![Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) E(s) Y(s) G(s) H(s) Figure](https://i.imgur.com/lxGn37W.png)
Answers
Soln Cruien that 40 Gls) (S+2)(3+3) & HIS) S+4 -0-187 a ) Crawn morgun (in dB) from the Nyquist Plot 1x1= 0.187 we knew that, Grain margin (dB) = 20 lug (ix) :: AM = 20 20 lung E14.563 dB 0.187
(N) System Stability from Nyquist plat Number of emerelement = 0 We know that N=P-Z Where, N = Number o) Omerekoment P = Number of olen loot Poles in RHS c) S-Plane Z = Number close look holes in Rus oz s-plane PE = 0 l: no open look holes in RHS Therefore g of S- Plane N=P-Z O zo-Z Zzo Hence, System is stable because no close look holes S- Plane im RHS of
b) for marginally stable X=1 Therefore GM = - Х. = . Comlin db ) = 20 logi = 0dB
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