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Subspace Identification of Local Systems in One-Dimensional Homogeneous Networks

Yu, Chengpu (author)
Beijing Inst Technol, Peoples R China; Delft Univ Technol, Netherlands
Verhaegen, Michel (author)
Delft Univ Technol, Netherlands
Hansson, Anders (author)
Linköpings universitet,Reglerteknik,Tekniska fakulteten
 (creator_code:org_t)
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2018
2018
English.
In: IEEE Transactions on Automatic Control. - : IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. - 0018-9286 .- 1558-2523. ; 63:4, s. 1126-1131
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • This note considers the identification of large-scale one-dimensional 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 the two-layer Toeplitz structural property in the data equation, whereas 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.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Large-scale 1-D distributed systems; rank minimization problem; two-layer Toeplitz structure

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