Nuclear norm minimization methods for frequency domain subspace identification

Proceedings of the American Control Conference

Volumn , Issue , 2012, Pages 2689-2694

  Smith, Roy S ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

SINGULAR VALUE DECOMPOSITION;

FREQUENCY DOMAINS; FREQUENCY-DOMAIN DATA; HANKEL STRUCTURE; LOW ORDER APPROXIMATION; LOW ORDER MODELS; NUCLEAR NORM MINIMIZATIONS; SPECTRAL CONSTRAINTS; SUBSPACE IDENTIFICATION;

FREQUENCY DOMAIN ANALYSIS;

EID: 84869483715     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2012.6315585     Document Type: Conference Paper

References (11)

1. B. De Schutter, "Minimal state-space realization in linear system theory: an overview," J. Comp. & Appl. Math., vol. 121, pp. 331-354, 2000.
2. T. McKelvey, H. Akcay, and L. Ljung, "Subspace-based multivariable system identification from frequency response data," IEEE Trans. Auto. Control, vol. 41, no. 7, pp. 960-979, 1996.
3. A. Damen, P. Van den Hof, and A. Hajdasinksi, "Approximate realization based upon an alternative to the Hankel matrix: the Page matrix," Systems & Control Letters, vol. 2, pp. 202-208, 1982.
4. M. Schuermans, P. Lemmerling, and S. Van Huffel, "Block-row Hankel weighted low rank approximation," Numerical Linear Algebra with Appl., vol. 13, pp. 293-302, 2006.
5. S. Van Huffel, "Analysis and properties of the generalized total least squares problem AX-B when some or all columns in A are subject to error," SIAM J. Matrix Anal. & Appl., vol. 10, no. 3, pp. 294-315, 1989.
6. B. Recht, M. Fazel, and P. A. Parrilo, "Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization," SIAM Review, vol. 52, no. 3, pp. 471-501, 2010.
7. M. Fazel and H. Hindi, "A rank minimization heuristic with application to minimum order system approximation," American Control Conf., pp. 4734-4739, 2001.
8. C. Grossmann, C. Jones, and M. Morari, "System identification via nuclear norm regularization for simulated moving bed processes from incomplete data sets," in Decision & Control Conf., pp. 4692-4697, 2009.
9. Z. Liu and L. Vandenberghe, "Interior-point method for nuclear norm approximation with application to system identification," SIAM J. Matrix Anal. & Appl., vol. 31, no. 3, pp. 1235-1256, 2009.
10. F. Paganini, "A set-based approach for white noise modeling," IEEE Trans. Auto. Control, vol. 41, no. 10, pp. 1453-1465, 1996.
11. S. Venkatesh and M. Dahleh, "Identification in the presence of classes of unmodeled dynamics and noise," IEEE Trans. Auto. Control, vol. 42, no. 12, pp. 1620-1635, 1997.