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Volumn 35, Issue 4, 2011, Pages 1969-1982

Identification of multiple-input single-output Hammerstein models using Bezier curves and Bernstein polynomials

Author keywords

Bezier Bernstein polynomial functions; Hammerstein model; Levenberg Marquart algorithm; System identification

Indexed keywords

BERNSTEIN BASIS; BERNSTEIN POLYNOMIAL; BEZIER CURVE; DE CASTELJAU ALGORITHMS; HAMMERSTEIN MODEL; HYBRID SCHEME; IDENTIFICATION METHOD; LEAST SQUARES METHODS; LEVENBERG-MARQUART ALGORITHM; MULTIPLE INPUT SINGLE OUTPUTS; NONLINEAR STATIC FUNCTION; SYSTEM IDENTIFICATIONS;

EID: 78650264100     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.11.008     Document Type: Article
Times cited : (32)

References (32)
  • 1
    • 0033880373 scopus 로고    scopus 로고
    • Gray-box identification of block-oriented nonlinear models
    • Pearson R.K., Pottman M. Gray-box identification of block-oriented nonlinear models. J. Process Control 2000, 10(4):301-315.
    • (2000) J. Process Control , vol.10 , Issue.4 , pp. 301-315
    • Pearson, R.K.1    Pottman, M.2
  • 2
    • 0027662333 scopus 로고
    • Integration of multilayer perception neural networks and linear dynamic models: a Hammerstein modeling approach
    • Su H.T., McAvoy T.J. Integration of multilayer perception neural networks and linear dynamic models: a Hammerstein modeling approach. Ind. Eng. Chem. Res. 1993, 26:1927-1936.
    • (1993) Ind. Eng. Chem. Res. , vol.26 , pp. 1927-1936
    • Su, H.T.1    McAvoy, T.J.2
  • 3
    • 0035367248 scopus 로고    scopus 로고
    • Automatic nonlinear auto-tuning method for Hammerstein modeling of electrical drives
    • Balestrino A., Landi A., Ould-Zmirli M., Sani L. Automatic nonlinear auto-tuning method for Hammerstein modeling of electrical drives. IEEE Trans. Ind. Electron. 2001, 48(3):645-655.
    • (2001) IEEE Trans. Ind. Electron. , vol.48 , Issue.3 , pp. 645-655
    • Balestrino, A.1    Landi, A.2    Ould-Zmirli, M.3    Sani, L.4
  • 4
    • 0037454060 scopus 로고    scopus 로고
    • A continuous-time nonlinear dynamic predictive modeling method for Hammerstein processes
    • Rollins D.K., Bhandari N., Bassily A.M., Colver G.M., Chin S.T. A continuous-time nonlinear dynamic predictive modeling method for Hammerstein processes. Ind. Eng. Chem. Res. 2003, 42(4):860-872.
    • (2003) Ind. Eng. Chem. Res. , vol.42 , Issue.4 , pp. 860-872
    • Rollins, D.K.1    Bhandari, N.2    Bassily, A.M.3    Colver, G.M.4    Chin, S.T.5
  • 5
    • 33947177631 scopus 로고    scopus 로고
    • Modelling of PH process using wavenet based Hammerstein model
    • Smith J.G., Kamat S., Madhavan K.P. Modelling of PH process using wavenet based Hammerstein model. J. Process Control 2007, 17:551-561.
    • (2007) J. Process Control , vol.17 , pp. 551-561
    • Smith, J.G.1    Kamat, S.2    Madhavan, K.P.3
  • 6
    • 1642430572 scopus 로고    scopus 로고
    • Identification of Hammerstein models with cubic spline nonlinearities
    • Dempsey E.G., Westwick D.T. Identification of Hammerstein models with cubic spline nonlinearities. IEEE Trans. Biomed. Eng. 2004, 51(2):237-245.
    • (2004) IEEE Trans. Biomed. Eng. , vol.51 , Issue.2 , pp. 237-245
    • Dempsey, E.G.1    Westwick, D.T.2
  • 7
    • 0034442728 scopus 로고    scopus 로고
    • Identification of a Hammerstein model of the Stretch reflex EMG using separable Least Squares, Proc. 22nd EMBS Int Conf.
    • D.T. Westwick, R.E. Kearney, Identification of a Hammerstein model of the Stretch reflex EMG using separable Least Squares, Proc. 22nd EMBS Int Conf. (2000) 1901-1904.
    • (2000) , pp. 1901-1904
    • Westwick, D.T.1    Kearney, R.E.2
  • 8
    • 0032147127 scopus 로고    scopus 로고
    • Investigation of Hammerstein hypothesis in the modelling of electrically stimulated muscle
    • Hunt K.J., Munih M., Donaldson N.N., Barr F.M.D. Investigation of Hammerstein hypothesis in the modelling of electrically stimulated muscle. IEEE Trans. Biomed. Eng. 1998, 45(8):998-1009.
    • (1998) IEEE Trans. Biomed. Eng. , vol.45 , Issue.8 , pp. 998-1009
