Reference:
T.J.J. van den Boom,
B. De Schutter,
G. Schullerus, and
V. Krebs,
"Adaptive model predictive control using max-plus-linear input-output
models," Proceedings of the 2003 American Control Conference,
Denver, Colorado, pp. 933-938, June 2003.
Abstract:
Model predictive control (MPC) is a popular controller design
technique in the process industry. Conventional MPC uses linear or
nonlinear discrete-time models. Recently, 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 our previous work we have
considered MPC for the time-invariant case. In this paper we consider
an adaptive scheme for the time-varying case, based on parameter
estimation of input-output models. In a simulation example we show
that the combined parameter-estimation/MPC algorithm gives a good
closed-loop behaviour.