Structural identifiability of linear Port Hamiltonian systems

Authors

Abstract

This paper, puts in discussion the structural identifiability of LTI Port-Controlled Hamiltonian (PCH) systems, in order to develop a specific identification and control theory. This is due to their remarkable properties of power conservation and stability under power preserving interconnection. The main part of the paper, presents a power based identifiability approach, with specific propositions and definitions. It is based on the power knowledge associated with the system ports, interconnected by a Dirac structure, for selected input signals. In a preliminary section, corresponding transfer functions, system outputs, Markov parameters, observability conditions, port-observability or infinite Grammians are defined for each port. Beside this, a port-identifiability concept is introduced for the identifiability analysis of one port. It is proved that between the input and system ports, a specific model can be determined for identification analysis, preserving in the same time the PCH structure. As examples to demonstrate the theory, a controlled LC circuit and a DC motor are selected for the lossless and lossy cases, respectively.

Keywords

global–local identifiability, lti systems, port hamiltonian systems, port-identifiability, port-observability, structural identifiability

Citation

Journal: Systems & Control Letters
Year: 2021
Volume: 151
Issue:
Pages: 104915
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104915

BibTeX

@article{Medianu_2021,
  title={{Structural identifiability of linear Port Hamiltonian systems}},
  volume={151},
  ISSN={0167-6911},
  DOI={10.1016/j.sysconle.2021.104915},
  journal={Systems \&amp; Control Letters},
  publisher={Elsevier BV},
  author={Medianu, Silviu and Lefèvre, Laurent},
  year={2021},
  pages={104915}
}

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