Abstract
Identifiability conditions for single or multiple modules in a dynamic network specify under which conditions the considered modules can be uniquely recovered from the second-order statistical properties of the measured signals. Conditions for generic identifiability of multiple modules, i.e. a subnetwork, are developed for the situation that all node signals are measured and excitation of the network is provided by both measured excitation signals and unmeasured disturbance inputs. Additionally, the network model set is allowed to contain non-parametrized modules that are fixed, and e.g. reflect modules of which the dynamics are known to the user. The conditions take the form of path-based conditions on the graph of the network model set. Based on these conditions, synthesis results are formulated for allocating external excitation signals to achieve generic identifiability of particular subnetworks. If there are a sufficient number of measured external excitation signals, the formulated results give rise to a generalized indirect type of identification algorithm that requires only the measurement of a subset of the node signals in the network.
Highlights
Due to the increasing complexity of current technological systems, the study of large-scale interconnected dynamic systems receives considerable attention [4, 19, 24]
When a subnetwork is not generically identifiable, we aim to develop graphical synthesis approaches that allocate additional excitation signals to automatically achieve the generic identifiability of a subnetwork
Generic identifiability of a subnetwork, i.e. a subset of modules, in linear dynamic networks has been investigated in the setting where all internal signals are measured
Summary
Due to the increasing complexity of current technological systems, the study of large-scale interconnected dynamic systems receives considerable attention [4, 19, 24]. In this setting we will develop novel analysis tools for generic identifiability of subnetworks that are formulated in terms of disconnecting sets in the graph of the network models, and we will show that this leads to a new and effective synthesis procedure for allocating external excitation signals for achieving identifiability of a subnetwork. This synthesis problem was not addressed in [3, 18, 38, 40].
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