Draw Bode plot for the system with following loop transfer functions: (a) (mathrm{G}_{1}(s) mathrm{H}_{1}(s)=frac{3(s+1)(s+6)}{s^{2}left(s^{2}+18 s+400ight)}) (b) (mathrm{G}_{2}(s)

Question:

Draw Bode plot for the system with following loop transfer functions:

(a) $\mathrm{G}_{1}(s) \mathrm{H}_{1}(s)=\frac{3(s+1)(s+6)}{s^{2}\left(s^{2}+18 s+400ight)}$

(b) $\mathrm{G}_{2}(s) \mathrm{H}_{2}(s)=\frac{20(s+1)}{s(s+5)\left(s^{2}+2 s+100ight)}$

and determine each of the following therefrom (as best read)

(i) gain cross over frequency $\left(\omega_{\mathrm{gc}}ight)$

(ii) phase cross over frequency $\left(\omega_{p c}ight)$

(iii) Gain margin (GM)

(iv) Phase margin (PM)

Comment on stability