Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Gradient Method for Model Predictive Control with Input Rate and
  Amplitude Constraints   This paper is concerned with the computing efficiency of model predictive
control (MPC) problems for dynamical systems with both rate and amplitude
constraints on the inputs. Instead of augmenting the decision variables of the
underlying finite-horizon optimal control problem to accommodate the input rate
constraints, we propose to solve this problem using the fast gradient method
(FGM), where the projection step is solved using Dykstra's algorithm. We show
that, relative to the Alternating Direction of Method Multipliers (ADMM), this
approach greatly reduces the computation time while halving the memory usage.
Our algorithm is implemented in C and its performance demonstrated using
several examples.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th