Page 192 - Distributed model predictive control for plant-wide systems
P. 192
166 Distributed Model Predictive Control for Plant-Wide Systems
I
⎡ n ui ⎤
⎢I I ⎥
T = n ui n ui
i ⎢ ⋮ ⋱ ⋱ ⎥
⎢ ⎥
⎣I ··· I I ⎦
n ui n ui n ui Mn ui ×Mn ui
⎡u max − u (k − 1)⎤ ⎡u min − u (k − 1)⎤
i
i
i i
U = ⎢ ⋮ ⎥ , U = ⎢ ⋮ ⎥
i i
⎢ max ⎥ ⎢ min ⎥
⎣ u − u (k − 1) ⎦ ⎣ u − u (k − 1) ⎦
i
i Mn ui ×1 i i Mn ui ×1
⎡Δu max ⎤ ⎡Δu min ⎤
i i
ΔU = ⎢ ⋮ ⎥ , ΔU = ⎢ ⋮ ⎥
i i
⎢ max ⎥ ⎢ min ⎥
⎣ Δu i ⎦ Mn ui ×1 ⎣Δu i ⎦ Mn ui ×1
⎡y max ⎡y min
i ⎤ i ⎤
Y = ⎢ ⋮ ⎥ , Y = ⎢ ⋮ ⎥
i
i
⎢ max ⎥ ⎢ min ⎥
⎣ y i ⎦ Pn yi ×1 ⎣y i ⎦ Pn yi ×1