    • Hunt, K.J.1    Munih, M.2    Donaldson, N.N.3    Barr, F.M.D.4
  • 10
    • 0031258872 scopus 로고    scopus 로고
    • A nonparametric polynomial identification algorithm for the Hammerstein system
    • Lang Z.Q. A nonparametric polynomial identification algorithm for the Hammerstein system. IEEE Trans. Autom. Control 1997, 42:1435-1441.
    • (1997) IEEE Trans. Autom. Control , vol.42 , pp. 1435-1441
    • Lang, Z.Q.1
  • 11
    • 0036858769 scopus 로고    scopus 로고
    • Stochastic approximation in nonparametric identification of Hammerstein systems
    • Greblicki W. Stochastic approximation in nonparametric identification of Hammerstein systems. IEEE Trans. Autom. Control 2002, 47(11):1800-1810.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.11 , pp. 1800-1810
    • Greblicki, W.1
  • 12
    • 22344449915 scopus 로고    scopus 로고
    • Identification of Hammerstein nonlinear ARMAX systems
    • Ding F., Chen T. Identification of Hammerstein nonlinear ARMAX systems. Automatica 2005, 41:1479-1489.
    • (2005) Automatica , vol.41 , pp. 1479-1489
    • Ding, F.1    Chen, T.2
  • 13
    • 79551472381 scopus 로고    scopus 로고
    • Identification methods for Hammerstein nonlinear systems
    • 10.1016, j.dsp.2010.06.006
    • Ding F., Liu X.P., Liu G. Identification methods for Hammerstein nonlinear systems. Digit. Signal Process. 2010, 10.1016, j.dsp.2010.06.006.
    • (2010) Digit. Signal Process.
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 14
    • 33947233313 scopus 로고    scopus 로고
    • Auxiliary model-based least-squares identification methods for Hammerstein output-error systems
    • Ding F., Shi Y., Chen T. Auxiliary model-based least-squares identification methods for Hammerstein output-error systems. Syst. Control Lett. 2007, 56:373-380.
    • (2007) Syst. Control Lett. , vol.56 , pp. 373-380
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 15
    • 77950862482 scopus 로고    scopus 로고
    • Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems
    • Wang D., Chu Y., Ding F. Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems. Comput. Math. Appl. 2010, 59(9):3092-3098.
    • (2010) Comput. Math. Appl. , vol.59 , Issue.9 , pp. 3092-3098
    • Wang, D.1    Chu, Y.2    Ding, F.3
  • 16
    • 77953128333 scopus 로고    scopus 로고
    • Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
    • Wang D., Chu Y., Yang G., Ding F. Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems. Math. Comput. Model. 2010, 52(1-2):309-317.
    • (2010) Math. Comput. Model. , vol.52 , Issue.1-2 , pp. 309-317
    • Wang, D.1    Chu, Y.2    Yang, G.3    Ding, F.4
  • 17
    • 34250812544 scopus 로고    scopus 로고
    • Hammerstein model identification algorithm using Bezier-Bernstein approximation
    • Hong X., Mitchell R.J. Hammerstein model identification algorithm using Bezier-Bernstein approximation. IET Control Theory Appl. 2007, 1(4):1149-1159.
    • (2007) IET Control Theory Appl. , vol.1 , Issue.4 , pp. 1149-1159
    • Hong, X.1    Mitchell, R.J.2
  • 18
    • 17644398242 scopus 로고    scopus 로고
    • Decoupling PI controller design for a normal conducting RF cavity using a recursive Levenberg-Marquart algorithm
    • Kwon S., Lynch M., Prokop M. Decoupling PI controller design for a normal conducting RF cavity using a recursive Levenberg-Marquart algorithm. IEEE Trans. Nucl. Sci. 2005, 52(1):440-449.
    • (2005) IEEE Trans. Nucl. Sci. , vol.52 , Issue.1 , pp. 440-449
    • Kwon, S.1    Lynch, M.2    Prokop, M.3
  • 19
    • 70350427670 scopus 로고    scopus 로고
    • A novel cutting force modelling method for cylindrical end mill
    • Wan M., Zhang W., Dang J., Yang Y. A novel cutting force modelling method for cylindrical end mill. Appl. Math. Model. 2010, 34:823-836.
    • (2010) Appl. Math. Model. , vol.34 , pp. 823-836
    • Wan, M.1    Zhang, W.2    Dang, J.3    Yang, Y.4
  • 20
    • 0034229773 scopus 로고    scopus 로고
    • Generalized neurofuzzy network modeling algorithms using Bezier-Bernstein polynomial functions and additive decomposition
