A controller  of the form  is to be designed for the plant  as shown in the figure. The value of  that yields a phase margin of  at the gain cross-over frequency of  is ___________ (round off to one decimal place).

Consider a unity-gain negative feedback system consisting of the plant (s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 and 1, respectively. For a unit step reference input, the final values of the controller output and the plant output, respectively, are

Consider a lead compensator of the form

The frequency at which this compensator produces maximum phase lead is . At this frequency, the gain amplification provided by the controller, assuming asymptotic Bode-magnitude plot of , is . The values of , respectively, are

Consider a closed-loop system as shown. is the plant transfer function and Gc(s) = 1 is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ……….. rad/s. (Round off to 2 decimal places)

In the given figure, plant

 and compansatorinput is D(s). It is desired that when the disturbance is a unit step, the steady-steady error should not exceed 0.1 unit. The minimum value of K is …………..(Round off to 2 decimal places) 

The transfer function of a phase lead compensator is given by

The frequency (in rad/sec), at which  is maximum, is

The transfer function C(s) of a compensator is given below.

The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is

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

The transfer function of a compensator is given as

 is a lead compensator if

The transfer function of a compensator is given as

The phase of the above lead compensator is maximum at

The transfer functions of two compensators are given below:                 

, 

Which one of the following statements is correct?

The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure:

This transfer function has

The system is to be compensated such that its gain-crossover frequency becomes same as its uncompensated phase-crossover frequency and provides a 45° phase margin. To achieve this, one may use         

A lead compensator used for a closed loop controller has the following transfer function. For such a lead compensator

Maximum phase-lead of the compensator , is

The phase lead compensation is used to

Introduction of integral action in the forward path of a unity feedback system results in a

The pole-zero configuration of a phase-lead compensator is given by