Recent content by RamosPinto

  1. RamosPinto

    I Two point boundary problem - Shooting method

    Thanks for your answer! The optimal path will have steering, also in the stream. I could go and show you the preliminary math, but then we'd go into part of the research that isn't a problem at this point. I'm struggling with solving the two point boundary problem and would very much appreciate...
  2. RamosPinto

    I Two point boundary problem - Shooting method

    No problem, thanks anyway. Hopefully someone else can help me
  3. RamosPinto

    I Two point boundary problem - Shooting method

    x0, y0, xf, yf are constant. These are the starting and ending location in a Cartesian plane. The thrust speed of the vehicle, v, is also constant. I'm not exactly sure how to say this in English, but what I mean is that when the vehicle has a thrust speed of unit 2, and there is a flow field...
  4. RamosPinto

    I Two point boundary problem - Shooting method

    First of all, thanks for your reply, Chestermiller! The final time is unknown and can be anything. However, the initial goal is to minimize the final time, such that the most optimal routing is obtained. This is the performance measure I want to minimize: By means of Pontryagin's minimum...
  5. RamosPinto

    I Two point boundary problem - Shooting method

    I'm currently trying to solve the following two-point boundary problem by means of the shooting method: To clarify, I'm investigating the optimal route of aerial/marine vehicles from one point to another point, considering a flow field. * The starting and ending locations are set as x0, y0...
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