Heterogeneous Multi-Agent Systems: Reduced-Order Synchronization and Geometry

  • Frank L. LEWIS
  • , Bing CUI
  • , Tiedong MA
  • , Yongduan SONG*
  • , Chunhui ZHAO
  • *Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

48 Citations (Scopus)

Abstract

This technical note studies the geometry of multiple interacting heterogeneous multi-agent systems (MAS), where the agent dynamics may not be the same. A detailed geometric theory is given here based on the Kalman observable form decomposition and a further characterization of that portion of the leader's dynamics that is hidden within the dynamics of each agent. The output regulator equations are expressed in the new coordinates and are seen to be composed of an observable part and an unobservable part. These new geometric ideas are used to design efficient reduced-order synchronizers that guarantee synchronization of the outputs of all agents to a leader. It is shown that synchronization of heterogeneous MAS can be achieved if each agent has a mix of a dynamic synchronizer for the part of the leader's dynamics that is not contained in the agent's dynamics, and a static feedback synchronizer for the part that is.
Original languageEnglish
Pages (from-to)1391-1396
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume61
Issue number5
Early online date24 Aug 2015
DOIs
Publication statusPublished - May 2016
Externally publishedYes

Funding

This work was supported in part by the State Key Development Program for Basic Research of China (No. 2012CB215202), NSF Grant ECCS-1405173, ONR Grant N00014-13-1-0562, and N000141410718, ARO Grant W911NF-11-D-0001.

Keywords

  • geometric theory for cooperative control
  • Synchronization of heterogeneous multi-agent systems

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