Title
Subspace system identification via weighted nuclear norm optimization
Abstract
We present a subspace system identification method based on weighted nuclear norm approximation. The weight matrices used in the nuclear norm minimization are the same weights as used in standard subspace identification methods. We show that the inclusion of the weights improves the performance in terms of fit on validation data. Experimental results from randomly generated examples as well as from the Daisy benchmark collection are reported. The key to an efficient implementation is the use of the alternating direction method of multipliers to solve the optimization problem.
Year
DOI
Venue
2012
10.1109/CDC.2012.6426980
Decision and Control
Keywords
Field
DocType
approximation theory,identification,matrix algebra,optimisation,Daisy benchmark collection,alternating direction method,subspace system identification method,weight matrices,weighted nuclear norm approximation,weighted nuclear norm optimization
Mathematical optimization,Nuclear norm minimization,Subspace topology,Matrix (mathematics),Matrix algebra,Computer science,Approximation theory,Matrix norm,System identification,Optimization problem
Conference
Volume
ISSN
ISBN
abs/1207.0023
0743-1546 E-ISBN : 978-1-4673-2064-1
978-1-4673-2064-1
Citations 
PageRank 
References 
18
0.93
10
Authors
3
Name
Order
Citations
PageRank
Anders Hansson1323.26
Zhang Liu2180.93
Lieven Vandenberghe3180.93