Decentralized formation control via the edge Laplacian

Daniel Zelazo, Amirreza Rahmani, Jasmine Sandhu, Mehran Mesbahi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

Formation keeping strategies for groups of interconnected agents have recently been of great research interest in the systems community. In this work, we explore the utility of the edge variant of the graph Laplacian in the synthesis of formation keeping control laws. Along the way, we show a general duality relation between networked dynamic systems with measurement restrictions and those with control constraints. In both cases, it is shown that the closed loop error dynamics for the formation reduces to the edge agreement problem- which in turn- can be fully characterized via the spanning trees of the underlying interconnection topology.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages783-788
Number of pages6
DOIs
StatePublished - Sep 30 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Other

Other2008 American Control Conference, ACC
CountryUnited States
CitySeattle, WA
Period6/11/086/13/08

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Dynamical systems
Topology

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Zelazo, D., Rahmani, A., Sandhu, J., & Mesbahi, M. (2008). Decentralized formation control via the edge Laplacian. In Proceedings of the American Control Conference (pp. 783-788). [4586588] https://doi.org/10.1109/ACC.2008.4586588

Decentralized formation control via the edge Laplacian. / Zelazo, Daniel; Rahmani, Amirreza; Sandhu, Jasmine; Mesbahi, Mehran.

Proceedings of the American Control Conference. 2008. p. 783-788 4586588.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zelazo, D, Rahmani, A, Sandhu, J & Mesbahi, M 2008, Decentralized formation control via the edge Laplacian. in Proceedings of the American Control Conference., 4586588, pp. 783-788, 2008 American Control Conference, ACC, Seattle, WA, United States, 6/11/08. https://doi.org/10.1109/ACC.2008.4586588
Zelazo D, Rahmani A, Sandhu J, Mesbahi M. Decentralized formation control via the edge Laplacian. In Proceedings of the American Control Conference. 2008. p. 783-788. 4586588 https://doi.org/10.1109/ACC.2008.4586588
Zelazo, Daniel ; Rahmani, Amirreza ; Sandhu, Jasmine ; Mesbahi, Mehran. / Decentralized formation control via the edge Laplacian. Proceedings of the American Control Conference. 2008. pp. 783-788
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