947
Views
171
CrossRef citations to date
0
Altmetric
Original Articles

An identification algorithm for polynomial NARX models based on simulation error minimization

&
Pages 1767-1781 | Accepted 13 Oct 2003, Published online: 21 May 2010

References

  • Aguirre , L. A. 1994 . Some remarks on structure selection for nonlinear models . International Journal of Bifurcation and Chaos , 4 : 1707 – 1714 .
  • Aguirre , L. A. and Billings , S. A. 1995 a . Improved structure selection for nonlinear models based on term clustering . International Journal of Control , 62 : 569 – 587 .
  • Aguirre , L. A. and Billings , S. A. 1995 b . Dynamical effects of overparametrization in nonlinear models . Physica D , 80 : 26 – 40 .
  • Aguirre , L. A. and Jácome , C. R. F. 1998 . Cluster analysis of NARMAX models for signal-dependent systems . IEE Proceedings—Control Theory Applications , 145 : 409 – 414 .
  • Billings , S. A. and Aguirre , L. A. 1995 . Effects of the sampling time on the dynamics and identification of nonlinear models . International Journal of Bifurcation and Chaos , 5 : 1541 – 1556 .
  • Billings , S. A. , Chen , S. and Korenberg , M. J. 1989 . Identification of MIMO non-linear systems using a forward-regression orthogonal estimator . International Journal of Control , 49 : 2157 – 2189 .
  • Billings , S. A. and Tsang , K. M. 1989 . Spectral analysis for non-linear systems–-Part I: parametric non-linear spectral analysis—Part II: interpretation of non-linear frequency response functions . Mechanical Systems and Signal Processing , 3 : 319 – 359 .
  • Billings , S. A. , Tsang , K. M. and Tomlinson , G. R. 1990 . Spectral analysis for non-linear systems—Part III: case study examples . Mechanical Systems and Signal Processing , 4 : 3 – 21 .
  • Chiras , N. , Evans , C. and Rees , D. 2001 . Nonlinear gas turbine modeling using NARMAX structures . IEEE Transactions on Instrumentation and Measurement , 50 : 893 – 898 .
  • Kalkkuhl , J. and Liccaga-Castro , E. 1996 . Nonlinear control based on the NARX plant representation . Proceedings IEEE International Symposium on Industrial Electronics, ISIE ’96 , 1 : 115 – 120 .
  • Korenberg , M. , Billings , S. A. , Liu , Y. P. and Mcilroy , P. J. 1987 . Orthogonal parameter estimation algorithm for non-linear stochastic systems . International Journal of Control , 48 : 193 – 210 .
  • Leontaritis , I. J. and Billings , S. A. 1985 a . Input–output parametric models for non-linear systems—Part I: deterministic non-linear systems . International Journal of Control , 41 : 303 – 328 .
  • Leontaritis , I. J. and Billings , S. A. 1985 b . Input–output parametric models for non-linear systems—Part II: stochastic non-linear systems . International Journal of Control , 41 : 329 – 344 .
  • Leontaritis , I. J. and Billings , S. A. 1987 a . Model selection and validation methods for non-linear systems . International Journal of Control , 45 : 311 – 341 .
  • Leontaritis , I. J. and Billings , S. A. 1987 b . Experimental design and identifiability for non-linear systems . International Journal of Systems Science , 18 : 189 – 202 .
  • Leva , A. and Piroddi , L. 2002 . NARX-based technique for the modeling of magneto-rheological damping devices . Smart Materials and Structures , 11 : 79 – 88 .
  • Loh , C. H. and Duh , J. Y. 1996 . Analysis of nonlinear system using NARMA models . JSCE—Structural Engineering/Earthquake Engineering , 13 : 11 – 21 .
  • Maio , I. A. , Stievano , I. S. and Canavero , F. G. 1998 . NARX approach to black-box modeling of circuit elements . Proceedings IEEE International Symposium on Circuits and Systems, ISCAS 98 , 3 : 411 – 414 .
  • Mao , K. Z. and Billings , S. A. 1997 . Algorithms for minimal model structure detection in nonlinear dynamic system identification . International Journal of Control , 68 : 311 – 330 .
  • Palumbo , P. and Piroddi , L. 2000 a . Harmonic analysis of nonlinear structures by means of Generalized Frequency Response Functions coupled with NARX models . Mechanical Systems and Signal Processing , 14 : 243 – 265 .
  • Palumbo , P. and Piroddi , L. 2000 b . Seismic behaviour of buttress dams: nonlinear modelling of a damaged buttress based on ARX/NARX models . Journal of Sound and Vibration , 239 : 405 – 422 .
  • Palumbo P. Piroddi L. Lancini S. Lozza F. 2001 NARX modelling of radial crest displacements of the Schlegeis Arch Dam 6th Benchmark Workshop on Numerical Analysis of Dams Salzburg Austria 17–19 October
  • Peyton-Jones , J. C. and Billings , S. A. 1989 . Recursive algorithm for computing the frequency response of a class of non-linear difference equation model . International Journal of Control , 50 : 1925 – 1940 .
  • Piroddi L. Feriani A. Lozza F. 2001 Black-box modelling of an anti-seismic isolator 5th World Congress on Joints, Bearings and Seismic Systems for Concrete Structures, JBSS ’01 Rome Italy 7–11 October
  • Pottmann , M. , Unbehauen , H. and Seborg , D. E. 1993 . Application of a general multi-model approach for identification of highly nonlinear processes—A case study . International Journal of Control , 57 : 97 – 120 .
  • Sjöberg , J. , Zhang , Q. , Ljung , L. , Benveniste , A. , Delyon , B. , Glorennec , P. , Hjalmarsson , H. and Juditsky , A. 1995 . Nonlinear black-box modeling in system identification: a unified overview . Automatica , 12 : 1691 – 1724 .

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.