A low pass filter with a cut-off frequency of $$30Hz$$ is cascaded with a high pass filter with a cut off frequency of 20Hz. The resultant system of filters coil function as

The frequency response of a linear system $$G\left( {j\omega } \right)$$ is provided in the tubular form below.

The gain margin and phase margin of the system are

The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the same system, for a pulse input $$r(t)$$ having a magnitude of $$10$$ and a duration of one second, as shown in the figure is

A two-loop position control system is shown below.
The gain $$k$$ of the Tacho-generator influences mainly the