The system is given by a block diagram: G3(s) R(s) Y(s) G1(s) G2(s) E(s) H2(s) H1(s) a) Simplify the system i.e. find the equivalent transfer function Y(s)/R(s) using any method you prefer b) Find the...

Extracted text: The system is given by a block diagram: G3(s) R(s) Y(s) G1(s) G2(s) E(s) H2(s) H1(s) a) Simplify the system i.e. find the equivalent transfer function Y(s)/R(s) using any method you prefer b) Find the equivalent transfer function E(s)/R(s) c) Find the transfer function Y(s)/E(s) (For parts a),b),c) – write transfer functions in terms of G1,G2,G3) d) Assuming H1 (s) = H2(s) = 1 and 1 G1 (s) : s+1 G2(s) G3 (s) = K s+2 Determine the value of K such that the equivalent system Y(s)/R(s) has unity gain.