Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed MPC with ALADIN -- A Tutorial   This paper consists of a tutorial on the Augmented Lagrangian based
Alternating Direction Inexact Newton method (ALADIN) and its application to
distributed model predictive control (MPC). The focus is - for simplicity of
presentation - on convex quadratic programming (QP) formulations of MPC. It is
explained how ALADIN can be used to synthesize sparse QP solvers for
large-scale linear-quadratic optimal control by combining ideas from augmented
Lagrangian methods, sequential quadratic programming, as well as barrier or
interior point methods. The highlight of this tutorial is a real-time ALADIN
variant that can be implemented with a few lines of code yet arriving at a
sparse QP solver that can compete with mature open-source and commercial QP
solvers in terms of both run-time as well as numerical accuracy. It is
discussed why this observation could have far reaching consequences on the
future of algorithm and software development in the field of large-scale
optimization and MPC.

24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org