Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A distributionally robust optimization approach to two-sided chance
  constrained stochastic model predictive control with unknown noise
  distribution   In this work, we propose a distributionally robust stochastic model
predictive control (DR-SMPC) algorithm to address the problem of two-sided
chance constrained discrete-time linear system corrupted by additive noise. The
prevalent mechanism to cope with two-sided chance constraints is the so-called
risk allocation approach, which conservatively approximates the two-sided
chance constraints with two single chance constraints by applying the Boole's
inequality. In this proposed DR-SMPC framework, an exact tractable second-order
cone (SOC) approach is adopted to abstract the two-sided chance constraints by
considering the first and second moments of the noise. The proposed DR-SMPC
algorithm is able to guarantee that the worst-case probability of violating
both the upper and lower limits of safety constraints is within the
pre-specified maximum probability (PsMP). By flexibly adjusting this PsMP, the
feasible region of the initial states can be increased for the SMPC problem.
The recursive feasibility and convergence of the proposed DR-SMPC are
established rigorously by introducing binary initialization strategy of nominal
state. Simulation studies of two practical cases are conducted to demonstrate
the effectiveness of the proposed DR-SMPC algorithm.

3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin