This paper considers the robust implementation of a class of predictiv
e control methods represented by GPC. Such controllers are in two-degr
ees-of-freedom form where there are dynamics in both the forward and t
he feedback paths. The 'tuning knobs' of predictive controllers determ
ine the characteristic polynomial P-c, and for a given P-c the observe
r or prefiltering polynomial T in the feedback path determines the rob
ustness of the closed loop. Previous intuitive guidelines on the selec
tion of T are shown to be limited in their effectiveness. For an open-
loop stable plant, a simple criterion is provided which allows the fee
dback dynamics to be specified so as to enhance robustness. The T poly
nomial is then chosen to satisfy this criterion. In addition, robust d
esign through T is related to an H-infinity-optimal control scheme usi
ng the so-called Q-parametrization. Despite its simplicity, the new pr
oposed approach to the design of T is seen to result in robustness com
parable with that obtained from the H-infinity method.