    • Hong X., Harris C.J. Generalized neurofuzzy network modeling algorithms using Bezier-Bernstein polynomial functions and additive decomposition. IEEE Trans. Neural Networks 2000, 11:889-902.
    • (2000) IEEE Trans. Neural Networks , vol.11 , pp. 889-902
    • Hong, X.1    Harris, C.J.2
  • 21
    • 0028744839 scopus 로고
    • Modified Bernstein polynomial and their connectionist interpretation
    • Shin Y. Modified Bernstein polynomial and their connectionist interpretation. Proc. IEEE World Congress on Computational Intelligence 1994, 3:1433-1438.
    • (1994) Proc. IEEE World Congress on Computational Intelligence , vol.3 , pp. 1433-1438
    • Shin, Y.1
  • 22
    • 77954015236 scopus 로고    scopus 로고
    • Analytical modeling of active magnetic bearing geometry
    • Pilat A. Analytical modeling of active magnetic bearing geometry. Appl. Math. Model. 2010, 34:3805-3816.
    • (2010) Appl. Math. Model. , vol.34 , pp. 3805-3816
    • Pilat, A.1
  • 25
    • 7244229478 scopus 로고    scopus 로고
    • A note on the connection between Bezier curves and linear optimal control
    • Egerstedt Magnus B., Martin Clyde F. A note on the connection between Bezier curves and linear optimal control. IEEE Trans. Autom. Control 2004, 49(10):1728-1731.
    • (2004) IEEE Trans. Autom. Control , vol.49 , Issue.10 , pp. 1728-1731
    • Egerstedt, M.B.1    Martin, C.F.2
  • 26
    • 78650274771 scopus 로고    scopus 로고
    • A new model for prediction the strain field and extrusion pressure in ECAE process of circular cross section
    • Narooi K., Taheri A.K. A new model for prediction the strain field and extrusion pressure in ECAE process of circular cross section. Appl. Math. Model. 2010, 34:1901-1917.
    • (2010) Appl. Math. Model. , vol.34 , pp. 1901-1917
    • Narooi, K.1    Taheri, A.K.2
  • 27
    • 0032021831 scopus 로고    scopus 로고
    • Robustness analysis of polynomial parameter dependency using Bernstein expansion
    • Zettler M., Garloff J. Robustness analysis of polynomial parameter dependency using Bernstein expansion. IEEE Trans. Autom. Control 1998, 43(3):425-431.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.3 , pp. 425-431
    • Zettler, M.1    Garloff, J.2
  • 28
    • 0000873069 scopus 로고
    • A method for the solution of certain non-linear problems in least squares
    • Levenberg K. A method for the solution of certain non-linear problems in least squares. Q. Appl. Math. 1944, 2(2):164-168.
    • (1944) Q. Appl. Math. , vol.2 , Issue.2 , pp. 164-168
    • Levenberg, K.1
  • 29
    • 0000169232 scopus 로고
    • An algorithm for the least-squares estimation of nonlinear parameters
    • Marquardt D. An algorithm for the least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 1963, 11(2):431-441.
    • (1963) SIAM J. Appl. Math. , vol.11 , Issue.2 , pp. 431-441
    • Marquardt, D.1
  • 30
    • 78650283062 scopus 로고    scopus 로고
    • Methods for non-linear least squares problems. Technical University of Denmark, Lecture notes. Available from
    • K. Madsen, H. Nielsen, O. Tingleff, Methods for non-linear least squares problems. Technical University of Denmark, 2004. Lecture notes. Available from: http://www.imm.dtu.dk/courses/02611/nllsq.pdf.
    • (2004)
    • Madsen, K.1    Nielsen, H.2    Tingleff, O.3
  • 31
    • 0012644896 scopus 로고
    • Problems related to unconstrained optimization
    • Academic Press, London & New York, W. Murray (Ed.)
    • Powell M.J.D. Problems related to unconstrained optimization. Numerical Methods for Unconstrained Optimisation 1972, 29-55. Academic Press, London & New York. W. Murray (Ed.).
    • (1972) Numerical Methods for Unconstrained Optimisation , pp. 29-55
    • Powell, M.J.D.1
  • 32
    • 0026111055 scopus 로고
    • Use of Hammerstein models in identification of nonlinear systems
    • Eskinat E., Johnson S.H., Luyben W.L. Use of Hammerstein models in identification of nonlinear systems. Am. Inst. Chem. Eng. J. 1991, 37:255-268.
    • (1991) Am. Inst. Chem. Eng. J. , vol.37 , pp. 255-268
    • Eskinat, E.1    Johnson, S.H.2    Luyben, W.L.3


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