A method based on conceptual tools of predictive control is described
for tackling tracking problems of uncertain linear systems wherein poi
ntwise-in-time input and/or state inequality constraints are present.
The method consists of adding to a primal compensated system a nonline
ar device called predictive reference filter which manipulates the des
ired reference in order to fulfill the prescribed constraints. Provide
d that an admissibility condition on the initial state is satisfied, t
he control scheme is proved to fulfill the constraints, as well as sta
bility and set-point tracking requirements, for all systems whose impu
lse/step responses lie within given uncertainty ranges. (C) 1998 Elsev
ier Science Ltd. All rights reserved.