Discrete-time nonlinear feedback control laws are derived for multivar
iable nonlinear processes, whose ''delay-free'' parts are minimum phas
e. These include mixed error- and state-feedback, error-feedback, and
mixed error- and output-feedback laws, which can induce lineal input-o
utput closed-loop response. This study is carried out within the frame
work of the discrete-time globally linearizing control. The broader cl
ass of nonlinear processes, in which controlled outputs as well as som
e other process variables are measured, are also considered. A mired e
rror- and output-feedback control law is derived for this class of pro
cesses. The conditions under which the mixed error- and output-feedbac
k can be applied to a process operating at or around an open-loop unst
able equilibrium point are determined. The application and performance
of the derived control laws are illustrated by the numerical simulati
on of a chemical reactor.