Block diagram of the system:
![2255_Block diagram of the system.png](https://secure.tutorsglobe.com/CMSImages/2255_Block%20diagram%20of%20the%20system.png)
Where τ1 = 3, τ2 = 1
Open Loop Transfer Function = K / {s(τ1s + 1) (τ2s + 1)}
Closed Loop Transfer Function = {K(τ2s + 1)} / {K + s(τ1s + 1) (τ2s + 1)} = {K(τ2s + 1)} / {τ1τ2s2 + (τ1 + τ2)s + K + 1)}
a) Find the stable range of gains
b) Using MATLAB, plot:
- Bode plot (gain margin, phase margin)
- Nyquist plot (gain margin, phase margin)
- Root Locus.