Reduce the system shown in Fig. P 3. 1 to a single transfer function, $T(s)=C(s) / R(s)$ using MATLAB. The transfer functions are given as

\[\begin{aligned}& G_{1}(s)=1 /(s+3) \\& G_{2}(s)=1 /\left(s^{2}+3 s+5\right) \\& G_{3}(s)=1 /(s+7) \\& G_{4}(s)=1 / s \\& G_{5}(s)=7 /(s+5) \\& G_{6}(s)=1 /\left(s^{2}+3 s+5\right) \\& G_{7}(s)=5 /(s+6) \\& G_{8}(s)=1 /(s+8)\end{aligned}\]

Fig. P 3. 1

Transcribed Image Text:

R(s) + G1(s) + + G8(s) G3(s) + G6(s) G7(s) + C(s) + G2(s) G4(s) G5(s)