Stabilization of stiff formations with a mix of direction and distance constraints

Adrian N. Bishop, Tyler H. Summers, Brian D.O. Anderson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

24 Citations (Scopus)

Abstract

Heterogenous formation shape control with a mix of inter-agent distance and bearing constraints involves the design of distributed control laws that ensure the formation moves such that these inter-agent constraints are achieved and maintained. This paper looks at the design of a distributed control scheme to solve the mixed constraint formation control problem with an arbitrary number of agents. A gradient control law is proposed based on the mathematical notion of a stiff formation structure and a corresponding stiff constraint matrix (which has origins in graph theory). This work provides an interesting and novel contrast to much of the existing work in formation control where distance-only or bearing-only constraints are typically maintained. A stability analysis is sketched and a number of other technical results are given.

Original languageEnglish
Title of host publication2013 IEEE International Conference on Control Applications, CCA 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1194-1199
Number of pages6
ISBN (Print)9781479915590
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event2013 IEEE International Conference on Control Applications, CCA 2013 - Hyderabad, India
Duration: 28 Aug 201330 Aug 2013

Publication series

NameProceedings of the IEEE International Conference on Control Applications

Conference

Conference2013 IEEE International Conference on Control Applications, CCA 2013
Country/TerritoryIndia
CityHyderabad
Period28/08/1330/08/13

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