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Generic identifiability of subnetworks in a linear dynamic network the full measurement case

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Document pages: 18 pages

Abstract: Identifiability conditions for single or multiple modules in a dynamicnetwork specify under which conditions the considered modules can be uniquelyrecovered from measurements of node signals and external excitation signals.Conditions for generic identifiability of multiple modules, i.e. a subnetwork,are developed for the situation that all node signals are accessible andexcitation of the network is provided by both measured excitation signals andunmeasured disturbance inputs. Additionally, the network model set is allowedto contain non-parametrized modules that are fixed, and e.g. reflect modules ofwhich the dynamics are known to the user. The conditions take the form ofpath-based conditions on the graph of the network model set. Based on theseconditions, synthesis results are formulated for allocating external excitationsignals to achieve generic identifiability of particular subnetworks. In caseof having a sufficient number of measured external excitation signals, theformulated results give rise to a generalized indirect type of identificationalgorithm that requires only the measurement of a subset of the node signals inthe network.

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