An open-loop control strategy consists of following the coolant temperature profile above
to smoothly transition between the Cr=8.57 and Cr=2 equilibria. However, this strategy
is doomed by the fact that the reaction is unstable in the mid range and must be properly
cooled to avoid thermal runaway. This is confirmed by inspecting the poles of the
linearized models for the five equilibrium points considered above (three out of the five
models are unstable).
pole(G)
ans(:,:,1) =
-0.5225 + 0.0000i
-0.8952 + 0.0000i
11 Gain-Scheduled Controllers