Specifications

LQG Regulation: Rolling Mill Example
10-41
lsim(Px(1,2:3),':',clx(1,2:3),'-',wx,t)
The dotted lines correspond to the open-loop response. In this simulation, the
LQG regulation reduces the peak thickness variation by a factor 4.
LQG Design for the y-Axis
The LQG design for the -axis (regulation of the thickness) follows the exact
samestepsasforthe -axis.
% Specify model components
Hy = tf(7.8e8,[1 71 88^2],'inputn','u-y')
Fiy = tf(2e4,[1 0.05],'inputn','w-iy')
Fey = tf([1e5 0],[1 0.19 9.4^2],'inputn','w-ey')
gy = 0.5e-6 % force-to-gap gain
% Build open-loop model
Py = append([ss(Hy) Fey],Fiy)
Py = [-gy gy;1 1] * Py
set(Py,'outputn',{'y-gap' 'y-force'})
yy
x