We study dynamic networks described by a directed graph where the nodes are associated with MIMO systems with transfer-function matrix F(s), representing individual dynamic units, and the arcs are associated with MIMO systems with transfer-function matrix G(s), accounting for the dynamic interactions among the units. In the nominal case, we provide a topology-independent condition for the stability of all possible dynamic networks with a maximum connectivity degree, regardless of their size and interconnection structure. When node and arc transfer-function matrices are affected by norm-bounded homogeneous uncertainties, the robust condition for size- and topology-independent stability depends on the uncertainty magnitude. Both conditions, expressed as constraints for the Nyquist diagram of the poles of the transfer-function matrix H(s) = F(s)G(s), are scalable and can be checked locally to guarantee stability-preserving “plug-and-play” addition of new nodes and arcs.

Topology-independent robust stability for networks of homogeneous MIMO systems / Devia, Carlos Andres; Giordano, Giulia. - 53:2(2020), pp. 3379-3384. (Intervento presentato al convegno 21st IFAC World Congress tenutosi a Berlin, Germany nel 11th-17th July 2020) [10.1016/j.ifacol.2020.12.1503].

Topology-independent robust stability for networks of homogeneous MIMO systems

Giordano, Giulia
2020-01-01

Abstract

We study dynamic networks described by a directed graph where the nodes are associated with MIMO systems with transfer-function matrix F(s), representing individual dynamic units, and the arcs are associated with MIMO systems with transfer-function matrix G(s), accounting for the dynamic interactions among the units. In the nominal case, we provide a topology-independent condition for the stability of all possible dynamic networks with a maximum connectivity degree, regardless of their size and interconnection structure. When node and arc transfer-function matrices are affected by norm-bounded homogeneous uncertainties, the robust condition for size- and topology-independent stability depends on the uncertainty magnitude. Both conditions, expressed as constraints for the Nyquist diagram of the poles of the transfer-function matrix H(s) = F(s)G(s), are scalable and can be checked locally to guarantee stability-preserving “plug-and-play” addition of new nodes and arcs.
2020
21st IFAC World Congress Proceedings
Amsterdam
Elsevier B.V.
Devia, Carlos Andres; Giordano, Giulia
Topology-independent robust stability for networks of homogeneous MIMO systems / Devia, Carlos Andres; Giordano, Giulia. - 53:2(2020), pp. 3379-3384. (Intervento presentato al convegno 21st IFAC World Congress tenutosi a Berlin, Germany nel 11th-17th July 2020) [10.1016/j.ifacol.2020.12.1503].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/315607
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