One multi-variables constructive model predictive control strategy is developed for continuous-time Hammerstein systems with constraints on the state

input and intermediate variable.Firstly

based on the special structure of Hammerstein systems

one control Lyapunov function is constructed for the linear subpart via the Raccati equation.This leads to a class of adjustable control law(i.e.stable control class)of the linear subpart.Secondly

a finite receding horizon optimal control problem is defined for the constrained Hammerstein system

which is computed on-line to derive the actual predictive control actions.The sufficient condition for asymptotically stability of the closed-loop system is obtained by the Lyapunov’s theorem.Finally

the simulation example of the grade transition control of industrial polypropylene plants is used to illustrate the effectiveness of the results obtained here.