pp. 527-546, 1983.
    • (1983) J. Math. Anal. Appl , vol.91 , pp. 527-546
    • Balas, M.J.1
  • 5
    • 0020088061 scopus 로고
    • Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
    • Feb
    • R. F. Curtain, "Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input," IEEE Trans. Autom. Control, vol. AC-27, no. 1, pp. 98-104, Feb. 1982.
    • (1982) IEEE Trans. Autom. Control , vol.AC-27 , Issue.1 , pp. 98-104
    • Curtain, R.F.1
  • 6
    • 33746294401 scopus 로고    scopus 로고
    • Predictive control of parabolic PDEs with boundary control actuation
    • S. Dubljevic and P. D. Christofides, "Predictive control of parabolic PDEs with boundary control actuation," Comput. Chem. Eng., vol. 61, pp. 6239-6248, 2006.
    • (2006) Comput. Chem. Eng , vol.61 , pp. 6239-6248
    • Dubljevic, S.1    Christofides, P.D.2
  • 7
    • 0029713403 scopus 로고    scopus 로고
    • P. D. Christofides and P. Daoutidis, Nonlinear control of diffusion-convection- reaction processes, Comput. Chem. Eng., 20, no. Suppl., pp. S1071-S1076, 1996.
    • P. D. Christofides and P. Daoutidis, "Nonlinear control of diffusion-convection- reaction processes," Comput. Chem. Eng., vol. 20, no. Suppl., pp. S1071-S1076, 1996.
  • 8
    • 0031366767 scopus 로고    scopus 로고
    • Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
    • P. D. Christofides and P. Daoutidis, "Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds," J. Math. Anal. Appl., vol. 216, pp. 398-420, 1997.
    • (1997) J. Math. Anal. Appl , vol.216 , pp. 398-420
    • Christofides, P.D.1    Daoutidis, P.2
  • 9
    • 0032555622 scopus 로고    scopus 로고
    • Robust control of parabolic PDE Systems
    • P.D. Christofides, "Robust control of parabolic PDE Systems," Chem. Eng. Sci., vol. 53, 2949-2965, 1998.
    • (1998) Chem. Eng. Sci , vol.53 , pp. 2949-2965
    • Christofides, P.D.1
  • 10
    • 0037399946 scopus 로고    scopus 로고
    • Analysis and control of parabolic PDE systems with input constraints
    • N. H. El-Farra, A. Armaou, and P. D. Christofides, "Analysis and control of parabolic PDE systems with input constraints," Automatica vol. 39, pp. 715-725, 2003.
    • (2003) Automatica , vol.39 , pp. 715-725
    • El-Farra, N.H.1    Armaou, A.2    Christofides, P.D.3
  • 11
    • 0035976948 scopus 로고    scopus 로고
    • Low-order control-relevant models for a class of distributed parameter systems
    • K. A. Hoo and D. Zheng, "Low-order control-relevant models for a class of distributed parameter systems," Chem. Eng. Sci., vol. 56, pp. 6683-6710, 2001.
    • (2001) Chem. Eng. Sci , vol.56 , pp. 6683-6710
    • Hoo, K.A.1    Zheng, D.2
  • 12
    • 42549125588 scopus 로고    scopus 로고
    • H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints
    • to be published
    • H.-N. Wu and H.-X. Li, "H∞ fuzzy observer-based control for a class of nonlinear distributed parameter systems with control constraints," IEEE Trans. Fuzzy Syst., 2008, to be published.
    • (2008) IEEE Trans. Fuzzy Syst
    • Wu, H.-N.1    Li, H.-X.2
  • 13
    • 26244437005 scopus 로고    scopus 로고
    • Spectral approximation based intelligent modeling for a distributed thermal process
    • Sep
    • H. Deng, H.-X. Li, and G. Chen, "Spectral approximation based intelligent modeling for a distributed thermal process," IEEE Trans. Control Syst. Technol., vol. 13, no. 5, pp. 686-700, Sep. 2005.
