Question

Course: Control Systems.

Please show all your work.

Given the block diagram shown below, explain succinctly why the goal of reduced sensitivity to output disturbance D conflicts with the goal of attenuation of sensor noise N. How is the conflict usually resolved? D(s) R(5) - G(s) C(s) N()

Answer 1

Gls) UN S No. The output ((s) due to disturbance is given by colas he one who { NG)= R$ =0}-0 The output due to noise Nis) is gives by colas ce sont con {=RG>0}-0 - R(S)=0 ce. = GOS) HGB) Ng

In from , disturbances, order to reduce the output due to G (6) should be increased. o ; as G(S) to, sensitivity due to DB) 0} From © In order to reduce the output due to noise, (NBS)), GG) should be decreased, {then as G(s) 0, GO also tends to zero} HGB) NI from both the above 2 requirements statements, it is seen that conflict with each other.