Topics in matrix analysis
SIAM Review
Utility based sensor selection
Proceedings of the 5th international conference on Information processing in sensor networks
Sensor selection via convex optimization
IEEE Transactions on Signal Processing
Formal Theory of Noisy Sensor Network Localization
SIAM Journal on Discrete Mathematics
Hybrid three-dimensional formation control for unmanned helicopters
Automatica (Journal of IFAC)
Mutual localization in multi-robot systems using anonymous relative measurements
International Journal of Robotics Research
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This paper considers the problem of reduction of self-localization errors in multi-agent autonomous formations when only distance measurements are available to the agents in a globally rigid formation. It is shown that there is a relationship between different selections of anchors, agents with exactly known positions, and the error induced by measurement error on localization solution. This fact is exploited to develop a mechanism to select anchors in order to minimize the effects of inter-agent distance measurement errors on localization solution. Finally, some simulation results are presented to demonstrate the optimal anchor selection for a particular general class of formations, the globally rigid formations.