Extending identifiability results from isolated networks to embedded networks
Eduardo Mapurunga, MICHEL R. GEVERS, Alexandre Sanfelice Bazanella · 2024
This paper deals with the design of Excitation and Measurement Patterns (EMPs) for the identification of dynamic networks, when the objective is to identify only a subnetwork embedded in a larger network. Recent results have shown how to construct EMPs that guarantee identifiability for a range of networks with specific graph topologies, such as trees, loops, parallel networks, or Directed Acyclic Graphs (DAGs). However, an EMP that is valid for the identification of a subnetwork taken in isolation may no longer be valid when that subnetwork is embedded in a larger network. Our main contribution is to exhibit conditions under which it does remain valid, and to propose ways to enhance such EMP when these conditions are not satisfied.