Research Article

Pole Placement-Based NMPC of Hammerstein Systems and Its Application to Grade Transition Control of Polypropylene

Table 1

Grade indices and transition constraints.

GradeMI (g/10 min) 𝐸 𝑑 (%) 𝑇 (K) 𝐢 H 2 (%) 𝐢 m 2 / 𝐢 m (%)

A2.7β€”343.150.050β€”
B39.0β€”343.150.330β€”
C10.02.4343.150.2361.99
A β†’ B [ 2 . 4 , 4 2 . 0 ] 𝑐 β€” [ 3 4 1 . 1 5 , 3 4 5 . 1 5 ] [ 0 . 0 2 , 0 . 3 5 ] β€”
[ 2 . 0 , 4 5 . 0 ] 𝑖 β€”β€” [ βˆ’ 0 . 1 , 0 . 1 0 ] Ξ” β€”
B β†’ C [ 8 . 0 , 4 2 . 0 ] 𝑐 [ 0 . 0 , 2 . 5 ] 𝑐 [ 3 4 1 . 1 5 , 3 4 5 . 1 5 ] [ 0 . 2 0 , 0 . 3 5 ] [ 0 . 0 0 , 2 . 5 0 ]
[ 6 . 0 , 4 5 . 0 ] 𝑖 [ 0 . 0 , 2 . 6 ] 𝑖 β€” [ βˆ’ 0 . 1 , 0 . 1 0 ] Ξ” [ βˆ’ 0 . 1 , 0 . 1 0 ] Ξ”