Use block-diagram reduction techniques listed in the following to find the overall transfer function for the diagram in Figure 4.28.

a. Move the summing junction of the negative-feedback loop containing \(\mathrm{H}_{2}(s)\) outside of the positive-feedback loop containing \(H_{1}(s)\).

b. In the ensuing diagram, replace the loop containing \(H_{1}(s)\) with a single block.

c. Similarly, replace the two remaining loops with single equivalent blocks to obtain one single block whose input is \(U(s)\) and output is \(Y(s)\).

Transcribed Image Text:

H(s) U(s) K G(s) G(s) Y(s) FIGURE 4.28 H3(s) H(s)