( 4-9. The block diagram of a feedback control system is shown in Fig. 4P- 9....

   

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( 4-9. The block diagram of a feedback control system is shown in Fig. 4P- 9. (a) Apply the SFG gain formula directly to the block diagram to find the transfer functions: Express Y(s) in terms of R(s) and N(s) when both inputs are applied simultaneously. (b) Find the desired relation among the transfer functions G,(s), G₂(s), G;(s), G4(s), H₂(s) and H₂(s) so that the output Y(s) is not affected by the disturbance signal N(s) at all. Rin Y(s) Y(s) R(S) NON(S) RO Figure 4P-9 Gin (₂08) Gls) Gyjs) H₂) Nisi Fly) ( 4-9. The block diagram of a feedback control system is shown in Fig. 4P- 9. (a) Apply the SFG gain formula directly to the block diagram to find the transfer functions: Express Y(s) in terms of R(s) and N(s) when both inputs are applied simultaneously. (b) Find the desired relation among the transfer functions G,(s), G₂(s), G;(s), G4(s), H₂(s) and H₂(s) so that the output Y(s) is not affected by the disturbance signal N(s) at all. Rin Y(s) Y(s) R(S) NON(S) RO Figure 4P-9 Gin (₂08) Gls) Gyjs) H₂) Nisi Fly)