Skip to main content

Collision Avoidance for Multi-robot Systems with Coincident Paths Based on Fictitious Collision Points Using Nonlinear Formulation

  • Conference paper
  • First Online:
ROBOT 2017: Third Iberian Robotics Conference (ROBOT 2017)

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

Included in the following conference series:

  • 2319 Accesses

Abstract

This paper addresses the problem of collision avoidance along specified paths in multiple mobile robot systems. These collisions can be represented by points of intersection or coincident segments between paths. The proposal of the work is to model these segments where the collision is possible through fictitious points. In addition, the advantages of the nonlinear versus mixed integer linear formulation, widely used in the literature, are verified. Comparisons were made and it’s proved the superiority of the proposed method with respect to complexity, computational time and inclusion of nonlinear constraints. Moreover, the simulations performed using this technique indicate that the method is promissory for applications in real systems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Sujit, P., Kingston, D., Beard, R.: Cooperative forest fire monitoring using multiple uavs. In: 2007 46th IEEE Conference on Decision and Control, pp. 4875–4880. IEEE (2007)

    Google Scholar 

  2. Soltero, D.E., Smith, S.L., Rus, D.: Collision avoidance for persistent monitoring in multi-robot systems with intersecting trajectories. In: 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 3645–3652. IEEE (2011)

    Google Scholar 

  3. Jose, K., Pratihar, D.K.: Task allocation and collision-free path planning of centralized multi-robots system for industrial plant inspection using heuristic methods. Robot. Auton. Syst. 80, 34–42 (2016)

    Article  Google Scholar 

  4. Lee, B.H., Lee, C.G.: Collision-free motion planning of two robots. IEEE Trans. Syst. Man Cybern. 17(1), 21–32 (1987)

    Article  Google Scholar 

  5. Bien, Z., Lee, J.: A minimum-time trajectory planning method for two robots. IEEE Trans. Robot. Autom. 8(3), 414–418 (1992)

    Article  Google Scholar 

  6. Carpin, S., Pagello, E.: An experimental study of distributed robot coordination. Robot. Auton. Syst. 57(2), 129–133 (2009)

    Article  Google Scholar 

  7. Akella, S., Hutchinson, S.: Coordinating the motions of multiple robots with specified trajectories. In: IEEE International Conference on Robotics and Automation, 2002. Proceedings, ICRA 2002, vol. 1, pp. 624–631. IEEE (2002)

    Google Scholar 

  8. Peng, J., Akella, S.: Coordinating multiple robots with kinodynamic constraints along specified paths. Int. J. Robot. Res. 24(4), 295–310 (2005)

    Article  Google Scholar 

  9. Gonçalves, V.M., Pimenta, L.C., Maia, C.A., Pereira, G.A.: Coordination of multiple fixed-wing uavs traversing intersecting periodic paths. In: 2013 IEEE International Conference on Robotics and Automation (ICRA), pp. 849–854. IEEE (2013)

    Google Scholar 

  10. Yan, C., Yang, L.: Mixed-integer programming based approaches for the movement planner problem: model, heuristics and decomposition. Tsinghua University, Beijing, China (2012)

    Google Scholar 

  11. Zhao, Y., Ioannou, P.: Positive train control with dynamic headway based on an active communication system. IEEE Trans. Intell. Transp. Syst. 16(6), 3095–3103 (2015)

    Article  Google Scholar 

  12. Farinelli, A., Zanotto, E., Pagello, E., et al.: Advanced approaches for multi-robot coordination in logistic scenarios. Robot. Auton. Syst. 90, 34–44 (2016)

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank CNPq, FAPEMIG, INERGE and the Project “TEC4Growth - Pervasive Intelligence, Enhancers and Proofs of Concept with Industrial Impact NORTE-01-0145-FEDER-000020” is financed by the North Portugal Regional Operational Programme (NORTE 2020), under the PORTUGAL 2020 Partnership Agreement, and through the European Regional Development Fund (ERDF). This work is financed by the ERDF - European Regional Development Fund through the Operational Programme for Competitiveness and Internationalisation - COMPETE 2020 Programme, and by National Funds through the FCT - Fundaa̧o para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) within project POCI-01-0145-FEDER-006961.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marina B. A. Souza .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Souza, M.B.A., de Oliveira, E.J., de Oliveira, L.W., Moreira, A.P.G.M. (2018). Collision Avoidance for Multi-robot Systems with Coincident Paths Based on Fictitious Collision Points Using Nonlinear Formulation. 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_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-70833-1_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70832-4

  • Online ISBN: 978-3-319-70833-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics