Lag Compensator

Q. The system $900/s(s+1)(s+9)$ is to be such that its gain-crossover frequency becomes same as its uncompensated phase crossover frequency and provides a ${45}^o$ phase margin. To achieve this, one may use

1. a lag compensator that provies an atenuation of $20dB$ and a phase lag of ${45}^o$ at the frequency of $3\sqrt{3}rad/s$.
2. a lead compensator that provides an amplification of $20dB$ and a phase lead of ${45}^o$ at the frequency of $3rad/s$.
3. a lag-lead compensator that provides an amplification of $20dB$ and a phase lag of ${45}^o$ at the frequency at $\sqrt{3}rad/s$
4. a lag-lead compensator that provides an attenuation of $20dB$ and phase lead of ${45}^o$ at the frequency of $3rad/s$

Q. The transfer functons of two compensators are given below:
$C_1=\frac{10(s+1)}{(s+!0)},C_2=\frac{s+10}{10(s+1)}$
Which one of the following statements is correct?

1. $C_1$ is lead compensator and $C_2$ is a lag compensator.
2. $C_1$ is lag compensator and $C_2$ is a lead compensator.
3. Both $C_1$ and $C_2$ are lead conpensator
4. Both $C_1$ and $C_2$ are lag conpensator

Q. A compensator transfer function is given by C(s) = $\frac{s+2}{s+1}$. What is the nature of compensator?

1. Lag compensator
2. Lead compensator
3. Lag-lead compensator
4. None of these

Q.

What is the difference between back-propagation and gradient descent?

Q.
For the network shown in the figure below the frequency (in rad/s) at which the maximum phase lag occurs is ____.

1. 0.316