DocumentCode :
22126
Title :
Subspace Identification of Large-Scale Interconnected Systems
Author :
Haber, Aleksandar ; Verhaegen, Michel
Author_Institution :
Delft Center for Syst. & Control, Delft Univ. of Technol., Delft, Netherlands
Volume :
59
Issue :
10
fYear :
2014
fDate :
Oct. 2014
Firstpage :
2754
Lastpage :
2759
Abstract :
We propose a decentralized subspace algorithm for the identification of large-scale, interconnected systems that are described by sparse (multi) banded state-space matrices. First, we prove that the state of a local subsystem can be approximated by a linear combination of inputs and outputs of local subsystems that are in its neighborhood. Furthermore, we prove that for interconnected systems with well-conditioned, finite-time observability Gramians (or observability matrices), the size of this neighborhood is relatively small. On the basis of these results, we develop the subspace identification algorithm that identifies the state-space model of a local subsystem from the local input-output data. Consequently, the developed algorithm is computationally feasible for interconnected systems with a large number of local subsystems. Numerical results confirm the effectiveness of the new identification algorithm.
Keywords :
decentralised control; identification; interconnected systems; matrix algebra; observability; state-space methods; decentralized subspace algorithm; finite-time observability Gramian matrices; large-scale interconnected systems; local input-output data; local subsystem state; sparse multibanded state-space matrices; subspace identification algorithm; Approximation algorithms; Bandwidth; Interconnected systems; Observability; Silicon; Sparse matrices; State-space methods; Identification; large-scale systems; subspace identification;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2014.2310375
Filename :
6758360
Link To Document :
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