Adaptive output formation-Tracking of heterogeneous multi-agent systems using time-varying L2-gain design

  • Shan ZUO*
  • , Yongduan SONG
  • , Frank L. LEWIS
  • , Ali DAVOUDI
  • *Corresponding author for this work

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

47 Citations (Scopus)

Abstract

This letter investigates the adaptive output formation-Tracking problem of general linear heterogeneous multi-agent systems (MAS). The leader's dynamics are only known to its neighboring followers. All followers are assumed to be non-introspective, i.e., they have no selfknowledge, and only receive relative output information from neighbors. First, both the desired formation and the formation reference, i.e., the leader's output trajectory, can be time-varying. Then, we provide the sufficient conditions for the existence of a distributed controller to guarantee the adaptive time-varying output formation-Tracking of heterogeneous MAS with an unknown leader. Finally, we develop a time-varying L2-gain design problem to achieve the adaptive output formation-Tracking. The local design procedures are rigorously derived in terms of solving novel time-varying matrix Riccati differential equations.
Original languageEnglish
Pages (from-to)236-241
Number of pages6
JournalIEEE Control Systems Letters
Volume2
Issue number2
Early online date9 Mar 2018
DOIs
Publication statusPublished - Apr 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Funding

This work was supported in part by the National Science Foundation under Grant ECCS-1405173, and in part by the Office of Naval Research under Grant N00014-13-1-0562, Grant N00014-14-1-0718, and Grant N00014-17-1-2239.

Keywords

  • Adaptive control
  • Distributed observer
  • Heterogeneous multi-agent systems
  • Time-varying L2-gain design

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