Reference
T. J. J. van den Boom and B. De
Schutter, "MPC for max-plus-linear systems with an output cost criterion:
Steady-state behavior and guaranteed stability,"
Proceedings
of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese
Control Conference, Shanghai, China, pp. 2286-2291, Dec. 2009.
Abstract
In previous work we have extended the popular Model Predictive Control (MPC)
design technique to a class of discrete event systems that can be described by
a model that is "linear" in the max-plus algebra. In this paper we study the
steady-state behavior of these so-called max-plus-linear systems in the case of
an output cost criterion. We derive improved tuning rules for the controller
parameters that guarantee us a feasible and stable operation of the controller
in the unconstrained case. An example shows that violation of the tuning rules
may destabilize the closed-loop system.
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BibTeX
@inproceedings{vanDeS:09-037,
author = {van den Boom, Ton J. J. and De Schutter, Bart},
title = {{MPC} for Max-Plus-Linear Systems with an Output Cost
Criterion: {Steady}-State Behavior and Guaranteed Stability},
booktitle = {Proceedings of the Joint 48th IEEE Conference on Decision and
Control and 28th Chinese Control Conference},
address = {Shanghai, China},
pages = {2286--2291},
month = dec,
year = {2009}
}