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Parametric Continuous Curvature Path for Smooth Steering with Car-like Vehicles

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Intelligent Autonomous Systems 13

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

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Abstract

This paper proposes a solution to obtain parametric continuous curvature path for nonholonomic car-like vehicle and addresses also efficient algorithm to obtain an appropriate reference path for smooth path following. As a local planner using parametrically adjustable clothoid, the proposed solution, of constant sharpness, permits to obtain continuous curvature and thus smooth steering behavior of the vehicle which enhances the passenger comfort. The proposed parametric continuous curvature path is integrated in a global planner which includes an appropriate way of isolating the boundary conditions of each local planner. This last characteristic is useful to reconstruct a smooth reference path from raw data of actual vehicle trajectory. The solution is applied to a real road datasets and tested using shape Lyapunov based controller for validating the effectiveness on path following performance. The simulated results show reliable and enhanced performance for vehicle path following when the proposed algorithms are used.

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References

  1. Montes, N., Mora, M.C., Tornero, J.: Trajectory generation based on rational Bezier curves as clothoids. IEEE Intel. Vehicles Symposium (2007) 505–510.

    Google Scholar 

  2. Labakhua, L., Nunes, U., Rodrigues, R., Leite, F.S.: Smooth trajectory planning for fully automated passengers vehicles: Spline and Clothoid based methods and its simulation. In et al., A.C., ed.: Informatics in Control Automation and Robotics. Volume 15 of Lecture Notes Electrical Engineering. (2008) 159–182 doi:10.1007/978-3-540-79142-3-14.

  3. Dubins, L.E.: On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents. American Journal of Mathematics 79 (1957) 497–516.

    Article  MathSciNet  MATH  Google Scholar 

  4. Reeds, J.A., Shepp, L.A.: Optimal paths for a car that goes both forwards and backwards. Pacific Journal of Mathematics 145(2) (1990) 367–393.

    Article  MathSciNet  Google Scholar 

  5. Fraichard, T., Scheuer, A.: From Reeds and Shepp’s to continuous curvature paths. IEEE Trans. on Robotics 20 (2004) 1025–1035.

    Article  Google Scholar 

  6. Girbes, V., Armesto, L., Tornero, J.: On generating continuous-curvature paths for line following problem with curvature and sharpness constraints. IEEE Int. Conf. on Robotics and Automation (2011) 6156–6161.

    Google Scholar 

  7. Choi, J.W., Curry, R.E., Elkaim, G.H.: Curvature-continuous trajectory generation with corridor constraint for autonomous ground vehicles. IEEE conf. on Decision and Control (2010) 7166–7171.

    Google Scholar 

  8. Villagra, J., Milantes, V., Perez, J., Godoy, J.: Smooth path and speed planning for an automated public transport vehicle. Robotics and Autonomous Systems 60 (2012) 252–265 doi:10.1016/j.robot.2011.11.001.

    Google Scholar 

  9. Brezak, M., Petrovic, I.: Real time approximation of clothoids with bounded error for path planning applications. IEEE Trans. on Robotics 30(2) (2014) 507–515.

    Article  Google Scholar 

  10. Parlangeli, G., Indiveri, G.: Dubins inspired 2d smooth paths with bounded curvature and curvature derivative. Proc. of the 7th IFAC Symposium on Intelligent Autonomous Vehicles (2010) 252–257.

    Google Scholar 

  11. Walton, D.J., Meek, D.S.: A controlled clothoid spline. Computers and Graphics 29 (2005) 353–363.

    Article  Google Scholar 

  12. Wilde, D.K.: Computing clothoid segments for trajectory generation. IEEE/RSJ Int. Conf. on Intel. Robots and Systems (Oct. 2009) 2440–2445.

    Google Scholar 

  13. Solea, R., Nunes, U.: Trajectory planning with velocity planner for fully-automated passenger vehicle. Intel. Transportation Systems Conf. (Sep. 2006) 474–480.

    Google Scholar 

  14. Avanzini, P., Thuilot, B., Martinet, P.: Manual convoying of automated urban vehicles relying on monocular vision. Int. Vehicles Symposium (June. 2012) 19–24.

    Google Scholar 

  15. Khatib, O.: The potential field approach and operational space formulation in robot control. Adaptive and Learning Systems: Theory and Applications (1986) 367–377.

    Google Scholar 

  16. Mouad, M., Adouane, L., Khadraoui, D., Martinet, P.: Mobile robot navigation and obstacles avoidance based on planning and re-planning algorithm. 10th International IFAC Symposium on Robot Control (SYROCO’12) (5–7, September 2012).

    Google Scholar 

  17. Meek, D.S., Walton, D.J.: An arc spline approximation to a clothoid. J. of Computation and Applied Mathematics 170 (2004) 59–77.

    Article  MathSciNet  MATH  Google Scholar 

  18. Canudas, C., Sicliano, B., Bastin, G.: Theory of Robot Control. Springer, ISBN 3-540-76054-7, Berlin Heidelberg (1996).

    Google Scholar 

  19. DeLuca, A., Oriolo, G., Samson, C.: Feedback control of a nonholonoic car-like robot(Robot Motion Planning and Control). Springer-Verlag, Berlin Heidelberg (1998).

    Google Scholar 

  20. Soetanto, D., Lapierre, L., Pascoal, A.: Adaptive, non-singular path-following control of dynamic wheeled robots. Proc. of IEEE Conf. on Decision and Control (1998) 1765–1770.

    Google Scholar 

  21. Samson, C.: Control of chained systems: application to path following and time-varying point stabilization of mobile robots. IEEE Trans. on Automatic Control 40(1) (1995) 64–77.

    Article  MathSciNet  MATH  Google Scholar 

  22. Piazzi, A., Bianco, C.G.: Quintic g2-splines for trajectory planning of autonomous vehicles. IEEE Intel. Vehicles Symposium (2000) 198–203.

    Google Scholar 

  23. Duda, R.O., Hart, P.E.: Use of the hough transformation to detect lines and curves in pictures. Graphics and Image Processing 15(1) (1972) 11–15.

    MATH  Google Scholar 

  24. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. Wiley-Interscience (2001).

    Google Scholar 

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Correspondence to Jean-Pierre Derutin .

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Gim, S., Adouane, L., Lee, S., Derutin, JP. (2016). Parametric Continuous Curvature Path for Smooth Steering with Car-like Vehicles. 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_96

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  • DOI: https://doi.org/10.1007/978-3-319-08338-4_96

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08337-7

  • Online ISBN: 978-3-319-08338-4

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