Distributed configuration formation with modular robots using (sub)graph isomorphism-based approach

Document Type

Article

Publication Date

4-1-2019

Abstract

We consider the problem of configuration formation in modular robot systems where a set of modules that are initially in different configurations and located at different locations are required to assume appropriate positions so that they can get into a new, user-specified, target configuration. We propose a novel algorithm based on (sub)graph isomorphism, where the modules select locations or spots in the target configuration using a utility-based framework, while retaining their original configuration to the greatest extent possible, to reduce the time and energy required by the modules to disconnect and connect multiple times to form the target configuration. We have shown analytically that our proposed algorithm is complete and guarantees a Pareto-optimal allocation. Experimental simulations of our algorithm with different numbers of modules in different initial configurations and located initially at different locations, show that the planning time of our algorithm is nominal (order of msec for 100 modules). We have also compared our algorithm against a market-based allocation algorithm and shown that our proposed algorithm performs better in terms of time and number of messages exchanged.

Publication Title

Autonomous Robots

Volume

43

Issue

4

First Page

837

Last Page

857

Digital Object Identifier (DOI)

10.1007/s10514-018-9759-9

ISSN

09295593

E-ISSN

15737527

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