Title
Structural Identifiability Of Linear Port Hamiltonian Systems
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. (c) 2021 Elsevier B.V. All rights reserved.<comment>Superscript/Subscript Available</comment
Year
DOI
Venue
2021
10.1016/j.sysconle.2021.104915
SYSTEMS & CONTROL LETTERS
Keywords
DocType
Volume
Port Hamiltonian systems, LTI systems, Structural identifiability, Port-observability, Global?local identifiability, Port-identifiability
Journal
151
ISSN
Citations 
PageRank 
0167-6911
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Silviu Medianu100.34
L. Lefévre26218.51