Skip to main content

Robust Supervisory-Based Control Strategy for Mobile Robot Navigation

  • Conference paper
  • First Online:
Book cover Intelligent Autonomous Systems 13

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 302))

Abstract

This work introduces a novel control strategy to allow a class of mobile robots to robustly navigate in a dynamic and potentially cluttered environment. The proposed approach combines a high-level motion planner, designed considering the supervisory control theory, and a low-level stabilizing feedback control law. Taking advantage of a symbolic description of the vehicle dynamics and of the environment, the supervisor reactively selects the current motion primitive to be executed so as to reach the desired target location optimally with respect to a given index cost. Sufficient conditions ensuring boundedness of the tracking error are derived in order to handle the interaction between the discrete-time dynamics of the supervisor and the continuous-time dynamics of the low-level control loop in charge of tracking the desired reference. The resulting approach allows to employ supervisory control tools online without affecting the stability properties of the continuous-time low-level control loop. The results are demonstrated by considering, as application, the kinematic model of an aerial vehicle navigating in a cluttered environment.

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 349.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
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. C. Belta, A. Bicchi, M. Egerstedt, E. Frazzoli, E. Klavins, and G.j. Pappas. Symbolic planning and control of robot motion: Finding the missing pieces of current methods and ideas. IEEE Robotics & Automation Magazine, pages 61–70, March 2007.

    Google Scholar 

  2. C.G. Cassandras and S. Lafortune. Introduction to Discrete Event System. Springer, 2008.

    Google Scholar 

  3. E.W. Dijkstra. A note on two problems in connexion with graph. Numerische Mathematik, 1:269–271, 1959.

    Google Scholar 

  4. E. Frazzoli. Robust hybrid control for autonomous vehicle motion planning. Ph.D. Thesis, Massachusetts Institute Of Technology, 2001.

    Google Scholar 

  5. E. Frazzoli, M.A. Dahlel, and E. Feron. Maneuver-based motion planning for nonlinear systems with symmetries. IEEE Transaction on Robotics, 21(6):1077–1091, december 2005.

    Google Scholar 

  6. M. Furci, R. Naldi, and A. Paoli. A supervisory control strategy for robot-assisted search and rescue in hostile environments. Emerging Technologies & Factory Automation (ETFA), 2013 IEEE 18th Conference on, September 2013.

    Google Scholar 

  7. A. Hornung, K.M. Wurm, M. Bennewitz, Stachniss C, and W. Burgard. Octomap: An efficient probabilistic 3d mapping framework based on octress. Autonomous Robots, 34:189–206, 2013.

    Google Scholar 

  8. S. Karaman and E. Frazzoli. Sampling-based algorithms for optimal motion planning. International Journal of Robotics Research, 30:846–894, 2011.

    Google Scholar 

  9. L. Kavraki, P. Svestka, J.-C. Latombe, and M. Overmars. Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Transaction on Robotics and Automation, August 1994.

    Google Scholar 

  10. H.K Khalil. Nonlinear System. Prentice Hall, 2002.

    Google Scholar 

  11. S.M. LaValle. Rapidly-exploring random trees: A new tool for path planning. Computer Science Dept., Iowa State University, October 1998.

    Google Scholar 

  12. S.M. LaValle. Motion planning: The essentials. IEEE Robotics & Automation Magazine, 18:79–89, 2011.

    Google Scholar 

  13. Daniel Liberzon. Switching in Systems and Control. Systems and Control: Foundations and Applications. Birkhauser, Boston, MA, June 2003.

    Google Scholar 

  14. R.R. Murphy. Humans, robots, rubble and research. Interactions, 12:37–39, 2005.

    Google Scholar 

  15. P. Pounds, R. Mahony, and P. Corke. Modelling and control of a large quadrotor robot. Control Eng. Pract., 18(7):691–699, 2010.

    Google Scholar 

  16. J. Ryde and H. Hu. 3d mapping with multi-resolution occupied voxel list. Autonomous Robots, 28:169–185, 2010.

    Google Scholar 

  17. R.G. Sanfelice and E. Frazzoli. A hybrid control framework for robust maneuver-based motion planning. American Control Conference, pages 2254–2259, 2008.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Michele Furci .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Furci, M., Naldi, R., Paoli, A., Marconi, L. (2016). Robust Supervisory-Based Control Strategy for Mobile Robot Navigation. In: Menegatti, E., Michael, N., Berns, K., Yamaguchi, H. (eds) Intelligent Autonomous Systems 13. Advances in Intelligent Systems and Computing, vol 302. Springer, Cham. https://doi.org/10.1007/978-3-319-08338-4_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08338-4_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08337-7

  • Online ISBN: 978-3-319-08338-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics