A distributed optimal strategy for rendezvous of multi-robots with random node failures

Hyongju Park, Seth Hutchinson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider the problem of designing distributed control algorithms to solve the rendezvous problem for multi-robot systems with limited sensing, for situation in which random nodes may fail during execution. We first formulate a distributed solution based upon averaging algorithms that have been reported in the consensus literature. In this case, at each stage of execution a 1-step sequential optimal control (i.e., naïve greedy algorithm) is used. We show that by choosing an appropriate constraint set, finite-time point convergence is guaranteed. We then propose a distributed stochastic optimal control algorithm that minimizes a mean-variance cost function for each stage, given that the probability distribution for possible node failures is known a priori. We show via simulation results that our algorithm provides competitive rendezvous task performance in comparison to that of the classical circumcenter algorithm for cases in which there are no node failures. Then we show, via examples with multiple node failures, that our proposed algorithm provides better rendezvous task performance than contemporary algorithms in cases for which failures occur. Additionally, we generate and compare a spectrum of results by varying the probabilities of node failures, or varying the weight value for the variance term in the cost functional. The results suggest that by choosing the design parameters appropriately, one may adjust the degree of soft constraints of the controller as well.

Original languageEnglish (US)
Title of host publicationIROS 2014 Conference Digest - IEEE/RSJ International Conference on Intelligent Robots and Systems
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1155-1160
Number of pages6
ISBN (Electronic)9781479969340
DOIs
StatePublished - Oct 31 2014
Event2014 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2014 - Chicago, United States
Duration: Sep 14 2014Sep 18 2014

Publication series

NameIEEE International Conference on Intelligent Robots and Systems
ISSN (Print)2153-0858
ISSN (Electronic)2153-0866

Other

Other2014 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2014
Country/TerritoryUnited States
CityChicago
Period9/14/149/18/14

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Vision and Pattern Recognition
  • Computer Science Applications

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