QP formulation from the MPC toolbox
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Elias Prytz
on 20 Oct 2023
Commented: Elias Prytz
on 23 Oct 2023
Hi,
I am studying different QP solvers (e.g. qpOASES, OSQP, DAQP and Gurobi) for a project I am doing at my university. I want to test their capabilites in MPC. I have tested them in the aircraft example and gotten some reasonable results, but now I wonder which QP formulation Matlab's mpc generates.
Does it create some sort of reduced-space condensed QP based on the state-space model? I am guessing this is the case because the hessian (H) of the objective function is only 11x11 for the MPC example mentioned above, with a horizon of 50 (4 states and 2 inputs).
I am guessing that it is not some sort of step-response model formulation (not for the aircraft model at least) because the model has unstable poles.
Does anyone have insights into this?
Thanks
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Accepted Answer
Emmanouil Tzorakoleftherakis
on 23 Oct 2023
Edited: Emmanouil Tzorakoleftherakis
on 23 Oct 2023
We are currently using the dense formula as you mentioned, but also working on adding support for sparse problems. The following two links may be helpful:
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