Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust Optimal Control with Adjustable Uncertainty Sets   In this paper, we develop a unified framework for studying constrained robust
optimal control problems with adjustable uncertainty sets. In contrast to
standard constrained robust optimal control problems with known uncertainty
sets, we treat the uncertainty sets in our problems as additional decision
variables. In particular, given a finite prediction horizon and a metric for
adjusting the uncertainty sets, we address the question of determining the
optimal size and shape of the uncertainty sets, while simultaneously ensuring
the existence of a control policy that will keep the system within its
constraints for all possible disturbance realizations inside the adjusted
uncertainty set. Since our problem subsumes the classical constrained robust
optimal control design problem, it is computationally intractable in general.
We demonstrate that by restricting the families of admissible uncertainty sets
and control policies, the problem can be formulated as a tractable convex
optimization problem. We show that our framework captures several families of
(convex) uncertainty sets of practical interest, and illustrate our approach on
a demand response problem of providing control reserves for a power system.

32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess