Student Exercises

1:A 3 × 3 system has the following steady-state gain matrix and RGA:

How would you pair the variables for an MVSISO strategy and why?

2:A two input–two output process has the following RGA:

Assume that the MVSISO system is tuned for stable feedback control with both loops closed.

Case 1u1 is paired with y1 (loop 1) and u2 is paired with y2 (loop 2). What happens if loop 2 is opened? Why? Must loop 1 be retuned? How?

Case 2u1 is paired with y2 (loop 1) and u2 is paired with y1 (loop 2). What happens if loop 2 is opened? Why? ...

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