Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Model Predictive Control Approach for Low-Complexity Electric Vehicle
  Charging Scheduling: Optimality and Scalability   With the increasing adoption of plug-in electric vehicles (PEVs), it is
critical to develop efficient charging coordination mechanisms that minimize
the cost and impact of PEV integration to the power grid. In this paper, we
consider the optimal PEV charging scheduling, where the non-causal information
about future PEV arrivals is not known in advance, but its statistical
information can be estimated. This leads to an "online" charging scheduling
problem that is naturally formulated as a finite-horizon dynamic programming
with continuous state space and action space. To avoid the prohibitively high
complexity of solving such a dynamic programming problem, we provide a Model
Predictive Control (MPC) based algorithm with computational complexity
$O(T^3)$, where $T$ is the total number of time stages. We rigorously analyze
the performance gap between the near-optimal solution of the MPC-based approach
and the optimal solution for any distributions of exogenous random variables.
Furthermore, our rigorous analysis shows that when the random process
describing the arrival of charging demands is first-order periodic, the
complexity of proposed algorithm can be reduced to $O(1)$, which is independent
of $T$. Extensive simulations show that the proposed online algorithm performs
very closely to the optimal online algorithm. The performance gap is smaller
than $0.4\%$ in most cases.

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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org