Reference:
T.J.J. van den Boom,
B. De Schutter, and
I. Necoara,
"On MPC for max-plus-linear systems: Analytic solution and stability,"
Proceedings of the 44th IEEE Conference on Decision and Control,
and the European Control Conference 2005 (CDC-ECC'05), Seville,
Spain, pp. 7816-7821, Dec. 2005.
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 analytic solution of the MPC
controller for these max-plus-linear (MPL) systems and we compare this
solution with other well-known control schemes. Furthermore, we derive
tuning rules for the controller parameters that guarantee us a stable
feasible and stable operation of the controller.