Question

determine the marginal value of k using gain margin and phase margin for the unity feedback system having the following transfer function so that the system will be marginally stable.
G(s) H(s) = k /s(s+5) (s+10)​

Answer 1

Answer:Gain Margin Formula

The formula for Gain Margin (GM) can be expressed as:

 \begin{align*} GM = 0 - G\ dB \end{align*}

Where G is the gain. This is the magnitude (in dB) as read from the vertical axis of the magnitude plot at the phase crossover frequency.

In our example shown in the graph above, the Gain (G) is 20. Hence using our formula for gain margin, the gain margin is equal to 0 – 20 dB = -20 dB (unstable).

Explanation:

Answer 2

Answer:

Hope it's correct thank you ♥