Skip to main content

Control of Multiple Mobile Robots in Dynamic Formations

  • Conference paper
  • First Online:
Proceedings of DINAME 2017 (DINAME 2017)

Abstract

This work deals with the control of multiple mobile robots in trajectory, while maintaining a formation, through the use of State-Dependent Riccati Equation control method. Three robots with differential drive are used in a scheme in which one is considered the leader and the other two are considered followers. By changing formation parameters, this work seeks to achieve two different formations, V-shaped and Echelon formation, very common in the military field. Simulations are performed using LabVIEW, demonstrating the successful application of the control method in mobile robot tracking problems while maintaining formations.

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
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Chi, T., Zhang, C., Song, Y., Feng, J.: A strategy of multi-robot formation and obstacle avoidance in unknown environment. In: 2016 IEEE International Conference on Information and Automation (ICIA), pp. 1455–1460. Ningbo (2016)

    Google Scholar 

  2. Feng, J., Zhang, C., Song, Y., Chi, T.: A multi-robot dynamic formation scheme based on rigid formation. In: 2016 IEEE International Conference on Information and Automation (ICIA), pp. 1450–1454. Ningbo (2016)

    Google Scholar 

  3. Yang, L., Li, J.: A behavioral multi-robot formation control approach in obstacle environments. In: 2016 Chinese Control and Decision Conference (CCDC), pp. 6767–6771. Yinchuan (2016)

    Google Scholar 

  4. Meng, Z., Ren, W., Cao, Y., You, Z.: Leaderless and leader-following consensus with communication and input delays under a directed network topology. IEEE Trans. Syst. Man, Cybern. Part B (Cybernetics) 41(1), 75–88 (2011)

    Article  Google Scholar 

  5. Xiao, H., Chen, C.L.P.: Leader-follower multi-robot formation system using model predictive control method based on particle swarm optimization. In: 2017 32nd Youth Academic Annual Conference of Chinese Association of Automation (YAC), pp. 480–484. Hefei (2017)

    Google Scholar 

  6. Park, B.S., Yoo, S.J.: Adaptive leader-follower formation control of mobile robots with unknown skidding and slipping effects. Int. J. Control Autom. Syst. 13, 587–594 (2015)

    Article  Google Scholar 

  7. Consolini, L., Morbidi, F., Prattichizzo, D., Tosques, M.: Leader-follower formation control of nonholonomic mobile robots with input constraints. Automatica 44(5), 1343–1349 (2008)

    Article  MathSciNet  Google Scholar 

  8. Dai, Y., Lee, S.-G.: The leader-follower formation control of nonholonomic mobile robots. Int. J. Control Autom. Syst. 10(2), 350–361 (2012)

    Article  Google Scholar 

  9. Rafikova, E., Rafikov, M., Rinaldo, G.: Synchronization of the mobile robot to a chaotic trajectory. J. Appl. Nonlinear Dyn. 5(3), 325–335 (2016)

    Article  MathSciNet  Google Scholar 

  10. Siciliano, B., Sciavicco, L., Villani, L., Oriolo, G.: Robotics: Modelling, Planning and Control, 1st edn. Springer Publishing Company, Incorporated (2008)

    Google Scholar 

  11. Tang, F., Si, B., Ji, D.: A prey-predator model for efficient robot tracking. In: 2017 IEEE International Conference on Robotics and Automation (ICRA), pp. 3568–3574. Singapore (2017)

    Google Scholar 

  12. Ma, L., Yao, Y., Wang, M.: The optimizing design of wheeled robot tracking system by PID control algorithm based on BP neural network. In: 2016 International Conference on Industrial Informatics—Computing Technology, Intelligent Technology, Industrial Information Integration (ICIICII), pp. 34–39. Wuhan (2016)

    Google Scholar 

  13. Wen, G., Duan, Z., Chen, G., Yu, W.: Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies. IEEE Trans. Circuits Syst. I: Regular Papers, 61(2), 499–511 (2014); Wang, J., Xin, M.: Multi-agent consensus algorithm with obstacle avoidance via optimal control approach. In: American Control Conference (ACC), pp. 2783–2788 (2011)

    Google Scholar 

  14. Chung, S.-J., Slotine, J.J.: Cooperative robot control and concurrent synchronization of lagrangian systems. IEEE Trans. Robot. 25(3), 686–700 (2009)

    Article  Google Scholar 

  15. Khoo, S., Xie, L., Man, Z.: Robust finite-time consensus tracking algorithm for multirobot systems. IEEE/ASME Trans. Mechatron. 14(2), 219–228 (2009)

    Article  Google Scholar 

  16. Sun, D., Mills, J.K.: Adaptive synchronized control for coordination of two robot manipulators. IEEE Int. Conf. Robot. Auto. 1(4), 498

    Google Scholar 

  17. Mracek, C., Cl.outier, J.: Control designs for the nonlinear benchmark problem via the state-dependent Riccati equation method. Int. J. Robust Nonlinear Control 8(4–5), 401–433 (1998)

    Article  MathSciNet  Google Scholar 

  18. Çimen, T.: Systematic and effective design of nonlinear feedback controllers via the state-dependent Riccati equation (SDRE) method. Annual Rev. Control 34(1), 32–51 (2010)

    Article  Google Scholar 

Download references

Acknowledgements

The first author would like to thank CAPES for the support on this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guilherme Rinaldo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Rinaldo, G., Rafikova, E., Rafikov, M. (2019). Control of Multiple Mobile Robots in Dynamic Formations. In: Fleury, A., Rade, D., Kurka, P. (eds) Proceedings of DINAME 2017. DINAME 2017. Lecture Notes in Mechanical Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-91217-2_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-91217-2_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91216-5

  • Online ISBN: 978-3-319-91217-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics