Methods of implementing an input-constrained, nonlinear, model-predict
ive controller in latent spaces using partial-least-squares (PLS)-base
d Hammerstein and Wiener models are discussed. For multiple-input, mul
tiple-output (MIMO) systems, the PLS framework presents a viable alter
native for identification and controller synthesis using Hammerstein a
nd Wiener structures. The constraint mappings, which have to be taken
into account during controller design in the PLS framework are highlig
hted PLS-based Wiener models are well suited for constrained control o
f nonlinear systems. The use of PLS-based Hammerstein models for contr
ol involves solution of a nonlinear program as a result of the constra
int mapping. The proposed approach is demonstrated on a simulated pH-l
evel control of an acid - base neutralization process.