Identifiability of linear lossless Port-controlled Hamiltonian systems

Abstract

The aim of this paper, is to study the identifiability property, of Port-Controlled Hamiltonian systems. A simple identifiability condition, is derived by transforming the port-Hamiltonian systems to the observable canonical form. Indeed, the observable canonical form, gives the possibility to represent the transfer function in a simplified form, similar to ARMAX models, used in identification. In order to test the identifiability of Port-Controlled Hamiltonian systems, a test was realized in the case of a LC circuit.