An efficient atomic norm minimization approach to identification of low order models

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2013, Pages 5834-5839

  Yilmaz, B ^a   Lagoa, C ^b   Sznaier, M ^a  

^a Northeastern University   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE SEGMENTATION;

ALGEBRAIC OPTIMIZATION; COMPUTATIONALLY EFFICIENT; LOW ORDER MODELS; PRIORI MODEL; RANDOMIZED APPROACH; SALIENT FEATURES; TYPE CONSTRAINTS;

CONTROLLERS;

EID: 84902312801     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2013.6760809     Document Type: Conference Paper

References (20)

1. M. Ayazoglu and M. Sznaier. Fast structured nuclear norm minimization with applications to set membership systems identification. preprint.
2. M. Ayazoglu and M. Sznaier. An algorithm for fast constrained nuclear norm minimization and applications to systems identification. In Proceedings of the 5Jth IEEE CDC, 2012.
3. Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, and Alan Willsky. The convex geometry of linear inverse problems. Foundations of Computational Mathematics, pages 167-172, 2012.
4. J. Chen and G. Gu. Control Oriented System Identification, An Approach. John Wiley, New York, 2000.
5. J. Chen and C. Nett. The Caratheodory-Fejer problem and identification. IEEE Transactions on Automatic Control, 40(4), 1995.
6. J. Chen, C. Nett, and M. Fan. Worst-case system identification in Validation of a Priori information, essentially optimal algorithms and error bounds. IEEE Transactions on Automatic Control, 40(7), 1995.
7. Chao Feng, Constantino Lagoa, and Mario Sznaier. A convex approach to generalized fixed order interpolation. In Proceedings of the 2012 American Control Conference, pages 5174-5181, 2012.
8. M. Frank and P. Wolfe. An algorithm for quadratic programming. Naval Res. Logist. Quart., 3(1-2):95-110, 1956.
9. D. Henrion, J. B. Lasserre, and J. Loefberg. Gloptipoly 3: moments, optimization and semidefinite programming. Optimization Methods and Software, 24:761-779, 2009.
10. T. Inanc, M. Sznaier, P. A. Parrilo, and R. S. Sanchez Pena. Robust identification with mixed time/frequency domain experiments and parametric/nonparametric models: Theory and an application. IEEE Trans. Contr. Systems Tech, 9(4):608-617, 2001.
11. Z. Liu and L. Vandenberghe. Interior-point method for nuclear norm approximation with application to system identification. SIAM J. Matrix Anal. Appl., 31:1235-1256, November 2009.
12. M. Milanese and A. Vicino. Optimal estimation theory for dynamic systems with set membership uncertainty: An overview. Automatica 27(6):997-1009, 1991.
13. K. Mohan and M. Fazel. Reweighted nuclear norm minimization with application to system identification. In Proceedings of American Control Con 2010, volume 6, pages 2953 -2959. AACC, 2010.
14. P. VanOverschee and B. DeMoor. N4SID: subspace algorithms for identification of combined deterministic-stochastic systems. Automatica, 30(1):75-93, 1994.
15. P. A. Parrilo, M. Sznaier, and R. S. Sanchez Pena. Mixed time/frequency domain based robust identification. Automatica, 34(11):1375-1389, 1998.
16. R. Sanchez Pena and M. Sznaier. Robust Systems Theory and Applications. Wiley & Sons, Inc., 1998.
17. Parikshit Shah, Badri Narayan Bhaskar, Gang Tang, and Benjamin Recht. Linear system identification via atomic norm regularization. In Proceedings of the 51th IEEE CDC, pages 6265-6270, 2012.
18. S. Tangirala, F. Holmes, M. A. Ray, and M. Carpino. Life extending control of mechanical structures: Experimental verification of the concept. Automatica, 34(1):3-14, 1998.
19. Ambuj Tewari, Pradeep Ravikumar, and Inderjit S. Dhillon. Greedy algorithms for structurally constrained high dimensional problems. Advances in Neural Information Processing Systems 24, pages 882- 890, 2011.
20. P. VanOverschee and B. De Moor. Subspace algorithms for the stochastic identification problem. Automatica, 29(3):649-660, May 1993.