Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Approach to State Signal Shaping by Limit Cycle Model Predictive
  Control   A novel nonlinear model predictive control approach for state signal shaping
is proposed. The control strategy introduces a residual shape cost kernel based
on the dynamics of circular limit cycles from a supercritical Neimark-Sacker
bifurcation normal form. This allows the controller to impose a fundamental
harmonic state signal shape with a specific frequency and amplitude. An
application example for harmonic compensation in distribution grids integrated
with renewable energies is presented. The controller is tasked with the
calculation of the reference current for an active power filter used for load
compensation. The results achieved are successful, reducing the harmonic
distortion to satisfactory levels while ensuring the correct frequency and
amplitude.

12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys