Particle computation: Designing worlds to control robot swarms with only global signals

Micro- and nanorobots are often controlled by global input signals, such as an electromagnetic or gravitational field. These fields move each robot maximally until it hits a stationary obstacle or another stationary robot. This paper investigates 2D motion-planning complexity for large swarms of sim...

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Main Authors: Becker, Aaron, Demaine, Erik D., Fekete, Sandor P., McLurkin, James
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2015
Online Access:http://hdl.handle.net/1721.1/100006
https://orcid.org/0000-0003-3803-5703
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author Becker, Aaron
Demaine, Erik D.
Fekete, Sandor P.
McLurkin, James
author2 Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
author_facet Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Becker, Aaron
Demaine, Erik D.
Fekete, Sandor P.
McLurkin, James
author_sort Becker, Aaron
collection MIT
description Micro- and nanorobots are often controlled by global input signals, such as an electromagnetic or gravitational field. These fields move each robot maximally until it hits a stationary obstacle or another stationary robot. This paper investigates 2D motion-planning complexity for large swarms of simple mobile robots (such as bacteria, sensors, or smart building material). In previous work we proved it is NP-hard to decide whether a given initial configuration can be transformed into a desired target configuration; in this paper we prove a stronger result: the problem of finding an optimal control sequence is PSPACE-complete. On the positive side, we show we can build useful systems by designing obstacles. We present a reconfigurable hardware platform and demonstrate how to form arbitrary permutations and build a compact absolute encoder. We then take the same platform and use dual-rail logic to build a universal logic gate that concurrently evaluates AND, NAND, NOR and OR operations. Using many of these gates and appropriate interconnects we can evaluate any logical expression.
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spelling mit-1721.1/1000062022-09-29T21:41:07Z Particle computation: Designing worlds to control robot swarms with only global signals Becker, Aaron Demaine, Erik D. Fekete, Sandor P. McLurkin, James Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Demaine, Erik D. Micro- and nanorobots are often controlled by global input signals, such as an electromagnetic or gravitational field. These fields move each robot maximally until it hits a stationary obstacle or another stationary robot. This paper investigates 2D motion-planning complexity for large swarms of simple mobile robots (such as bacteria, sensors, or smart building material). In previous work we proved it is NP-hard to decide whether a given initial configuration can be transformed into a desired target configuration; in this paper we prove a stronger result: the problem of finding an optimal control sequence is PSPACE-complete. On the positive side, we show we can build useful systems by designing obstacles. We present a reconfigurable hardware platform and demonstrate how to form arbitrary permutations and build a compact absolute encoder. We then take the same platform and use dual-rail logic to build a universal logic gate that concurrently evaluates AND, NAND, NOR and OR operations. Using many of these gates and appropriate interconnects we can evaluate any logical expression. National Science Foundation (U.S.) (CPS-1035716) 2015-11-23T17:27:58Z 2015-11-23T17:27:58Z 2014-05 Article http://purl.org/eprint/type/ConferencePaper 978-1-4799-3685-4 http://hdl.handle.net/1721.1/100006 Becker, Aaron, Erik D. Demaine, Sandor P. Fekete, and James McLurkin. “Particle Computation: Designing Worlds to Control Robot Swarms with Only Global Signals.” 2014 IEEE International Conference on Robotics and Automation (ICRA) (May 2014). https://orcid.org/0000-0003-3803-5703 en_US http://dx.doi.org/10.1109/ICRA.2014.6907856 Proceedings of the 2014 IEEE International Conference on Robotics and Automation (ICRA) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv
spellingShingle Becker, Aaron
Demaine, Erik D.
Fekete, Sandor P.
McLurkin, James
Particle computation: Designing worlds to control robot swarms with only global signals
title Particle computation: Designing worlds to control robot swarms with only global signals
title_full Particle computation: Designing worlds to control robot swarms with only global signals
title_fullStr Particle computation: Designing worlds to control robot swarms with only global signals
title_full_unstemmed Particle computation: Designing worlds to control robot swarms with only global signals
title_short Particle computation: Designing worlds to control robot swarms with only global signals
title_sort particle computation designing worlds to control robot swarms with only global signals
url http://hdl.handle.net/1721.1/100006
https://orcid.org/0000-0003-3803-5703
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