    • (2005) IEEE Trans. Control Syst. Technol , vol.13 , Issue.5 , pp. 686-700
    • Deng, H.1    Li, H.-X.2    Chen, G.3
  • 14
    • 14644437036 scopus 로고    scopus 로고
    • Model-based integration of control and supervision for one kind of curing process
    • Jul
    • H.-X. Li, H. Deng, and J. Zhong, "Model-based integration of control and supervision for one kind of curing process," IEEE Trans. Electron. Packag. Manuf., vol. 27, no. 3, pp. 177-186, Jul. 2004.
    • (2004) IEEE Trans. Electron. Packag. Manuf , vol.27 , Issue.3 , pp. 177-186
    • Li, H.-X.1    Deng, H.2    Zhong, J.3
  • 17
    • 0030269757 scopus 로고    scopus 로고
    • Neural networks for control: Theory and practice
    • Oct
    • K. S. Narendra, "Neural networks for control: Theory and practice," Proc. IEEE, vol. 84, no. 10, pp. 1385-1406, Oct. 1996.
    • (1996) Proc. IEEE , vol.84 , Issue.10 , pp. 1385-1406
    • Narendra, K.S.1
  • 20
    • 0028446338 scopus 로고
    • Adaptively controlling nonlinear commuous-time systems using multilayer neural networks
    • Jun
    • F. C. Chen and C. C. Liu, "Adaptively controlling nonlinear commuous-time systems using multilayer neural networks," IEEE Trans. Autom. Control, vol. 39, no. 6, pp. 1306-1310, Jun. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.6 , pp. 1306-1310
    • Chen, F.C.1    Liu, C.C.2
  • 21
    • 0030108041 scopus 로고    scopus 로고
    • Multilayer neural-net robot controller with guaranteed tracking performance
    • Mar
    • F. L. Lewis, A. Yesildirek, and K. Liu, "Multilayer neural-net robot controller with guaranteed tracking performance," IEEE Trans. Neural Netw., vol. 7, no. 2, pp. 388-398, Mar. 1996.
    • (1996) IEEE Trans. Neural Netw , vol.7 , Issue.2 , pp. 388-398
    • Lewis, F.L.1    Yesildirek, A.2    Liu, K.3
  • 22
    • 15344350446 scopus 로고    scopus 로고
    • Direct adaptive controller for nonaffine nonlinear systems using self-structuring neural networks
    • Mar
    • J.-H. Park, S.-H. Huh, S.-H. Kim, S.-J. Seo, and G.T. Park, "Direct adaptive controller for nonaffine nonlinear systems using self-structuring neural networks," IEEE Trans. Neural Netw., vol. 16, no. 2, pp. 414-422, Mar. 2005.
    • (2005) IEEE Trans. Neural Netw , vol.16 , Issue.2 , pp. 414-422
    • Park, J.-H.1    Huh, S.-H.2    Kim, S.-H.3    Seo, S.-J.4    Park, G.T.5
  • 23
    • 33144464979 scopus 로고    scopus 로고
    • Neural network cont trol of a class of non-linear systems with actuator saturation
    • Mar
    • W. Gao and R. R. Selmic, "Neural network cont trol of a class of non-linear systems with actuator saturation," IEEE Trans. Neural Netw., vol. 17, no. 1, pp. 147-156, Mar. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.1 , pp. 147-156
    • Gao, W.1    Selmic, R.R.2
  • 24
    • 34047130343 scopus 로고    scopus 로고
    • Performance-oriented antiwindup for a class of linear control systems with augmented neural network controller
    • Mar
    • G. Herrmann, M. C. Turner, and I. Postlethwaite, "Performance-oriented antiwindup for a class of linear control systems with augmented neural network controller," IEEE Trans. Neural Netw., vol. 18, no. 2, pp. 449-465, Mar. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.2 , pp. 449-465
    • Herrmann, G.1    Turner, M.C.2    Postlethwaite, I.3
  • 25
    • 34547101708 scopus 로고    scopus 로고
    • Semiglobal ISpS disturbance attenuation with output tracking via direct adaptive design
    • Jul
