In this paper we present a novel discontinuous algorithm which cooperatively solves a distributed convex multi-agent optimization problem under a consensus constraint. The team performance function is the sum of local quadratic objective functions which are known to the local agent only. The proposed local interaction rule between the agents employs the subgradient of the local objective function along with a PI-like discontinuous component enforcing consensus between the agents' states in finite-time. Under mild assumptions on the local cost, a formal Lyapunov analysis confirms the convergence properties of the algorithm towards the optimal solution of the considered problem. To corroborate the theoretical results simulative analysis are presented.

A discontinuous algorithm for distributed convex optimization

PILLONI, ALESSANDRO;PISANO, ALESSANDRO;FRANCESCHELLI, MAURO;USAI, ELIO
2016

Abstract

In this paper we present a novel discontinuous algorithm which cooperatively solves a distributed convex multi-agent optimization problem under a consensus constraint. The team performance function is the sum of local quadratic objective functions which are known to the local agent only. The proposed local interaction rule between the agents employs the subgradient of the local objective function along with a PI-like discontinuous component enforcing consensus between the agents' states in finite-time. Under mild assumptions on the local cost, a formal Lyapunov analysis confirms the convergence properties of the algorithm towards the optimal solution of the considered problem. To corroborate the theoretical results simulative analysis are presented.
9781467397889
Control and Systems Engineering; Electrical and Electronic Engineering
File in questo prodotto:
File Dimensione Formato  
07506884.pdf

Solo gestori archivio

Descrizione: Articolo principale
Tipologia: versione editoriale
Dimensione 1.02 MB
Formato Adobe PDF
1.02 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

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: http://hdl.handle.net/11584/186616
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 7
social impact