Excitation allocation for generic identifiability of linear dynamic networks with fixed modules

H. J. Dreef, S. Shi, X. Cheng, M. C.F. Donkers, P. M.J. Van den Hof

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Abstract

Identifiability of linear dynamic networks requires the presence of a sufficient number of external excitation signals. The problem of allocating a minimal number of external signals for guaranteeing generic network identifiability in the full measurement case has been recently addressed in the literature. Here we will extend that work by explicitly incorporating the situation that some network modules are known, and thus are fixed in the parametrized model set. The graphical approach introduced earlier is extended to this situation, showing that the presence of fixed modules reduces the required number of external signals. An algorithm is presented that allocates the external signals in a systematic fashion.

Original languageEnglish
Pages (from-to)2587-2592
JournalIEEE Control Systems Letters
Volume6
DOIs
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • Dynamic scheduling
  • Heuristic algorithms
  • identification
  • linear systems.
  • Network analysis and control
  • Network topology
  • Numerical models
  • Resource management
  • Topology
  • White noise

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