Reference
B. De Schutter and
T. J. J. van den
Boom, "MPC for discrete-event systems with soft and hard synchronisation
constraints,"
International Journal of Control, vol.
76, no. 1, pp. 82-94, Jan. 2003.
Abstract
Discrete-event systems with only synchronisation and no concurrency, also
known as timed event graphs or (max,+)-linear systems, have been studied by
several authors. The synchronisation constraints that arise in these
discrete-event systems are hard, i.e., they cannot be broken under any
circumstance. In this paper we consider a more extended class of discrete-event
systems with both hard and soft synchronisation constraints, i.e., if
necessary, some synchronisation conditions may be broken, but then a penalty is
incurred. We show how the model predictive control (MPC) framework, which is a
very popular controller design method in the process industry, can be extended
to this class of discrete-event systems. In general, the MPC control design
problem for discrete-event systems with soft and hard synchronisation
constraints leads to a nonlinear non-convex optimisation problem. We show that
the optimal MPC strategy can also be computed using an extended linear
complementarity problem.
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BibTeX
@article{DeSvan:01-01,
author = {De Schutter, Bart and van den Boom, Ton J. J.},
title = {{MPC} for Discrete-Event Systems with Soft and Hard
Synchronisation Constraints},
journal = {International Journal of Control},
volume = {76},
number = {1},
pages = {82--94},
month = jan,
year = {2003}
}