casadi | symbolic framework for numeric optimization implementing | Math library
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QUESTION
I want to integrate CasADi into a CMake-based C++ codebase as an ExternalProject
. For this purpose, I would like to use pre-compiled libraries because building from source is not recommended. So far, I have only managed to write the following:
ANSWER
Answered 2022-Mar-20 at 20:51There is a natural problem with ExternalProject_Add:
ExternalProject_Add executes commands only on build.
Hence, download will not happen at the configure stage of your project which makes it difficult to use find_package
, because the files cannot be found during your first configure run.
Take this CMakeLists.txt:
QUESTION
How can i discretize the following nonlinear system. Im using Matlab and Casadi for Model Predictive Control. The Constant C is betwenn 0 and 1.
...ANSWER
Answered 2021-Oct-02 at 12:23If you are just looking to build it from blocks, something like this should work:
You basically need to invert the formula to:
QUESTION
I'm new to MIT Drake
, I was using CasADi (ipopt)
for a mecanum wheeled model for MPC
.
In CasADi
, I can create a symbolic variable for the optimization parameters (i.e., initial state and target state).
Then use it to compute the error in state, how can I get an equivalent functionality in Drake
?
ANSWER
Answered 2021-Apr-10 at 15:52I've definitely seen mechanum wheels work in drake, but doing trajectory optimization for them requires some thought. For most every wheeled robot trajectory optimization, you want to use a minimal coordinates model. I discuss that briefly in the ballbot example in the notebook associated with http://underactuated.csail.mit.edu/acrobot.html
And for formulating your MPC, I would recommend the notes in http://underactuated.csail.mit.edu/trajopt.html
QUESTION
So I want to use Neural Network as my learned dynamic model function for MPC control in Python. I have not found any example/documention of doing this with open-source optimization packages like CASADI , GEKKO , do-mpc ? does any one have some reference/suggestion for achieving this? THANKS
Edit 01 a) I have tried CASADI + tensorflow model CASADI have a blog of how to use tensorflow model with CASADI. I am entirely not sure if I have done the implementation correctly as obviously I am not getting expected results. b) Upon looking on Internet there is "mpc. Pytorch" library which is a mpc toolbox which provides nn models as well. Not sure of its capability C) do-mpc which is based on CASADI is planning to integrate NN model. d) AS mentioned by @john gekko has the capability to use NN in mpc.
does any one know any other ways?
...ANSWER
Answered 2021-Jan-14 at 21:18Here is an example with a Neural Network and MPC: TCLab G - Nonlinear MPC. A potentially better way is to use an LSTM to emulate control (PID or MPC) as shown in a series of articles in Towards Data Science. This approach is also the basis for many explicit MPC publications that use methods for storage and retrieval of the solutions. I published an article on this method that includes a case study with ISAT and a Neural Network.
Hedengren, J. D. and Edgar, T. F., Approximate Nonlinear Model Predictive Control with In Situ Adaptive Tabulation, Computers and Chemical Engineering, Volume 32, pp. 706-714, 2008. Preprint
Using a storage and retrieval approach, you don't need to solve the MPC application each cycle, only use the machine learned prediction that is trained based on prior MPC moves.
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