An IV based criterion for model order selection

Automatica

Volumn 32, Issue 6, 1996, Pages 909-914

  Duong, Hoai Nghia ^a   Landau, Ioan Doré ^a  

^a GIPSA LAB   (France)

Author keywords

ARX model; Consistency; IV method; LS method; Structural estimation

Indexed keywords

COMPUTER SIMULATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; REGRESSION ANALYSIS; TIME VARYING SYSTEMS; TRANSFER FUNCTIONS; VECTORS;

ARMAX MODEL; INSTRUMENTAL VARIABLES; LEAST SQUARES LOSS FUNCTION; MODEL ORDER SELECTION; RANK TEST; STRUCTURAL ESTIMATION METHODS;

STABILITY CRITERIA;

EID: 0030171395     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00020-9     Document Type: Article

References (18)

1. Chen, H. F. and J. F. Zhang (1990). Identification and adaptive control for systems with unknown order, delay and coefficients. IEEE Trans. Autom. Control, AC-35, 866-877.
2. Duong, H. N. (1993). Identification structurelle et paramétrique des systèmes linéaires monovariables et multivariables. PhD dissertation, LAG. INPG, France.
3. Duong, H. N. and I. D. Landau (1994). On statistical properties of a test for model structure selection using the extended instrumental variable approach. IEEE Trans. Autom. Control, AC-39, 211-215.
4. Golub, G. H. and C. F. Van Loan (1983). Matrix Computations. Johns Hopkins, Baltimore.
5. Guidorzi, R. (1981). Invariants and canonical forms for system structural and parameter identification. Automatica, 17, 117-133.
6. Guidorzi, M. Losito and T. Muratori (1982b). The range error test in the structural identification of linear multivariable systems. IEEE Trans. Autom. Control, AC-27, 1044-1054.
7. Hall, A. (1991). Order identification of ARMA models based on instrumental variable estimators. IEEE Trans. Autom. Control, AC-36, 1116-1117.
8. Landau, I. D. (1990). System Identification and Control Design. Prentice-Hall, Englewood Cliffs, NJ.
9. Lawson, C. L. and R. J. Hanson (1974). Solving Least Squares Problems. Prentice-Hall, Englewood Cliffs, NJ.
10. Ljung, L. (1987). System Identification: Theory for the User. Prentice-Hall, Englewood Cliffs, NJ.
11. Söderström, T. (1977). On model structure testing in system identification. Int. J. Control, 26, 1-18.
12. Söderström, T. and P. Stoica (1983). Instrumental Variable Methods for System Identification. Lecture Notes in Control and Information Sciences, Vol. 57, Springer-Verlag, Berlin.
13. Söderström, T. and P. Stoica (1989). System Identification. Prentice-Hall, London.
14. Stoica, P. (1981). On a procedure for structural identification. Int. J. Control, 33, 1177-1181.
15. Wahlberg, B. (1991). System identification using Laguerre models. IEEE Trans. Autom. Control, AC-36, 89-91.
16. Wellstead, P. E. (1978). An instrumental product moment test for model order estimation. Automatica, 14, 89-91.
17. Woodside, C. W. (1971). Estimation of the order of linear systems. Automatica, 7, 727-733.
18. Young, P. C., Yakeman, A. J. and McMurtrie, R. (1980). An instrumental variable method for model order identification. Automatica, 16, 281-294.