Reference
B. De Schutter and T. van den Boom, "On model predictive control for
max-min-plus-scaling discrete event systems," Tech. report bds:00-04, Control
Systems Engineering, Fac. of Information Technology and Systems, Delft
University of Technology, Delft, The Netherlands, 19 pp., June 2000.
Abstract
We extend the model predictive control framework, which is very popular in the
process industry due to its ability to handle constraints on inputs and
outputs, to a class of discrete event systems that can be modeled using the
operations maximization, minimization, addition and scalar multiplication, and
that we call max-min-plus-scaling systems. We show that this class encompasses
several other classes of discrete event systems such as max-plus-linear
systems, bilinear max-plus systems, polynomial max-plus systems, separated
max-min-plus systems and regular max-min-plus systems. In general the model
predictive control problem for max-min-plus-scaling systems leads to a
nonlinear non-convex optimization problem, that can also be solved using
extended linear complementarity problems. We show that under certain conditions
the optimization problem reduces to a convex programming problem, which can be
solved very efficiently.
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BibTeX
@techreport{DeSvan:00-04,
author = {De Schutter, Bart and van den Boom, Ton},
title = {On Model Predictive Control for Max-Min-Plus-Scaling Discrete
Event Systems},
number = {bds:00-04},
institution = {Control Systems Engineering, Fac.\ of Information Technology
and Systems, Delft University of Technology},
address = {Delft, The Netherlands},
month = jun,
year = {2000}
}