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Vision-Based Road-Following Using Proportional Navigation

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Abstract

This paper describes a new approach for autonomous road following for an unmanned air vehicle (UAV) using a visual sensor. A road is defined as any continuous, extended, curvilinear feature, which can include city streets, highways, and dirt roads, as well as forest-fire perimeters, shorelines, and fenced borders. To achieve autonomous road-following, this paper utilizes Proportional Navigation as the basis for the guidance law, where visual information is directly fed back into the controller. The tracking target for the Proportional Navigation algorithm is chosen as the position on the edge of the camera frame at which the road flows into the image. Therefore, each frame in the video stream only needs to be searched on the edge of the frame, thereby significantly reducing the computational requirements of the computer vision algorithms. The tracking error defined in the camera reference frame shows that the Proportional Navigation guidance law results in a steady-state error caused by bends and turns in the road, which are perceived as road motion. The guidance algorithm is therefore adjusted using Augmented Proportional Navigation Guidance to account for the perceived road accelerations and to force the steady-state error to zero. The effectiveness of the solution is demonstrated through high-fidelity simulations, and with flight tests using a small autonomous UAV.

This research was supported by NASA under STTR contract No. NNA04AA19C to Scientific Systems Company, Inc. and Brigham Young University and by NSF award no. CCF-0428004. Portions of this work were performed while the second author was a National Research Council Fellow at the Air Force Research Laboratory, Munitions Directorate, Eglin, AFB.

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References

  1. Casbeer, D.W., Kingston, D.B., Beard, R.W., McLain, T.W., Li, S.M., Mehra, R.: Cooperative forest fire surveillance using a team of small unmanned air vehicles. Int. J. Syst. Sci. 37(6), 351 (2006)

    Article  MATH  Google Scholar 

  2. Frew, E., McGee, T., Kim, Z., Xiao, X., Jackson, S., Morimoto, M., Rathinam, S., Padial, J., Sengupta, R.: Vision-based road-following using a small autonomous aircraft. In: Proceedings of the IEEE Aerospace Conference, vol. 5, pp. 3006–3015 (2004)

    Google Scholar 

  3. Rathinam, S., Kim, Z., Soghikian, A., Sengupta, R.: Vision based following of locally linear structure using an unmanned aerial vehicle. In: Proceedings of the 44th IEEE Conference on Decision and Control and the European Control Conference, pp. 6085–6090. Seville, Spain (2005)

    Google Scholar 

  4. Ma, Y., Soatto, S., Kosecka, J., Sastry, S.: An Invitation to 3-D Vision: From Images to Geometric Models. Springer, New York (2003)

    Google Scholar 

  5. Zarchan, P.: Tactical and strategic missile guidance. In: Progress in Astronautics and Aeronautics, 4th edn, vol. 199. American Institute of Aeronautics and Astronautics, Reston (2002)

    Google Scholar 

  6. Lin, C.F.: Modern Navigation, Guidance, and Control Processing. Prentice Hall, Englewood Cliffs (1991)

    Google Scholar 

  7. Siouris, G.M.: Missile Guidance and Control Systems. Springer, New York (2004)

    Google Scholar 

  8. Bryson, A.E., Ho, Y.C.: Applied Optimal Control. Blaisdell, Waltham (1969)

    Google Scholar 

  9. Geulman, M.: Proportional navigation with a maneuvering target. IEEE Trans. Aerosp. Electron. Syst. 8, 364 (1972)

    Article  Google Scholar 

  10. Geulman, M., Idan, M., Golan, O.M.: Three-dimensional minimum energy guidance. IEEE Trans. Aerosp. Electron. Syst. 31, 835 (1995)

    Article  Google Scholar 

  11. Egbert, J.W., Beard, R.W.: Low altitude road following constraints using strap-down EO cameras on miniature air vehicles. In: Proceedings of the American Control Conference (2007)

    Google Scholar 

  12. Silveira, G.F., Carvalho, J.R.H., Madrid, M.K., Rives, P., Bueno, S.S.: A fast vision-based road following strategy applied to the control of aerial robots. In: Proceedings of the IEEE XIV Brazilian Symposium on Computer Graphics and Image Processing, pp. 226–231 (2001)

    Google Scholar 

  13. Broggi, A.: An image reorganization procedure for automotive road following systems. In: Proceedings of the IEEE International Conference on Image Processing, vol. 3, pp. 532–535 (1995)

    Article  Google Scholar 

  14. Jain, A.K.: Fundamentals of digital image processing. In: Chap. Image Analysis and Computer Vision, pp. 407–414. Prentice-Hall, Upper Saddle River (1989)

    Google Scholar 

  15. Beard, R.W., Curtis, J.W., Eilders, M., Evers, J., Cloutier, J.R.: Vision aided proportional navigation for micro air vehicles. In: Proceedings of the AIAA Guidance, Navigation, and Control Conference. Paper number AIAA-2007-6609. American Institute of Aeronautics and Astronautics, Hilton Head (2007)

    Google Scholar 

  16. Mehrandezh, M., Sela, N.M., Fenton, R.G., Benhabib, B.: Three-dimensional minimum energy guidance. IEEE Trans. Syst. Man Cybern. Part A Syst. Humans 30(3), 238 (2000)

    Article  Google Scholar 

  17. Stevens, B.L., Lewis, F.L.: Aircraft Control and Simulation, 2nd ed. Wiley, New York (2003)

    Google Scholar 

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Correspondence to Ryan S. Holt .

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Holt, R.S., Beard, R.W. (2009). Vision-Based Road-Following Using Proportional Navigation. In: Valavanis, K.P., Beard, R., Oh, P., Ollero, A., Piegl, L.A., Shim, H. (eds) Selected papers from the 2nd International Symposium on UAVs, Reno, Nevada, U.S.A. June 8–10, 2009. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8764-5_10

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  • DOI: https://doi.org/10.1007/978-90-481-8764-5_10

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  • Print ISBN: 978-90-481-8763-8

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