In this paper we present some preliminary results about the consensus problem in the behavioral approach. Specifically, we consider a group of N homogeneous agents whose dynamics are described by the same (linear and time-invariant) behavioral model, involving inputs, measurable variables and target variables. We assume that the agents' mutual communication is described by some (not necessarily symmetric) adjacency matrix. In this set-up we have derived necessary and sufficient conditions for a group of homogenous dynamic controllers, making use of the weighted information received by each agent about the other agents' dynamics, for the N agents to achieve consensus on the target variables dynamics (under regularity constraints on the overall interconnection). Such conditions have been extended to the case when consensus is searched for both the target and the measurable variables. Finally, it is shown that the paper results encompass, as a special case, the classical situation when the agents' dynamics are described by state-space models and the target (measurable) variables are the state (output) variables.

The consensus problem in the behavioral approach

BISIACCO, MAURO;VALCHER, MARIA ELENA
2014

Abstract

In this paper we present some preliminary results about the consensus problem in the behavioral approach. Specifically, we consider a group of N homogeneous agents whose dynamics are described by the same (linear and time-invariant) behavioral model, involving inputs, measurable variables and target variables. We assume that the agents' mutual communication is described by some (not necessarily symmetric) adjacency matrix. In this set-up we have derived necessary and sufficient conditions for a group of homogenous dynamic controllers, making use of the weighted information received by each agent about the other agents' dynamics, for the N agents to achieve consensus on the target variables dynamics (under regularity constraints on the overall interconnection). Such conditions have been extended to the case when consensus is searched for both the target and the measurable variables. Finally, it is shown that the paper results encompass, as a special case, the classical situation when the agents' dynamics are described by state-space models and the target (measurable) variables are the state (output) variables.
2014
Proceedings of the 53rd IEEE Conference on Decision and Control
9781467360906
9781479977451
9781479977468
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3158179
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact