This paper presents stability results for discrete-time model-based pr
edictive control system subject to an input amplitude constraint. It i
s shown that the input amplitude constrained control system may provid
e a stable control system in the sense of BIBO when the system to be c
ontrolled is of a class of the system poles which consist of multiple
integrators and a stable polynomial. The solution of Diophantine equat
ions and their properties are addressed. Simulation study is also carr
ied out and it is shown that the output of the system may converge to
the reference signal for certain degree of constraints. (C) 1997 Elsev
ier Science B.V.