Timeline for Optimization motion planning by using Bellman equation
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2018 at 7:13 | comment | added | LAM NGOC TAM | Thank you. I am trying to establish the motion planning on discrete time (on the grid) then using the part of Bellman equation to optimize the path planning. The previous motion equation is used for continuous time. | |
| Sep 3, 2018 at 14:14 | comment | added | André | @LAMNGOCTAM Thanks for the additional info. On a curved plane, things get more complicated. Your $P_{ss\prime}^a$ is the probably the most interesting part here. I would suggest you discretize the plane in a fine grid, this will already make things easier. If you now have a cell in this grid, you can calculate how the ball moves in one timestep. You can also apply an action on this movement and calculate its influence. And you will have to incorporate that into $P_{ss\prime}^a$. Make it 1 for the state you just calculated and 0 for the rest. | |
| Sep 3, 2018 at 14:03 | history | edited | André | CC BY-SA 4.0 |
added 29 characters in body
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| Sep 3, 2018 at 13:59 | comment | added | LAM NGOC TAM | @André The ball rolls from A to B via a motion equation. If the trajectory is a curve, I still confuse how to formulate the math model using the Bellman equation via discretization. For example, which part of the equation which can be optimized. | |
| Sep 3, 2018 at 13:36 | history | answered | André | CC BY-SA 4.0 |