Reference
T. J. J. van den Boom and B. De
Schutter, "MPC for max-plus-linear systems with guaranteed stability,"
Proceedings of the 16th IFAC World Congress, Prague, Czech
Republic, pp. 1-6, July 2005.
Abstract
Model predictive control (MPC) is a popular controller design technique in the
process industry. Conventional MPC uses linear or nonlinear discrete-time
models. Previously, we have extended MPC 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 consider the stability of MPC for these max-plus linear (MPL)
systems, and we derive an MPL-MPC equivalent of the conventional end-point
constraint. We show that with this end-point constraint the optimized cost
function can be seen as a Lyapunov function for the system and can thus be used
to prove stability.
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BibTeX
@inproceedings{vanDeS:04-032,
author = {van den Boom, Ton J. J. and De Schutter, Bart},
title = {{MPC} for Max-Plus-Linear Systems with Guaranteed Stability},
booktitle = {Proceedings of the 16th IFAC World Congress},
address = {Prague, Czech Republic},
pages = {1--6},
month = jul,
year = {2005}
}