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.