Complex constrained consensus

Ji Liu, Angelia Nedic, Tamer Basar

Research output: Contribution to journalConference articlepeer-review

Abstract

In a network of m > 1 agents, constrained consensus means that all m agents reach an agreement on a specific value of some quantity via local interactions while their states are restricted to lie in different closed convex sets. This paper formulates and solves two generalized versions of the basic constrained consensus problem. The first version deals with the case when the constraint set of each agent is complex so that the projection operation on the whole constraint set is computationally expensive or even prohibitive. The second version models the constrained flocking problem in which each agent can only sense the current headings of its neighbors and independently updates its heading at times determined by its own clock. Two constrained consensus algorithms are proposed for the two versions. Both are guaranteed to reach a consensus under appropriate assumptions.

Original languageEnglish (US)
Article number7039607
Pages (from-to)1464-1469
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2015-February
Issue numberFebruary
DOIs
StatePublished - Jan 1 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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