메뉴 건너뛰기




Volumn 11, Issue 9, 1998, Pages 1645-1657

On-line identification of nonlinear systems using Volterra polynomial basis function neural networks

Author keywords

Growing network; Neural networks; Nonlinear system identification; Orthogonal least squares algorithm; Recursive weighting learning; Volterra polynomials

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); LEARNING ALGORITHMS; LEARNING SYSTEMS; LEAST SQUARES APPROXIMATIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; ONLINE SYSTEMS; POLYNOMIALS;

EID: 0032445796     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(98)00100-2     Document Type: Article
Times cited : (52)

References (42)
  • 1
    • 0001160588 scopus 로고
    • What size net gives valid generalization?
    • Baum E., Haussler D. What size net gives valid generalization? Neural Computation. 1(1):1989.
    • (1989) Neural Computation , vol.1 , Issue.1
    • Baum, E.1    Haussler, D.2
  • 2
    • 0019082388 scopus 로고
    • Identification of nonlinear systems - A survey
    • Billings S.A. Identification of nonlinear systems - a survey. IEE Proceedings, Part D. 127:1980;272-285.
    • (1980) IEE Proceedings, Part D , vol.127 , pp. 272-285
    • Billings, S.A.1
  • 3
    • 0002446451 scopus 로고
    • Neural networks and system identification
    • In K. Warwick et al. (Eds.) London: Peter Peregrinus
    • Billings, S.A., & Chen, S. (1992). Neural networks and system identification. In K. Warwick et al. (Eds.), Neural networks for systems and control. London: Peter Peregrinus (pp. 181-205).
    • (1992) Neural Networks for Systems and Control , pp. 181-205
    • Billings, S.A.1    Chen, S.2
  • 4
    • 0022787109 scopus 로고
    • A prediction-error and stepwise-regression estimation algorithm for non-linear systems
    • Billings S.A., Voon W.S.F. A prediction-error and stepwise-regression estimation algorithm for non-linear systems. International Journal of Control. 44(1):1986;803-822.
    • (1986) International Journal of Control , vol.44 , Issue.1 , pp. 803-822
    • Billings, S.A.1    Voon, W.S.F.2
  • 5
    • 0024685547 scopus 로고
    • Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator
    • Billings S.A., Chen S., Korenberg M.J. Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator. International Journal of Control. 49:1988;2157-2189.
    • (1988) International Journal of Control , vol.49 , pp. 2157-2189
    • Billings, S.A.1    Chen, S.2    Korenberg, M.J.3
  • 6
    • 0024067409 scopus 로고
    • Identification of nonlinear output-affine systems using an orthogonal least squares algorithm
    • Billings S.A., Korenberg M.J., Chen S. Identification of nonlinear output-affine systems using an orthogonal least squares algorithm. International Journal of Systems Science. 19:1989;1559-1568.
    • (1989) International Journal of Systems Science , vol.19 , pp. 1559-1568
    • Billings, S.A.1    Korenberg, M.J.2    Chen, S.3
  • 7
    • 0025420355 scopus 로고
    • A modified EW-RLS algorithm for systems with bounded disturbances
    • Canudas de Wit C., Carrillo J. A modified EW-RLS algorithm for systems with bounded disturbances. Automatica. 26:1990;599-606.
    • (1990) Automatica , vol.26 , pp. 599-606
    • Canudas De Wit, C.1    Carrillo, J.2
  • 8
    • 0029343956 scopus 로고
    • A fast orthogonal least squares algorithm for efficient subset model selection
    • Chen S., Wigger J. A fast orthogonal least squares algorithm for efficient subset model selection. IEEE Transactions on Signal Processing. 43(7):1995;1713-1715.
    • (1995) IEEE Transactions on Signal Processing , vol.43 , Issue.7 , pp. 1713-1715
    • Chen, S.1    Wigger, J.2
  • 10
    • 0020103099 scopus 로고
    • On the value of information in system identification - Bounded noise case
    • Fogel E., Huang Y.F. On the value of information in system identification - bounded noise case. Automatica. 18(2):1982;229-238.
    • (1982) Automatica , vol.18 , Issue.2 , pp. 229-238
    • Fogel, E.1    Huang, Y.F.2
  • 11
    • 0030479170 scopus 로고    scopus 로고
    • On line supervised adaptive tracking using radial basis function neural networks
    • Fung, C., Billings, S.A., & Luo, W. (1996) On line supervised adaptive tracking using radial basis function neural networks. Neural Networks 9, 1597-1617.
    • (1996) Neural Networks , vol.9 , pp. 1597-1617
    • Fung, C.1    Billings, S.A.2    Luo, W.3
  • 12
    • 0023207515 scopus 로고
    • A parameter estimation perspective of continuous time model reference adaptive control
    • Goodwin G.C., Mayne D.Q. A parameter estimation perspective of continuous time model reference adaptive control. Automatica. 23(1):1987;57-70.
    • (1987) Automatica , vol.23 , Issue.1 , pp. 57-70
    • Goodwin, G.C.1    Mayne, D.Q.2
  • 13
    • 0025464263 scopus 로고
    • Structure identification of nonlinear dynamic system - A survey on input/output approaches
    • Haber H., Unbehauen H. Structure identification of nonlinear dynamic system - A survey on input/output approaches. Automatica. 26(4):1990;651-677.
    • (1990) Automatica , vol.26 , Issue.4 , pp. 651-677
    • Haber, H.1    Unbehauen, H.2
  • 17
    • 0001553560 scopus 로고
    • A function estimation approach to sequential learning with neural networks
    • Kadirkamanathan V., Niranjan M. A function estimation approach to sequential learning with neural networks. Neural Computation. 5:1993;954-957.
    • (1993) Neural Computation , vol.5 , pp. 954-957
    • Kadirkamanathan, V.1    Niranjan, M.2
  • 19
    • 0027556807 scopus 로고
    • Application of feedforward neural networks to dynamical system identification and control
    • Kuschewski J.G., Hui S., Zak S.H. Application of feedforward neural networks to dynamical system identification and control. IEEE Transactions on Control Systems Technology. 1(1):1993;37-49.
    • (1993) IEEE Transactions on Control Systems Technology , vol.1 , Issue.1 , pp. 37-49
    • Kuschewski, J.G.1    Hui, S.2    Zak, S.H.3
  • 20
    • 0022011031 scopus 로고
    • Input-output parametric models for nonlinear systems, Parts I and II
    • Leontaritis I.J., Billings S.A. Input-output parametric models for nonlinear systems, Parts I and II. International Journal of Control. 41(1):1985;303-344.
    • (1985) International Journal of Control , vol.41 , Issue.1 , pp. 303-344
    • Leontaritis, I.J.1    Billings, S.A.2
  • 21
    • 0023104537 scopus 로고
    • Model selection and validation methods for non-linear systems
    • Leontaritis I.J., Billings S.A. Model selection and validation methods for non-linear systems. International Journal of Control. 45(3):1987;311-341.
    • (1987) International Journal of Control , vol.45 , Issue.3 , pp. 311-341
    • Leontaritis, I.J.1    Billings, S.A.2
  • 23
    • 0030244458 scopus 로고    scopus 로고
    • Stable sequential identification of continuous non-linear dynamical systems by growing RBF networks
    • Liu G.P., Kadirkamanathan V., Billings S.A. Stable sequential identification of continuous non-linear dynamical systems by growing RBF networks. International Journal of Control. 65(1):1996;53-69.
    • (1996) International Journal of Control , vol.65 , Issue.1 , pp. 53-69
    • Liu, G.P.1    Kadirkamanathan, V.2    Billings, S.A.3
  • 28
    • 0029390343 scopus 로고
    • Adaptive model selection and estimation for nonlinear systems using a sliding data window
    • Luo W., Billings S.A. Adaptive model selection and estimation for nonlinear systems using a sliding data window. Signal Processing. 46:1995;179-202.
    • (1995) Signal Processing , vol.46 , pp. 179-202
    • Luo, W.1    Billings, S.A.2
  • 29
    • 0032098522 scopus 로고    scopus 로고
    • Structure selective updating for nonlinear models and radial basis function neural networks
    • (in press)
    • Luo, W., & Billings, S.A. (1998). Structure selective updating for nonlinear models and radial basis function neural networks. Informational Journal of Control and Signal Processing (in press).
    • (1998) Informational Journal of Control and Signal Processing
    • Luo, W.1    Billings, S.A.2
  • 30
    • 0008672871 scopus 로고    scopus 로고
    • On line structure detection and parameter estimation with exponential windowing for nonlinear systems
    • Luo, W., Billings, S.A., & Tsang, K.M. (1996). On line structure detection and parameter estimation with exponential windowing for nonlinear systems. European Journal of Control, 2, 291-304.
    • (1996) European Journal of Control , vol.2 , pp. 291-304
    • Luo, W.1    Billings, S.A.2    Tsang, K.M.3
  • 31
    • 0001025418 scopus 로고
    • Bayesian interpolation
    • MacKay D.J.C. Bayesian interpolation. Neural Computation. 4(3):1992;415-447.
    • (1992) Neural Computation , vol.4 , Issue.3 , pp. 415-447
    • MacKay, D.J.C.1
  • 32
    • 0025399567 scopus 로고
    • Identification and control of dynamical systems using neural networks
    • Narendra K.S., 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
  • 33
    • 0023312947 scopus 로고
    • Reformulation of the parameter identification problem for systems with bounded disturbances
    • Ortega R., Lozano-Leal R. Reformulation of the parameter identification problem for systems with bounded disturbances. Automatica. 23(2):1987;247-251.
    • (1987) Automatica , vol.23 , Issue.2 , pp. 247-251
    • Ortega, R.1    Lozano-Leal, R.2
  • 35
    • 0026626377 scopus 로고
    • Comparison of four net learning methods for dynamic system identification
    • Qin S.Z., Su H.T., McAvoy T.J. Comparison of four net learning methods for dynamic system identification. IEEE Transactions on Neural Networks. 3(1):1992;122-130.
    • (1992) IEEE Transactions on Neural Networks , vol.3 , Issue.1 , pp. 122-130
    • Qin, S.Z.1    Su, H.T.2    McAvoy, T.J.3
  • 36
    • 0027698750 scopus 로고
    • A perceptron network for functional identification and control of nonlinear systems
    • Sadegh N. A perceptron network for functional identification and control of nonlinear systems. IEEE Transactions on Neural Networks. 4(6):1993;982-988.
    • (1993) IEEE Transactions on Neural Networks , vol.4 , Issue.6 , pp. 982-988
    • Sadegh, N.1
  • 39
    • 0344054287 scopus 로고
    • On stochastic complexity and admissible models for neural network classifiers
    • In R.P. Lippmann, J. Moody & D.S. Touretzky (Eds.) San Mateo, CA: Morgan Kaufmann
    • Smyth, P. (1991). On stochastic complexity and admissible models for neural network classifiers. In R.P. Lippmann, J. Moody & D.S. Touretzky (Eds.), Advances in neural informational processing systems 3. San Mateo, CA: Morgan Kaufmann.
    • (1991) Advances in Neural Informational Processing Systems , vol.3
    • Smyth, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.