The Nyquist plot of a strictly stable  having the numerator polynomial as  encircles the critical point -1 once in the anti-clockwise direction. Which one of the following statements on the closed-loop system shown in figure, is correct?

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of has a constant slope of  decade at least till with the gain crossover frequency being . The asymptotic Bode phase plot remains constant at  at least till . The steady-state error of the closed-loop system for a unit ramp input is ________ (rounded off to 2 decimal places).

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of  are given in the table. The value of the gain  for a  phase margin is ________ (rounded off to 2 decimal places).

In the Nyquist plot of the open-loop transfer function

Corresponding to the feedback loop shown in the figure, the infinite semi-circular arc of the Nyquist contour in s-plane is mapped into a point at

The magnitude and phase plots of an LTI system are shown in the figure. The transfer function of the system is

The transfer function of a real system, H(s), is given as:

where A, B, C and D are positive constants. This system cannot operate as

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is −180°. This system has        

An LTI system is shown in the figure where G(s) . The steady state output of the system, to the input r(t), is given as  The values of a and b will be         

The open loop transfer function of a unity gain negative feedback system is given as

The Nyquist contour in the s-plane encloses the entire right half plane and a small neighbourhood around the origin in the left half plane, as shown in the figure below. The number of encirclemenets of the point (-1+j0) by the Nyquist plot of G(s), corresponding to the Nyquist contour, is denoted as N. Then N equals to

The Bode magnitude plot for the transfer function  of the circuit is as shown. The value of R is _______ Ω. (Round off to 2 decimal places.)

A signal generator having a source resistance of . is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is ________ . (Round off to 2 decimal places.)

Consider a negative unity feedback system with forward path transfer function  where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane in the clockwise direction, the Nyquist plot of (l + G(s)), encircles the origin of (l + G(s))-plane once in the clockwise direction and never passes through this origin for a certain value of K. Then, the number of poles of lying in the open right half of the s-plane is _______.

A stable real linear time-invariant system with single pole at p, has a transfer function  with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:

The open loop transfer function of a unity feedback system is given by

In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point

The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below.

Consider the following two statements.

Statement I: Transfer function G(s) has three poles and one zero.

Statement II: At very high frequency , the phase angle         

Which one of the following options is correct?

The transfer function of a system is given by, . Let the output of the system be  for the input, . Then the minimum and maximum values of  (in radians) are respectively

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30° is _________. (Give the answer up to two decimal places).

The transfer function of a system is . The steady state output y(t) is A  for the input . The value of A and , respectively are

The phase cross-over frequency of the transfer function  in rad/s is

Consider the following asymptotic Bode magnitude plot ( is in rad/s).

Which one of the following transfer functions is best represented by the above Bode magnitude plot?

Loop transfer function of a feedback system is . Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of G(s)H(s) encircles

Consider a linear time-invariant system with transfer function                

If the input is cos(t) and the steady output is  , then the value of A is___________.

A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?

The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at

(2 – j3). List all the poles and zeroes.

Nyquist plots of two functions  and  are shown in figure. 

Nyquist plot of the product of  is

The Bode magnitude plot of the transfer function  is shown below :

Note that -6dB/octave = -20dB/decade. The value of  is _______________.

In the figure shown, assume the op – amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function ?

For the transfer function         

The values of the constant gain term and the highest corner frequency of the Bode plot respectively are

A single-input single-output feedback system has forward transfer function G(s) and feedback transfer function(s). It is given that. Which of the following is true about the stability of the system?

The magnitude Bode plot of a network s shown in the figure

The maximum phase angle  and the corresponding gain  respectively, are

The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20log|G(s)|) is 32 dB and -8 dB at 1rad/s and 10rad/s respectively. The phase is negative for all ω. Then G(s) is

A system with transfer function

is excited by .  The steady state output of the system is zero at

The frequency response of a linear system  is provided in the tabular form below

The gain margin and phase margin of the system are

The frequency response of  plotted in the complex  plane  is

The polar plot of an open loop stable system is shown below. The closed loop system is

The asymptotic approximation of the log-magnitude v/s frequency plot of a system containing only real poles and zeros is shown. Its transfer function is

The open loop transfer function of a unity feedback system is given by .  The gain margin of this system is

If  and  then for , the Nyquist plot for becomes asymptotic to the line

The Bode magnitude plot of is

Consider the following Nyquist plots of loop transfer functions over ω = 0 to ω= ∞.  Which of these plots represents a stable closed loop system?

A system with zero initial conditions has the closed loop transfer function. The system output is zero at the frequency

The gain margin of a unity feedback control system with the open loop transfer function  is:  

In the GH(s) plane, the Nyquist plot of the loop transfer function passes through the negative real axis at the point  

If the compensated system shown in Figure has a phase margin of 60° at the crossover frequency of 1rad/sec, the value of the gain K is:

The Nyquist plot of loop transfer function G(s) H(s) of a closed loop control system passes through the point (−1, j0) in the G(s) H(s) plane. The phase margin of the system is

In the system shown in figure, the input x(t)=sin t. In the steady-state, the response y(t) will be

The open loop transfer function of a unity feedback control system is given as

The value of ‘a’ to give a phase margin of 45° is equal to

The asymptotic Bode plot of the transfer function is given in figure. The error in phase angle and dB gain at a frequency of ω=0.5 a are respectively.          

The polar plot of a type-1, 3-pole, open-loop system is shown in Figure, the closed loop system is         

The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and one zero is shown in figure. Its transfer function is

A unit feedback system has an open-loop transfer function of                 

(a) Determine the magnitude of G(jω) in dB at an angular frequency of ω= 20 rad/sec.

(b) Determine the phase margin in degrees.

(c) Determine the gain margin in dB.

(d) Is the system stable or unstable?

Open-loop transfer function of a unity-feedback system is:

Given : when

(a) Determine the phase margin when  

(b) Comment in one sentence on the effect of dead time on the stability of the system

(c) Determine the maximum value of dead time  for the closed-loop system to be stable

The function corresponding to the Bode plot of the figure is                 

The asymptotic magnitude Body plot of a system is given fig. Find the transfer function of the system analytically. It is known that the system is minimal phase system         

A unity feedback system with the open loop transfer function  has gain margin of…. dB

Determine the transfer function of the system having the following state variable representation:         

The closed-loop transfer function of a control system is given by . For the input , the steady state value of c(t) is equal to

The block diagram of the control system is given in the figure.  

Match the polar plots for the following functions on the left hand side *(MTA since incomplete question)                 

A unity feedback system has the open loop transfer function                 

The Nyquist plot of G encircles the origin

Which of the following is the transfer function of a system having the Nyquist plot in figure?

The system having the Bode magnitude plot shown in figure has the transfer function

An underdamped second-order system having a transfer function of the form has a frequency response plot shown in the figure. Then the system gain K is _______________ and the damping factor is approximately ___________________.