Reference
I. Necoara,
E. C. Kerrigan, B. De
Schutter, and
T. J. J. van den
Boom, "Worst-case optimal control of uncertain max-plus-linear systems,"
Proceedings of the 45th IEEE Conference on Decision and
Control, San Diego, California, pp. 6055-6060, Dec. 2006.
Abstract
In this paper the finite-horizon min-max optimal control problem for uncertain
max-plus-linear (MPL) discrete-event systems is considered. We assume that the
uncertain parameters lie in a given convex and compact set and it is required
that the input and state sequence satisfy a given set of linear inequality
constraints. The optimal control policy is computed via dynamic programming
using tools from polyhedral algebra and multi-parametric linear programming.
Although the controlled system is nonlinear, we provide sufficient conditions,
which are usually satisfied in practice, such that the value function is
guaranteed to be convex, continuous and piecewise affine, and the optimal
control policy is continuous and piecewise affine on a polyhedral domain.
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BibTeX
@inproceedings{NecKer:06-029,
author = {Necoara, Ion and Kerrigan, Eric C. and De Schutter, Bart and
van den Boom, Ton J. J.},
title = {Worst-Case Optimal Control of Uncertain Max-Plus-Linear
Systems},
booktitle = {Proceedings of the 45th IEEE Conference on Decision and
Control},
address = {San Diego, California},
pages = {6055--6060},
month = dec,
year = {2006}
}