Subspace identification of local systems in 1D homogeneous networks

Journal article (2017)

Authors

C. Yu Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
M.H.G. Verhaegen Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
A Hansson Linköping University
Research Group
Team Raf Van de Plas (Mechanical, Maritime and Materials Engineering) (TU Delft)
Large-scale 1D distributed systems Rank minimization problem Two-layer Toeplitz structure
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Published Date

2017

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Raf Van de Plas

Abstract

This note considers the identification of large-scale 1D networks consisting of identical LTI dynamical systems. A subspace identification method is developed that only uses local input-output information and does not rely on knowledge about the local state interaction. The proposed identification method estimates the Markov parameters of a locally lifted system, following the state-space realization of a single subsystem. The Markov-parameter estimation is formulated as a rank minimization problem by exploiting the low-rank property and a two-layer Toeplitz structural property in the data equation, while the state-space realization of a single subsystem is formulated as a structured low-rank matrix factorization problem. The effectiveness of the proposed identification method is demonstrated by simulation examples.

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