Q1. True and False
1. Niederlinski index is a necessary and sufficient condition
for 2$\times$2 system but only necessary condition for 4$\times$4.
2. For more than 2$\times$2, if Niederlinski index is negative, the
system will be unstable for any controller settings and
when it is positive, the system may or may not be stable
and further analysis is necessary.
3. For 3$\times$3 system with P=4 and M=2, the dimension of the
dynamic matrix S is 12$\times$9
4. For unconstrained MPC, $K_c$ can be evaluated offline ()
5. In MPC/DMC applications, although M control moves
are calculated, only the first move is implemented ()
6. MPC/DMC consists of 4 main elements: 1) reference
trajectory toward the set-point, 2) process output
prediction, control action sequence computation, error
prediction update ()
7. Not all processes require MPC/DMC for effective
performance, and only processes with constrained,
multivariable control problems involving difficult
dynamics has benefited the most of it ()
8. Using your own words, what is the basic idea of DMC?
9. In DMC, while M-control moves are calculated at every
sampling instance, only the first move is implemented.
Why?
10. What are the main tuning parameters for the DMC and
'qualitatively' discuss their effect on the response?
