Optimal synthesis in the Reeds and Shepp problem with a onesided variation of velocity

  • Andrei V. Dmitruk
  • Ivan Samylovskiy
    • Categories Control Applications, Mechanical Engineering Tags , , , , Short URL: https://optimization-online.org/?p=12041

    We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a onesided variation of the speed and a free final direction of velocity. Using Pontryagin Maximum Principle, we obtain all possible types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.

    Citation

    http://link.springer.com/article/10.1007/s10957-013-0286-8