    • S.S.Ge and T.-T. Han, "Semiglobal ISpS disturbance attenuation with output tracking via direct adaptive design," IEEE Trans. Neural Netw., vol. 18, no. 4, pp. 1129-1148, Jul. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.4 , pp. 1129-1148
    • Ge, S.S.1    Han, T.-T.2
  • 26
    • 34547137395 scopus 로고    scopus 로고
    • 1 neural network adaptive control architecture with guaranteed transient performance
    • 1 neural network adaptive control architecture with guaranteed transient performance," IEEE Trans. Neural Netw., vol. 18, no. 4, pp. 1160-1171, 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.4 , pp. 1160-1171
    • Cao, C.1    Hovakimyan, N.2
  • 27
    • 0031170885 scopus 로고    scopus 로고
    • q theory: A neural control framework with global asymptotic stability criteria
    • q theory: A neural control framework with global asymptotic stability criteria," Neural Netw., vol. 10, no. 4, pp. 615-637, 1997
    • (1997) Neural Netw , vol.10 , Issue.4 , pp. 615-637
    • Suykens, J.A.K.1    De Moor, B.2    Vandewalle, J.3
  • 28
    • 0033640676 scopus 로고    scopus 로고
    • Robust local stability of multilayer recurrent neural networks
    • Jan
    • J. A. K. Suykens, B. De Moor, and J. Vandewalle, "Robust local stability of multilayer recurrent neural networks," IEEE Trans. Neural Netw., vol. 11, no. 1, pp. 222-229, Jan. 2000.
    • (2000) IEEE Trans. Neural Netw , vol.11 , Issue.1 , pp. 222-229
    • Suykens, J.A.K.1    De Moor, B.2    Vandewalle, J.3
  • 29
    • 0036505996 scopus 로고    scopus 로고
    • Robust quasi-LPV control based on neural state-space models
    • Mar
    • J. D. Bendtsen and K. Trangbæk, "Robust quasi-LPV control based on neural state-space models," IEEE Trans. Neural Netw., vol. 13, no. 2, pp. 355-368, Mar. 2002.
    • (2002) IEEE Trans. Neural Netw , vol.13 , Issue.2 , pp. 355-368
    • Bendtsen, J.D.1    Trangbæk, K.2
  • 30
    • 0032648040 scopus 로고    scopus 로고
    • Lur'e systems with multilayer perceptron and recurrent neural networks: Absolute stability and dissipativity
    • Apr
    • J. A. K. Suykens, J. Vandewalle, and B. De Moor, "Lur'e systems with multilayer perceptron and recurrent neural networks: Absolute stability and dissipativity," IEEE Trans. Autom. Control, vol. 44, no. 4, pp. 770-774, Apr. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.4 , pp. 770-774
    • Suykens, J.A.K.1    Vandewalle, J.2    De Moor, B.3
  • 31
    • 19244380691 scopus 로고    scopus 로고
    • Comments on Lur'e systems with multilayer perceptron and recurrent neural networks: Absolute stability and dissipativity
    • Apr
    • J. D. Bendtsen and K. Trangbæk, "Comments on "Lur'e systems with multilayer perceptron and recurrent neural networks: Absolute stability and dissipativity"," IEEE Trans. Autom. Control, vol. 46, no. 4, pp. 671-671, Apr. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.4 , pp. 671-671
    • Bendtsen, J.D.1    Trangbæk, K.2
  • 32
    • 0036506134 scopus 로고    scopus 로고
    • Stability analysis of discrete-time recurrent neural networks
    • Mar
    • N. E. Barabanov and D. V. Prokhorov, "Stability analysis of discrete-time recurrent neural networks," IEEE Trans. Neural Netw. vol. 13, no. 2, pp. 292-303, Mar. 2002.
    • (2002) IEEE Trans. Neural Netw , vol.13 , Issue.2 , pp. 292-303
    • Barabanov, N.E.1    Prokhorov, D.V.2
  • 33
    • 0030142029 scopus 로고    scopus 로고
    • An approach to stability criteria of neural-network control systems
    • May
    • K. Tanaka, "An approach to stability criteria of neural-network control systems," IEEE Trans. Neural Netw., vol. 7, no. 3, pp. 629-642, May 1996.
