Multi-agent systems reaching optimal consensus with time-varying communication graphs
2011 (English)In: IFAC Proceedings Volumes: (IFAC-PapersOnline), 2011, no PART 1, 5693-5699 p.Conference paper (Refereed)
In this paper, an optimal consensus problem for continuous-time multi-agent systems is formulated and solved with time-varying interconnection topologies. Based on a sharp connectivity assumption, the considered multi-agent network with simple nonlinear distributed control rules achieves not only a consensus, but also an optimal one by agreeing within the global optimal solution set of a sum of objective functions corresponding to multiple agents. Convergence analysis is presented, by establishing several key properties of a class of distance functions and invariant sets with the help of convex analysis and non-smooth analysis.
Place, publisher, year, edition, pages
2011. no PART 1, 5693-5699 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; 18
Distributed optimization, Multi-agent systems, Optimal consensus, Set convergence, Communication graphs, Consensus problems, Continuous time, Convergence analysis, Convex analysis, Distance functions, Distributed control, Global optimal solutions, Interconnection topologies, Invariant set, Multi agent system (MAS), Multiagent networks, Multiple agents, Non-smooth, Objective functions, Time varying, Multi agent systems, Optimization
IdentifiersURN: urn:nbn:se:kth:diva-149776DOI: 10.3182/20110828-6-IT-1002.03721ScopusID: 2-s2.0-84866753283ISBN: 9783902661937OAI: oai:DiVA.org:kth-149776DiVA: diva2:742030
18th IFAC World Congress; Milano, Italy, 28 August - 2 September, 2011
QC 201408292014-08-292014-08-272014-10-03Bibliographically approved