**Reference:**

J. Xu,
L. Busoniu,
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.

Online version of the paper

Corresponding technical report: pdf file (160 KB)

@inproceedings{XuBus:16-001,

author={J. Xu and L. Bu{\c{s}}oniu and T. van den Boom and B. {D}e Schutter},

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},

doi={10.1109/WODES.2016.7497879}

}

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