Reference
T. van den Boom and B. De Schutter, "Model predictive control for switching
max-plus-linear systems with random and deterministic switching,"
Proceedings of the 17th IFAC World Congress, Seoul, Korea,
pp. 7660-7665, July 2008.
Abstract
Switching max-plus-linear (SMPL) systems are discrete event systems that can
switch between different modes of operation. In each mode the system is
described by a max-plus-linear state equation and a max-plus-linear output
equation, with different system matrices for each mode. The switching may
depend on input and state, or it may be a stochastic process. We derive a
stabilizing model predictive controller for SMPL systems with both
deterministic and stochastic switching. In general, the optimization in the MPC
algorithm boils down to a nonlinear optimization problem, where the cost
criterion is piecewise polynomial on polyhedral sets and the inequality
constraints are linear.
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BibTeX
@inproceedings{vanDeS:07-038,
author = {van den Boom, Ton and De Schutter, Bart},
title = {Model Predictive Control for Switching Max-Plus-Linear Systems
with Random and Deterministic Switching},
booktitle = {Proceedings of the 17th IFAC World Congress},
address = {Seoul, Korea},
pages = {7660--7665},
month = jul,
year = {2008}
}