Answer the following questions. (a) Is there a feedback control system for system _B2 in that will prevent the inverse response?

(b) For system Bl in equation (21.5), can the multiloop feedback system experience an inverse response with two PID controllers?

(c) Values of the relative disturbance gain (RDG) can be related to the change in the manipulated variables under multiloop control. Deter mine the value of A_MVi for a disturbance and relate this to R_DGi

(d) Is it possible to have a relative gain % l .0 and a large RDG?

(e) Is it possible to have no interaction of any type (e.g., Kx₂ = K_2x =0) and have a large RDG?

(f) Feed forward control can be applied on a multiloop system. Modify the calculation of the relative disturbance gain (RDGi) and the integral error ( E_dt) for various feed forward control designs (feedforward to MVi only, to MV2 only, and to both) using the same disturbance.

(g) The relative disturbance gain provides the ratio of multiloop to single loop performance. Discuss how to use this information when comparing the performance of two designs with different single-loop performances.