Angle deficiency lead compensator

1. What is angle of deficiency?
2. How much angle must a phase lead compensator must contribute?
3. What are the effects of lead compensator?
4. Is lead compensator low pass filter?

What is angle of deficiency?

In geometry, the (angular) defect (or deficit or deficiency) means the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the Euclidean plane would. The opposite notion is the excess.

How much angle must a phase lead compensator must contribute?

= = It is noted that we may place the zero of the compensator at s -2 and pole at s - 4 so that the angle contribution of the lead compensator is 30°.

What are the effects of lead compensator?

The lead compensator increases the gain of the system at high frequencies (the amount of this gain is equal to a). This can increase the crossover frequency, which will help to decrease the rise time and settling time of the system (but may amplify high frequency noise).

Is lead compensator low pass filter?

The lag–lead compensator behaves as a lag design at small frequencies (and therefore, as a low-pass filter) and as a lead configuration for high frequencies (which is a high-pass filter) resulting in an overall notch-filter response.