time-optimal problem

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 , , , ,

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

    Optimal synthesis in the Reeds and Shepp problem with a free final direction

  • Andrei V. Dmitruk
  • Ivan Samylovskiy
    • Categories Applications - Science and Engineering, Mechanical Engineering Tags , , , ,

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