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Volumn 46, Issue 4, 2010, Pages 647-656

Identification of nonlinear systems using Polynomial Nonlinear State Space models

Author keywords

Best linear approximation; Multivariable systems; Nonlinear systems; System identification

Indexed keywords

BEST LINEAR APPROXIMATION; BEST LINEAR APPROXIMATIONS; IDENTIFICATION PROCEDURE; INITIAL ESTIMATE; NON-LINEAR MODELLING; NONLINEAR STATE SPACE; NONLINEAR STATE SPACE MODELS; PHYSICAL SYSTEMS; SYSTEM IDENTIFICATIONS; SYSTEM UNDER TEST;

EID: 77949310639     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.01.001     Document Type: Article
Times cited : (256)

References (36)
  • 2
    • 0022150259 scopus 로고
    • Fading memory and the problem of approximating nonlinear operators with Volterra series
    • Boyd S., and Chua L. Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Transactions on Circuits and Systems 32 11 (1985) 1150-1161
    • (1985) IEEE Transactions on Circuits and Systems , vol.32 , Issue.11 , pp. 1150-1161
    • Boyd, S.1    Chua, L.2
  • 3
    • 0024631931 scopus 로고
    • Representations of non-linear systems: The NARMAX model
    • Chen S., and Billings S.A. Representations of non-linear systems: The NARMAX model. International Journal of Control 49 3 (1989) 1013-1032
    • (1989) International Journal of Control , vol.49 , Issue.3 , pp. 1013-1032
    • Chen, S.1    Billings, S.A.2
  • 4
    • 0034845537 scopus 로고    scopus 로고
    • Chrzan, M. J., & Carlson, J. D. (2001). MR fluid sponge devices and their use in vibration control of washing machines. 4331. pp. 370-378.
    • Chrzan, M. J., & Carlson, J. D. (2001). MR fluid sponge devices and their use in vibration control of washing machines. 4331. pp. 370-378.
  • 6
    • 34548492246 scopus 로고    scopus 로고
    • Measuring a linear approximation to weakly nonlinear MIMO systems
    • Dobrowiecki T., and Schoukens J. Measuring a linear approximation to weakly nonlinear MIMO systems. Automatica 43 10 (2007) 1737-1751
    • (2007) Automatica , vol.43 , Issue.10 , pp. 1737-1751
    • Dobrowiecki, T.1    Schoukens, J.2
  • 7
    • 34648845040 scopus 로고    scopus 로고
    • Ph.D. thesis. Linkoping University, Linkoping, Sweden
    • Enqvist, M. (2005). Linear models of nonlinear systems. Ph.D. thesis. Linkoping University, Linkoping., Sweden..
    • (2005) Linear models of nonlinear systems
    • Enqvist, M.1
  • 8
    • 13244284895 scopus 로고    scopus 로고
    • Linear approximations of nonlinear FIR systems for separable input processes
    • Enqvist M., and Ljung L. Linear approximations of nonlinear FIR systems for separable input processes. Automatica 41 3 (2005) 459-473
    • (2005) Automatica , vol.41 , Issue.3 , pp. 459-473
    • Enqvist, M.1    Ljung, L.2
  • 12
    • 0004178386 scopus 로고    scopus 로고
    • Prentice Hall, Upper Saddle River, New Jersey
    • Khalil H.K. Nonlinear systems. 2nd ed. (1996), Prentice Hall, Upper Saddle River, New Jersey
    • (1996) Nonlinear systems. 2nd ed.
    • Khalil, H.K.1
  • 13
    • 0000873069 scopus 로고
    • A method for the solution of certain problems in least squares
    • Levenberg K. A method for the solution of certain problems in least squares. Quarterly of Applied Mathematics 2 (1944) 164-168
    • (1944) Quarterly of Applied Mathematics , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 15
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal of Applied Mathematics 11 (1963) 431-441
    • (1963) SIAM Journal of Applied Mathematics , vol.11 , pp. 431-441
    • Marquardt, D.1
  • 17
    • 0025399567 scopus 로고
    • Identification and control of dynamical systems using neural networks
    • Narendra K.S., and Parthasarathy K. Identification and control of dynamical systems using neural networks. IEEE Transactions on Neural Networks 1 1 (1990) 4-27
    • (1990) IEEE Transactions on Neural Networks , vol.1 , Issue.1 , pp. 4-27
    • Narendra, K.S.1    Parthasarathy, K.2
  • 19
    • 0036681096 scopus 로고    scopus 로고
    • Frequency-domain subspace system identification using non-parametric noise models
    • Pintelon R. Frequency-domain subspace system identification using non-parametric noise models. Automatica 38 8 (2002) 1295-1311
    • (2002) Automatica , vol.38 , Issue.8 , pp. 1295-1311
    • Pintelon, R.1
  • 22
    • 0018015137 scopus 로고
    • Modeling by shortest data description
    • Rissanen J. Modeling by shortest data description. Automatica 14 5 (1978) 465-471
    • (1978) Automatica , vol.14 , Issue.5 , pp. 465-471
    • Rissanen, J.1
  • 26
    • 27844600180 scopus 로고    scopus 로고
    • Analysis of windowing/leakage effects in frequency response function measurements
    • Schoukens J., Rolain Y., and Pintelon R. Analysis of windowing/leakage effects in frequency response function measurements. Automatica 42 1 (2006) 27-38
    • (2006) Automatica , vol.42 , Issue.1 , pp. 27-38
    • Schoukens, J.1    Rolain, Y.2    Pintelon, R.3
  • 28
    • 0029483769 scopus 로고
    • Nonlinear black-box modeling in system identification: A unified overview
    • Sjoberg J., Zhang Q., Ljung L., Benveniste A., Delyon B., Glorennec P.-Y., et al. Nonlinear black-box modeling in system identification: A unified overview. Automatica 31 12 (1995) 1691-1724
    • (1995) Automatica , vol.31 , Issue.12 , pp. 1691-1724
    • Sjoberg, J.1    Zhang, Q.2    Ljung, L.3    Benveniste, A.4    Delyon, B.5    Glorennec, P.-Y.6
  • 31
    • 0029342651 scopus 로고
    • Nonlinear system identification using neural state-space models, applicable to robust-control design
    • Suykens J.A.K., De Moor B., and Vandewalle J. Nonlinear system identification using neural state-space models, applicable to robust-control design. International Journal of Control 62 1 (1995) 129-152
    • (1995) International Journal of Control , vol.62 , Issue.1 , pp. 129-152
    • Suykens, J.A.K.1    De Moor, B.2    Vandewalle, J.3
  • 33
    • 0031634276 scopus 로고    scopus 로고
    • A review of identification in continuous-time systems
    • Unbehauen H., and Rao G.P. A review of identification in continuous-time systems. Annual Reviews in Control 22 (1998) 145-171
    • (1998) Annual Reviews in Control , vol.22 , pp. 145-171
    • Unbehauen, H.1    Rao, G.P.2
  • 35
    • 77949300955 scopus 로고    scopus 로고
    • From MathWorld, A Wolfram Web Resource
    • Weisstein, E. W. (2009). Multinomial series. From MathWorld - A Wolfram Web Resource. http://mathworld.wolfram.com/MultinomialSeries.html.
    • (2009) Multinomial series
    • Weisstein, E.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.