A two-stage algorithm for structure identification of polynomial NARX models

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 2387-2392

  Spinelli, William ^a   Piroddi, Luigi ^a   Lovera, Marco ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; IDENTIFICATION (CONTROL SYSTEMS); ITERATIVE METHODS; MEASUREMENT ERRORS; OPTIMIZATION; PREDICTIVE CONTROL SYSTEMS;

COARSE IDENTIFICATION; IDENTIFICATION ALGORITHMS; PREDICTION ERROR MINIMIZATION (PEM); STRUCTURE IDENTIFICATION;

POLYNOMIALS;

EID: 34047192703     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1656577     Document Type: Conference Paper

References (15)

1. R. Haber and H. Unbehauen, "Structure Identification of Nonlinear Dynamic Systems - A Survey on Input/Output Approaches," Automatica, vol. 26, no. 4, pp. 651-677, 1990.
2. A. Juditsky, H. Hjalmarsson, A. Benveniste, B. Delyon, L. Ljung, J. Sjoberg, and Q. Zhang, "Nonlinear Black-box Models in System Identification: Mathematical Foundations," Automatica, vol. 31, no. 12, pp. 1725-1750, 1995.
3. R. Murray-Smith and T. Johansen, Multiple Model Approaches to Modeling and Control London: Taylor and Francis, 1997.
4. A. Leva and L. Piroddi, "NARX-based technique for the modeling of magnetorheological damping devices," Smart Materials and Structures, vol. 11, pp. 79-88, 2002.
5. L. Piroddi and W. Spinelli, "An identification algorithm for polynomial NARX models based on simulation error minimization," Int. J. of Control, vol. 76, no. 17, pp. 283-295, 2003.
6. J. Schoukens, J. G. Nemeth, P. Crama, Y. Rolain, and R. Pintelon, "Fast approximate identification of nonlinear systems," Automatica, vol. 39, no. 7, pp. 1267-1274, 2003.
7. J. Sjöberg, Q. Zhang, L. Ljung, A. Benveniste, B. Delyon, P. Glorennec, H. Hjalmarsson, and A. Juditsky, "Nonlinear black-box modeling in system identification: a unified overview," Automatica, vol. 31, no. 12, pp. 1691-1724, 1995.
8. M. Korenberg, S. Billings, Y. Liu, and P. McIlroy, "Orthogonal parameter estimation algorithm for non-linear stochastic systems," Int. J. of Control, vol. 48, pp. 193-210, 1988.
9. S. Billings, S. Chen, and M. Korenberg, "Identification of MIMO nonlinear systems using a forward-regression orthogonal estimator," Int. J. of Control, vol. 49, pp. 2157-2189, 1989.
10. th IFAC SYSID, 2003, pp. 1108-1113.
11. S. Billings and L. Aguirre, "Effects of the sampling time on the dynamics and identification of nonliner model," Int. J. of Bifurcations and Chaos, vol. 5, no. 6, pp. 1541-1556, 1995.
12. rd IEEE CDC, 2004, pp. 3850-3855.
13. L. Aguirre and S. Billings, "Improved structure selection for nonlinear models based on term clustering," Int. J. of Control, vol. 62, pp. 569-587, 1995.
14. I. Leontaritis and S. Billings, "Input-output parametric models for non-linear systems - Part II: stochastic non-linear systems," Int. J. of Control, vol. 41, pp. 329-344, 1985.
15. L. Aguirre and C. Jácome, "Cluster analysis of NARMAX models for signal-dependent systems," IEE Proc. - Control Theory Appl., vol. 145, no. 4, pp. 409-414, 1998.