Skip to main content

Local-Minimum-Free Artificial Potential Field Method for Obstacle Avoidance

  • Conference paper
  • First Online:
Intelligent Systems and Applications (IntelliSys 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 296))

Included in the following conference series:

Abstract

In this paper we present a new formulation of the local minimum problem which characterizes the artificial potential field method for obstacle avoidance. Our approach consists of detecting the local-minimum situation by measuring the angle formed by the two force vectors (repulsive force and attractive force vectors). Afterward, we suggest adding a new vector expressed in term of the angle formed by two vectors. The modified APF method we are suggesting ensures a local minimum-free obstacle-free path planning algorithm. The developed algorithm is verified through MATLAB platform simulations. One robot is put in some position moves within a 50 × 50 m2 area to reach a goal point while avoiding three stationary obstacles. Four different initial configurations are simulated. The robot dynamics are represented by first-order integrator model. The obtained trajectories showed a clear effectiveness of the proposed algorithm.

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 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
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. Khatib, O.: Real-time obstacle avoidance for manipulators and mobile robots. Int. J. Robot. Res. 5, 90–98 (1986)

    Article  Google Scholar 

  2. Patle, B., Babu, L.G., Pandey, A., Parhi, D., Jagadeesh, A.: A review: on path planning strategies for navigation of mobile robot. Def. Technol. 15, 582–606 (2019)

    Google Scholar 

  3. Sabudin, E.N., Omar, R., Melor, C.K., CKAN, H.: Potential field methods and their inherent approaches for path planning. ARPN J. Eng. Appl. Sci. 11(18), 10801–10805(2016)

    Google Scholar 

  4. Kunchev, V., Jain, L., Ivancevic, V., Finn, A.: Path planning and obstacle avoidance for autonomous mobile robots: a review. In: Gabrys, B., Howlett, R.J., Jain, L.C. (eds.) KES 2006. LNCS (LNAI), vol. 4252, pp. 537–544. Springer, Heidelberg (2006). https://doi.org/10.1007/11893004_70

    Chapter  Google Scholar 

  5. Minguez, J., Lamiraux, F., Laumond, J.-P.: Motion planning and obstacle avoidance. In: Siciliano, B., Khatib, O. (eds.) Springer Handbook of Robotics, pp. 1177–1202. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-32552-1_47

    Chapter  Google Scholar 

  6. Borenstein, J., Koren, Y.: Real-time obstacle avoidance for fast mobile robots. IEEE Trans. Syst. Man Cybern. 19, 1179–1187 (1989)

    Article  Google Scholar 

  7. Borenstein, J., Koren, Y.: The vector field histogram-fast obstacle avoidance for mobile robots. IEEE Trans. Robot. Autom. 7, 278–288 (1991)

    Article  Google Scholar 

  8. Ulrich, I., Borenstein, J.: VFH+: reliable obstacle avoidance for fast mobile robots. In: Proceedings of 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146). vol. 2, pp. 1572–1577 (1998)

    Google Scholar 

  9. Fox, D., Burgard, W., Thrun, S.: The dynamic window approach to collision avoidance. IEEE Robot. Autom. Mag. 4, 23–33 (1997)

    Article  Google Scholar 

  10. Kim, J., Khosla, P.: Real-time obstacle avoidance using harmonic potential functions. IEEE Trans. Robot. Autom. 8, 338–349 (1992)

    Article  Google Scholar 

  11. Arslan, O., Koditschek, D.: Sensor-based reactive navigation in unknown convex sphere worlds. Int. J. Robot. Res. 38, 196–223 (2018)

    Article  Google Scholar 

  12. Keyu, L., Yonggen, L., Yanchi, Z.: Dynamic obstacle avoidance path planning of UAV based on improved APF. In: 2020 5th International Conference on Communication, Image and Signal Processing (CCISP). pp. 159–163 (2020)

    Google Scholar 

  13. Rimon, E., Koditschek, D.E.: Exact robot navigation using artificial potential functions. IEEE Trans. Robot. Autom. 8, 501–518 (1992)

    Article  Google Scholar 

  14. Koditschek, D.: Exact robot navigation by means of potential functions: some topological considerations. In: Proceedings of 1987 IEEE International Conference on Robotics and Automation, pp. 1–6. IEEE (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lakhdar Guenfaf .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tahri, A., Guenfaf, L. (2022). Local-Minimum-Free Artificial Potential Field Method for Obstacle Avoidance. In: Arai, K. (eds) Intelligent Systems and Applications. IntelliSys 2021. Lecture Notes in Networks and Systems, vol 296. Springer, Cham. https://doi.org/10.1007/978-3-030-82199-9_20

Download citation

Publish with us

Policies and ethics