65
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Nonlinear system identification using two-dimensional wavelet-based state-dependent parameter models

&
Pages 1161-1180 | Received 09 Aug 2008, Accepted 08 Apr 2009, Published online: 28 Oct 2009

References

  • Baudat , G and Anouar , F . Kernel-based Methods and Function Approximation . Proceedings of the 2001 International Joint Conference on Neural Networks . 2001 . pp. 1244 – 1249 . Washington, DC, , USA
  • Billings , SA , Chen , S and Korenberg , MJ . 1989 . Identification of Nonlinear MIMO Systems Using Forward Regression Orthogonal Estimator . International Journal of Control , 49 : 2157 – 2189 .
  • Billings , SA and Wei , HL . 2005 . A New Class of Wavelet Networks for Nonlinear System Identification . IEEE Transactions on Neural Networks , 16 ( 4 ) : 862 – 874 .
  • Billings , SA and Wei , HL . 2008 . An Adaptive Orthogonal Search Algorithm for Model Subset Selection and Non-linear System Identification . International Journal of Control , 81 ( 5 ) : 714 – 724 .
  • Chen , S , Billings , SA and Luo , W . 1989 . Orthogonal Least Squares Methods and Their Applications in Nonlinear System Identification . International Journal of Control , 50 : 1873 – 1896 .
  • Chui , KC . 1992 . An Introduction to Wavelets , New York : Academics .
  • De Moor , BLR (ed.) . 2007 . DaIsy: Database for Identification of Systems, Department of Electrical Engineering , K.U.Leuven, Belgium : ESAT/SISTA . http://homes.esat.kuleuven.be/~smc/daisy/ [Continuous stirred tank reactor, Process Industry Systems, 98-002]
  • Gonzalez , J , Rojas , I , Ortega , J , Pomares , H , Fernandez , FJ and Diaz , AF . 2003 . Multiobjective Evolutionary Optimization of the Size, Shape and Position Parameters of Radial Basis Function Networks for Functional Approximation . IEEE Transactions on Neural Networks , 14 ( 6 ) : 1478 – 1495 .
  • Hong , X , Harris , CJ , Chen , S and Sharkey , PM . 2003a . Robust Nonlinear System Identification Methods Using Forward Regression . IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans , 33 ( 4 ) : 514 – 523 .
  • Hong , X , Sharkey , PM and Warwick , K . 2003b . Automatic Nonlinear Predictive Model Construction Algorithm Using Forward Regression and the PRESS Statistic . IEE Proceedings: Control Theory and Applications , 150 ( 3 ) : 245 – 254 .
  • Hong , X , Sharkey , PM and Warwick , K . 2003c . A Robust Nonlinear Identification Algorithm Using PRESS Statistic and Forward Regression . IEEE Transactions on Neural Networks , 14 ( 2 ) : 454 – 458 .
  • Lightbody , G and Irwin , GW . 1997 . Nonlinear Control Structures Based on Embedded Neural System Models . IEEE Transactions on Neural Networks , 8 ( 3 ) : 553 – 567 .
  • Liu , GP , Billings , SA and Kadirkamanathan , V . Nonlinear System Identification Using Wavelet Network . Proceedings of the UKACC International Conference on Control . 1998 . pp. 1248 – 1253 .
  • Mertin , A . 1999 . Signal Analysis: Wavelet, Filter Banks, Time-Frequency Transforms and Applications , London : John Wiley & Sons .
  • Meyer , Y . 1992 . Wavelet and Operator , Cambridge : Cambridge University Press .
  • Savakis , AE , Stoughton , JW and Kanetkar , SV . 1989 . Spline Function Approximation for Velocimeter Doppler Frequency Measurement . IEEE Transactions on Instrumentation and Measurement , 8 ( 4 ) : 892 – 897 .
  • Truong , NV and Wang , L . 2008 . “ Nonlinear System Identification in a Noisy Environment Using Wavelet Based SDP Models ” . In Proceedings of the 17th IFAC World Congress 7439 – 7444 . Seoul, , S. Korea
  • Truong , NV and Wang , L . 2009 . “ Benchmark Nonlinear System Using Wavelet Based SDP Models ” . In in Proceedings of the 17th IFAC Symposium on System Identification (SYSID 2009) Saint-Malo, , France
  • Truong , NV , Wang , L and Huang , JM . Nonlinear Modeling of a Magnetic Bearing Using SDP Model and Linear Wavelet Parameterization . Proceedings of the 2007 American Control Conference . 2007a . pp. 2254 – 2259 . New York, , USA
  • Truong , NV , Wang , L and Young , PC . Nonlinear System Modeling Based on Nonparametric Identification and Linear Wavelet Estimation of SDP Models . Proceedings of the 45th IEEE Conference on Decision and Control . 2006 . pp. 2523 – 2528 . San Diego, , USA
  • Truong , NV , Wang , L and Young , PC . 2007b . Nonlinear System Modeling Based on Nonparametric Identification and Linear Wavelet Estimation of SDP Models . International Journal of Control , 80 ( 5 ) : 774 – 788 .
  • Young , PC . 1993 . “ Time Variable and State Dependent Modelling of Nonstationary and Nonlinear Time Series ” . In Developments in Time Series, Volume in Honour of Maurice Priestley , Edited by: Rao , TS . 374 – 413 . London : Chapman and Hall .
  • Young , PC . 1998 . Data-based Mechanistic Modelling of Engineering Systems . Journal in Vibration and Control , 4 : 5 – 28 .
  • Young , PC . 2001 . “ The Identification and Estimation of Nonlinear Stochastic Systems ” . In Nonlinear Dynamics and Statistics , Edited by: Mees , AI . 127 – 166 . Boston : Birkhauser .
  • Young , PC , McKenna , P and Bruun , J . 2001 . Identification of Nonlinear Stochastic Systems by State Dependent Parameter Estimation . International Journal of Control , 74 : 1837 – 1857 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.