Exercise 3.8 Design a SVD controller K WKsW
for the distillation process in  ie select W V and W
UT where U and V are given in  

Select Ks in the form Ks c

s



s c

s



s 

and try the following values

a c c
 

b c   c
 

c c     c
   

Simulate the closed loop reference response with and without uncertainty Designs a

and b should be robust Which has the best performance Design c should give the response in Figure   In the simulations include high order plant dynamics by replacing Gs by 


s

 Gs What is the condition number of the controller in the three cases Discuss the results See also the conclusion on page