    • (1996) IEEE Trans. Neural Netw , vol.7 , Issue.3 , pp. 629-642
    • Tanaka, K.1
  • 34
    • 0032207886 scopus 로고    scopus 로고
    • Neural-network-based control design: An LMI approach
    • Nov
    • S. Limanond and J.Si, "Neural-network-based control design: An LMI approach," IEEE Trans. Neural Netw., vol. 9, no. 6, pp. 1422-1429, Nov. 1998.
    • (1998) IEEE Trans. Neural Netw , vol.9 , Issue.6 , pp. 1422-1429
    • Limanond, S.1    Si, J.2
  • 35
    • 0035471808 scopus 로고    scopus 로고
    • An H∞ design approach for neural net-based control schemes
    • Oct
    • C.-L. Lin and T.-Y. Lin, "An H∞ design approach for neural net-based control schemes," IEEE Trans. Autom. Control, vol. 46, no. 10, pp. 1599-1605, Oct. 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.10 , pp. 1599-1605
    • Lin, C.-L.1    Lin, T.-Y.2
  • 36
    • 34548687453 scopus 로고    scopus 로고
    • Delayed standard neural network models for control systems
    • Sep
    • M. Liu, "Delayed standard neural network models for control systems," IEEE Trans. Neural Netw., vol. 18, no. 5, pp. 1376-1391, Sep. 2007.
    • (2007) IEEE Trans. Neural Netw , vol.18 , Issue.5 , pp. 1376-1391
    • Liu, M.1
  • 38
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs, NJ: Prentice-Hall
    • H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 40
    • 26044462949 scopus 로고    scopus 로고
    • LMI-based neurocontroller for state-feedback guaranteed cost control of discrete-time uncertain system
    • Aug
    • H. Mukaidani, Y. Ishii, N. Bu, Y. Tanaka, and T. Tsuji, "LMI-based neurocontroller for state-feedback guaranteed cost control of discrete-time uncertain system," IEICE Trans. Inf. Syst., vol. E88-D no. 8, pp. 1903-1911, Aug. 2005.
    • (2005) IEICE Trans. Inf. Syst , vol.E88-D , Issue.8 , pp. 1903-1911
    • Mukaidani, H.1    Ishii, Y.2    Bu, N.3    Tanaka, Y.4    Tsuji, T.5
  • 41
    • 0015384273 scopus 로고
    • Adaptive guaranteed cost control of systems with uncertain parameters
    • Aug
    • S. S. L. Chang and T. K. C. Peng, "Adaptive guaranteed cost control of systems with uncertain parameters," IEEE Trans. Autom. Control, vol. AC-17, no. 4, pp. 474-483, Aug. 1972.
    • (1972) IEEE Trans. Autom. Control , vol.AC-17 , Issue.4 , pp. 474-483
    • Chang, S.S.L.1    Peng, T.K.C.2
  • 42
    • 0028497130 scopus 로고
    • Optimal guaranteed cost control and filtering for uncertain linear systems
    • Sep
    • I. R. Petersen and D. C. McFarlane, "Optimal guaranteed cost control and filtering for uncertain linear systems," IEEE Trans. Autom. Control, vol. 39, no. 9, pp. 1971-1977, Sep. 1994.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.9 , pp. 1971-1977
    • Petersen, I.R.1    McFarlane, D.C.2
  • 43
    • 0030415759 scopus 로고    scopus 로고
    • Nonlinear optimal control: Alternatives to Hamilton-Jacobi equation
    • Kobe, Japan
    • Y. Huang and W.-M. Lu, "Nonlinear optimal control: Alternatives to Hamilton-Jacobi equation," in Proc. 35th IEEE Conf. Decision Control Kobe, Japan, 1996, pp. 3942-3947.
    • (1996) Proc. 35th IEEE Conf. Decision Control , pp. 3942-3947
    • Huang, Y.1    Lu, W.-M.2
  • 45
    • 0024866495 scopus 로고
    • On the approximate realization of continuous mappings by neural networks
    • K. Funahashi, "On the approximate realization of continuous mappings by neural networks," Neural Netw., vol. 2, no. 3, pp. 183-192, 1989.
    • (1989) Neural Netw , vol.2 , Issue.3 , pp. 183-192
    • Funahashi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.