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  Decentralized rigidity maintenance control with range measurements for multi-robot systems

Zelazo, D., Franchi, A., Bülthoff, H., & Robuffo Giordano, P. (2015). Decentralized rigidity maintenance control with range measurements for multi-robot systems. International Journal of Robotics Research, 34(1), 105-128. doi:10.1177/0278364914546173.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-4787-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0000-B739-2
Genre: Journal Article

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Zelazo, D, Author
Franchi, A1, Author              
Bülthoff, HH1, Author              
Robuffo Giordano, P1, Author              
Affiliations:
1Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497797              

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 Abstract: This work proposes a fully decentralized strategy for maintaining the formation rigidity of a multi-robot system using only range measurements, while still allowing the graph topology to change freely over time. In this direction, a first contribution of this work is an extension of rigidity theory to weighted frameworks and the rigidity eigenvalue, which when positive ensures the infinitesimal rigidity of the framework. We then propose a distributed algorithm for estimating a common relative position reference frame amongst a team of robots with only range measurements in addition to one agent endowed with the capability of measuring the bearing to two other agents. This first estimation step is embedded into a subsequent distributed algorithm for estimating the rigidity eigenvalue associated with the weighted framework. The estimate of the rigidity eigenvalue is finally used to generate a local control action for each agent that both maintains the rigidity property and enforces additional constraints such as collision avoidance and sensing/communication range limits and occlusions. As an additional feature of our approach, the communication and sensing links among the robots are also left free to change over time while preserving rigidity of the whole framework. The proposed scheme is then experimentally validated with a robotic testbed consisting of six quadrotor unmanned aerial vehicles operating in a cluttered environment.

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 Dates: 2015-01
 Publication Status: Published in print
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 Identifiers: DOI: 10.1177/0278364914546173
BibTex Citekey: ZelazoFBR2013
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Title: International Journal of Robotics Research
Source Genre: Journal
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Pages: - Volume / Issue: 34 (1) Sequence Number: - Start / End Page: 105 - 128 Identifier: -