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Article Dans Une Revue Systems and Control Letters Année : 2021

Structural identifiability of linear Port Hamiltonian systems

Résumé

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.
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hal-04030480 , version 1 (24-04-2023)

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Silviu Medianu, Laurent Lefèvre. Structural identifiability of linear Port Hamiltonian systems. Systems and Control Letters, 2021, 151, pp.104915. ⟨10.1016/j.sysconle.2021.104915⟩. ⟨hal-04030480⟩

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