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Circle Formation in Multi-robot Systems with Limited Visibility

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ROBOT 2017: Third Iberian Robotics Conference (ROBOT 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 693))

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Abstract

Pattern Formation in multi-robot systems was proposed in the 1990’s. Since then it has been extensively studied and applied in various ways. To date, the majority of the proposed algorithms that aimed to achieve geometric patterns in the literature have overlooked the visibility limitation in physical robots. In addition, a methodology to reach a complete coordinate agreement has not been adopted by many researchers as a prerequisite towards a successful formation. It should be stressed that such limitation and methodology have a strong effect on the desired pattern approach. In this paper, a decentralized approach for circle formation is highlighted. The main advantage of forming a circle is the flexibility to be generated with different initial distributions. Moreover, circle arrangement can be utilized as a preliminary sub-task for more complex activities in multi-robot systems. To handle the aforementioned realities, this approach is proposed under a realistic robot model – i.e. one that has a short visibility range and performs the task autonomously relying on the information picked by itself, or by the vicinity. In addition, robots do not initially have a pre-defined leader nor unique IDs. Simulation results have validated the robustness and flexibility of the proposed algorithm, where a circular pattern has been successfully constructed in a self-organized manner.

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Notes

  1. 1.

    Visibility refers to the way a robot observes the surrounding universe using its sensors. Robot’s sensors take snapshots of the positions of all other robots within its visibility range with respect to its local coordinate system.

  2. 2.

    For non-oblivious robots used in [25], the authors assume that each robot is endowed with unbounded memory to store past information and execute a non–oblivious algorithm. However, since the robots in this work rely only on the most recent past information, it is required that each robot is equipped with a a limited amount of memory. Hence, the semi-oblivious nature of the algorithm [14].

  3. 3.

    This period is determined so as to allow all robots to broadcast their “Hello message”. A suitable negotiation mechanism can be easily devised to determine the order in which all robots broadcast.

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Correspondence to Eman Hasan or Jorge Dias .

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Hasan, E., Al-Wahedi, K., Jumah, B., Dawoud, D.W., Dias, J. (2018). Circle Formation in Multi-robot Systems with Limited Visibility. In: Ollero, A., Sanfeliu, A., Montano, L., Lau, N., Cardeira, C. (eds) ROBOT 2017: Third Iberian Robotics Conference. ROBOT 2017. Advances in Intelligent Systems and Computing, vol 693. Springer, Cham. https://doi.org/10.1007/978-3-319-70833-1_27

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  • DOI: https://doi.org/10.1007/978-3-319-70833-1_27

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