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* docs: rsync with --delete to remove outdated pages on docs page * docs: update start page * docs: edit on Github link using html_context * docs: use sphinx-build * docs: nicer badges with links * docs: fix link * docs: add Contents overview to home page * docs: work on acados problem formulation; link HPIPM guide
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# Problem Formulation | ||
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Since `acados` mainly aims on providing SQP type methods for optimal control, it naturally needs optimal control structured nonlinear programming formulations (OCP NLP) and quadratic programming (QP) formulations to tackle the subproblems within SQP. | ||
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## Optimal control structured NLP (OCP NLP) | ||
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The problem formulation targeted by `acados` OCP solver is stated here: | ||
[https://github.com/acados/acados/blob/master/docs/problem_formulation/problem_formulation_ocp_mex.pdf](https://github.com/acados/acados/blob/master/docs/problem_formulation/problem_formulation_ocp_mex.pdf) | ||
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## QP formulations (dense and OCP structured) | ||
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`acados` relies on `HPIPM` for reformulating QP problems via (partial) condensing and expansion routines. | ||
In order to use them efficiently, we use the flexible QP formulations from `HPIPM`. | ||
Those are the optimal control structured quadratic programming formulation (OCP QP) and the | ||
dense QP formulation. | ||
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Both problem formulations are documented in the [`HPIPM guide`](https://github.com/giaf/hpipm/blob/master/doc/guide.pdf). | ||
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