Reference
J. Xu, L. Buşoniu, T. van den Boom, and B. De Schutter,
"Receding-horizon control for max-plus linear systems with discrete actions
using optimistic planning,"
Proceedings of the 13th
International Workshop on Discrete Event Systems, Xi'an, China, pp.
398-403, May-June 2016.
Abstract
This paper addresses the infinite-horizon optimal control problem for max-plus
linear systems where the considered objective function is a sum of discounted
stage costs over an infinite horizon. The minimization problem of the cost
function is equivalently transformed into a maximization problem of a reward
function. The resulting optimal control problem is solved based on an
optimistic planning algorithm. The control variables are the increments of
system inputs and the action space is discretized as a finite set. Given a
finite computational budget, a control sequence is returned by the optimistic
planning algorithm. The first control action or a subsequence of the returned
control sequence is applied to the system and then a receding-horizon scheme is
adopted. The proposed optimistic planning approach allows us to limit the
computational budget and also yields a characterization of the level of
near-optimality of the resulting solution. The effectiveness of the approach is
illustrated with a numerical example. The results show that the optimistic
planning approach results in a lower tracking error compared with a
finite-horizon approach when a subsequence of the returned control sequence is
applied.
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BibTeX
@inproceedings{XuBus:16-001,
author = {Xu, Jia and Bu{\c{s}}oniu, Lucian and van den Boom, Ton and De
Schutter, Bart},
title = {Receding-Horizon Control for Max-Plus Linear Systems with
Discrete Actions Using Optimistic Planning},
booktitle = {Proceedings of the 13th International Workshop on Discrete
Event Systems},
address = {Xi'an, China},
pages = {398--403},
month = may # {--} # jun,
year = {2016}
}