Find the error in phase angle and dB gain Function Transfer

1. How do you find the phase angle of a transfer function?
2. How do you find the gain and phase of a transfer function?
3. What will be the value of phase crossover frequency and gain margin?
4. How do you find the phase angle of a Bode plot?

How do you find the phase angle of a transfer function?

The phase part is just tan^-1(imaginary part)/(real part). As gneill pointed out, your transfer function phase angle will be the negative of the numerator phase angle, i.e. ψ = - tan^-1(imaginary part)/(real part) of the denominator.

How do you find the gain and phase of a transfer function?

Transfer function gain=Yssr(t), where Yss represents output y(t) at steady-state and r(t) is the input. The transfer function gain is the magnitude of the transfer function, putting s=0. Otherwise, it is also called the DC gain of the system, as s=0 when the input is constant DC.

What will be the value of phase crossover frequency and gain margin?

The phase crossover occurs at 0.010 Hz and so the gain margin is 1.00/0.45=2.22. The phase margin is the number of degrees by which the phase angle is smaller than −180° at the gain crossover. The gain crossover is the frequency at which the open-loop gain first reaches the value 1 and so is 0.005 Hz.

How do you find the phase angle of a Bode plot?

is obtained by adding the Bode magnitude plots for 100, (1 + 0.1jω) and 1/(1 + jω). The dB magnitude against log ω plot is the Bode magnitude plot, and the phase angle against log ω plot is the Bode phase angle plot.