Comments (5)
Thank you for your comment about line 172 - fixed in the latest commit.
About the theory being the model presented - a basic intro is presented in the readme files,
I suggest reading it.
About pursuit/evasion scenarios as you mentioned - I'm not sure we currently support these cases.
Can you be more specific?
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Thanks for you apply. I.ve read the readme and the math, alse dealling with Riccati equation by hand.
First, just wondering the differential equation form in the Tutorial, as
A = np.array([[-2, 1], [1, 4]]) B = [np.array([[1, 0], [0, 1]]), np.array([[0], [1]]), np.array([[1], [0]])] X0 = np.array([10, 20])
What's the meaning of them in the real world?
What's more, I shouldn't bother you for asking using diff-game in Bicycle Model in car. Should learn more about these two first.
Thanks.
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@zhang261007
PyDiffGame
is intended for applying control on linear systems, when the modeling is done using the state space representation.
In general terms, the main concept at hand is the differential equation you mentioned. The matrix A
is the system dynamics matrix - it defines the autonomous behavior of the system when no input is fed to it. The matrix B
is the input coefficients matrix - it defines the relations between the inputs to the differential model of the system and X0
is the initial vector of the variable X
, as we are solving a differential equation and therefore need an initial condition.
Here you can find a relevant Wikipedia entry for further reading:
https://en.wikipedia.org/wiki/State-space_representation#Linear_systems
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Thanks, and maybe as poor as my expression.
I know the math meaning of these matrix. I just wanna know what model A = np.array([[-2, 1], [1, 4]]) meaning, like pendulum , acrobots,Cart-Poles, or Quadrotors ?
Simple car as dxp=vpcosφp,dyp=vpsinφp. I wanna know the number [[-2, 1], [1, 4]] meaning in the real world.
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@zhang261007
These values are purely experimental and are meant to simulate the package functions.
If you have any actual values you would like to simulate and need any help, please comment further.
Thanks
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Related Issues (13)
- Closed loop finite horizon state space simulation is displays non-physical behavior HOT 1
- Implement Infinite horizon HOT 1
- Assure Matching Between Finite and Infinite Horizon HOT 1
- DataType error and the following ones HOT 1
- Add code coloring
- Add code number lines
- Add Input Size Explanation
- Make Legend Optional
- Add Jupyter Notebook Link
- Control Theory Explanations
- Add References
- Remove the 'm' from the readme HOT 1
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