Abstract | ||
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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 |
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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 |
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Silviu Medianu | 1 | 0 | 0.34 |
L. Lefévre | 2 | 62 | 18.51 |