Subspace identification of distributed clusters of homogeneous systems

Yu, C.; Verhaegen, M.H.G.

doi:10.1109/TAC.2016.2555961

Subspace identification of distributed clusters of homogeneous systems

Title

Subspace identification of distributed clusters of homogeneous systems

Author

Yu, C. (TU Delft Numerics for Control & Identification)
Verhaegen, M.H.G. (TU Delft Numerics for Control & Identification)

Date

2017

Abstract

This note studies the identification of a network comprised of interconnected clusters of LTI systems. Each cluster consists of homogeneous dynamical systems, and its interconnections with the rest of the network are unmeasurable. A subspace identification method is proposed for identifying a single cluster using only local input and output data. With the topology of the concerned cluster being available, all the LTI systems within the cluster are decoupled by taking a transformation on the state, input and output data. To deal with the unmeasurable interconnections between the concerned cluster and the rest of the network, the Markov parameters of the decoupled LTI systems are identified first by solving a nuclear-norm regularized convex optimization, following the state-space realization of a single LTI system within the cluster by solving another nuclearnorm regularized optimization problem. The effectiveness of the proposed identification method is demonstrated by a simulation example.

Subject

nuclear norm optimization
General network topology
decomposable systems

To reference this document use:

http://resolver.tudelft.nl/uuid:3e9aa310-068d-40ba-88a6-36d414c29275

DOI

https://doi.org/10.1109/TAC.2016.2555961

ISSN

0018-9286

Source

IEEE Transactions on Automatic Control, 62 (1), 463-468

Bibliographical note

Accepted Author Manuscript