Robust Subspace System Identification via Weighted Nuclear Norm Optimization
Dorsa Sadigh, Henrik Ohlsson, S. Shankar Sastry, Sanjit Seshia

Citation
Dorsa Sadigh, Henrik Ohlsson, S. Shankar Sastry, Sanjit Seshia. "Robust Subspace System Identification via Weighted Nuclear Norm Optimization". 19th World Congress of the International Federation of Automatic Control (IFAC), 24, August, 2014.

Abstract
Subspace identi cation is a classical and very well studied problem in system identi cation. The problem was recently posed as a convex optimization problem via the nuclear norm relaxation. Inspired by robust PCA, we extend this framework to handle outliers. The proposed framework takes the form of a convex optimization problem with an objective that trades o t, rank and sparsity. As in robust PCA, it can be problematic to nd a suitable regularization parameter.We show how the space in which a suitable parameter should be sought can be limited to a bounded open set of the two-dimensional parameter space. In practice,

Electronic downloads

Citation formats  
  • HTML
    Dorsa Sadigh, Henrik Ohlsson, S. Shankar Sastry, Sanjit
    Seshia. <a
    href="http://www.terraswarm.org/pubs/292.html"
    >Robust Subspace System Identification via Weighted
    Nuclear Norm Optimization</a>, 19th World Congress of
    the International Federation of Automatic Control (IFAC),
    24, August, 2014.
  • Plain text
    Dorsa Sadigh, Henrik Ohlsson, S. Shankar Sastry, Sanjit
    Seshia. "Robust Subspace System Identification via
    Weighted Nuclear Norm Optimization". 19th World
    Congress of the International Federation of Automatic
    Control (IFAC), 24, August, 2014.
  • BibTeX
    @inproceedings{SadighOhlssonSastrySeshia14_RobustSubspaceSystemIdentificationViaWeightedNuclear,
        author = {Dorsa Sadigh and Henrik Ohlsson and S. Shankar
                  Sastry and Sanjit Seshia},
        title = {Robust Subspace System Identification via Weighted
                  Nuclear Norm Optimization},
        booktitle = {19th World Congress of the International
                  Federation of Automatic Control (IFAC)},
        day = {24},
        month = {August},
        year = {2014},
        abstract = {Subspace identication is a classical and very
                  well studied problem in system identication. The
                  problem was recently posed as a convex
                  optimization problem via the nuclear norm
                  relaxation. Inspired by robust PCA, we extend this
                  framework to handle outliers. The proposed
                  framework takes the form of a convex optimization
                  problem with an objective that trades o t, rank
                  and sparsity. As in robust PCA, it can be
                  problematic to nd a suitable regularization
                  parameter.We show how the space in which a
                  suitable parameter should be sought can be limited
                  to a bounded open set of the two-dimensional
                  parameter space. In practice,},
        URL = {http://terraswarm.org/pubs/292.html}
    }
    

Posted by Barb Hoversten on 31 Mar 2014.
Groups: tools

Notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright.