Reference
B. De Schutter and
T. J. J. van den
Boom, "Model predictive control for max-min-plus-scaling systems - Efficient
implementation,"
Proceedings of the 6th International Workshop
on Discrete Event Systems (WODES'02) (M. Silva, A. Giua, and
J. M. Colom, eds.), Zaragoza, Spain, pp.
343-348, Oct. 2002.
Abstract
In previous work we have introduced model predictive control (MPC) for
max-plus-linear and max-min-plus(-scaling) discrete-event systems. For
max-plus-linear systems there are efficient algorithms to solve the
corresponding MPC optimization problems. However, previously, for
max-min-plus(-scaling) systems the only approach was to consider a limited
subclass of decoupled max-min-plus systems or to use nonlinear nonconvex
optimization algorithms, which are not efficient if the size of the system or
the MPC optimization problem is large. In this paper, we present a more
efficient approach that is based on canonical forms for max-min-plus-scaling
functions and in which the MPC optimization problem is reduced to a set of
linear programming problems.
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BibTeX
@inproceedings{DeSvan:02-002,
author = {De Schutter, Bart and van den Boom, Ton J. J.},
title = {Model Predictive Control for Max-Min-Plus-Scaling Systems --
{E}fficient Implementation},
booktitle = {Proceedings of the 6th International Workshop on Discrete Event
Systems (WODES'02)},
editor = {Silva, Manuel and Giua, Alessandro and Colom, Jos\'{e} M.},
address = {Zaragoza, Spain},
pages = {343--348},
month = oct,
year = {2002}
}