2. A unity feedback system has the following open-loop transfer function -0.5s + 0.5 G(s)i a)...

Question

Question

2. A unity feedback system has the following open-loop transfer function -0.5s + 0.5 G(s)i a) Obtain the Nyquist plot and ana

Answer 1

Answer #1

a) for unity feedback system H(s)=1

G(s)H(s)= $\frac{-0.5s+0.5}{s(s^{2}+ 0.4s +4)}$

Plot nyquist plot in Matlab using commands

>> H = tf([-0.5 0.5],[1 0.4 4 1]);
>> nyquist(H)

Nyquist plot :

Nyquist Diagram 1.5 0.5 -0.5 -2 1.5 0.5 05 Real Axis

b)

For stability margins

type command in matlab

>> margin(H)

and you will get the stability margins plot

Bode Diagram Gm-1.34 dB (at 1.89 rad/s), Pm 6.64 deg (at 1.86 rad/s) 20 System H Frequency (rad/s): 1.86 Magnitude (dB): -0.0

Answer 2

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