With the value of "a" set for phase margin of π/4, the value of unit impulse response of the open loop system at t = 1 second is equal to
The transfer function of a second order system is given as The peak (A) value of the output for unit step input is
If the resonant peak of the system is B, then the value of B/A is
A portion of the polar plot of an openloop transfer function is shown in the given figure
The phase margin and gain margin will be respectively
Phase margin = 90° − 30° = 60° Gain margin = 1/0.75
The openloop transfer function of a unity negative feedback system is
The polar plot of the system will be
The polar plot intersects with the negative real axis as in making imaginary term of G(j_{ω}) to be zero, the solution exists.
The compensator
would provide a maximum phase shift of
Maximum phase shift
A step input is applied to a system with the transfer function
The output response will be
Which one of the following characteristic equations of result in the stable operation of the feedback system?
For stable operation, all coefficients of the characteristic equation should be real and have the same sign and none of the coefficients should be zero.
Consider the following statements:
RouthHurwitz criterion gives
1. absolute stability
2. the number of roots lying on the right half of the splane
3. the gain margin and phase margin
Which of these statements are correct?
Which of these statements are correct?
Routh  Hurwitz criterion gives absolute stability and the number of roots lying on the right half of the splane but it does not tell about the gain margin and phase margin.
The polar plot (for positive frequencies) for the openloop transfer function of a unity feedback control system is shown in the given figure
The phase margin and the gain margin ofthe system are respectively
For the given network, the maximum phase lead φm of V_{0} with respect to V_{i} is
For the system dynamics described by differential equationy+3y+2y=u(t) the transfer function of the system represented in controllable canonical form is
The matrix A would be
General representation of phase variable representation:
For the signal flow diagram shown in the given figure, the transmittance between x_{2} and x_{1} is
Consider the mechanical system shown in the given figure. If the system is set into motion by unit impulse force, the equation of the resulting oscillation will be
Nyquist plot shown in the given figure is for a type
(i) When a pole is added at negative real axis, the tail of the plot remains at the same position whereas head of plot shifts by 90° in clockwise direction.
(ii) When a pole is added at origin, both the tail and head of the plot shift by 90° in clockwise direction.
An open loop transfer function of a unity feedback control system has two finite zeros, two poles at origin and two pairs of complex conjugate poles. The slope of high frequency asymptote in Bode magnitude plot will be
No. of poles, n = 6
No. of zeros, m = 2
Slope of high frequency asymptote
= −20 (n−m)
= −20 (6−2)
= −80 dB/decade
Match ListI (Polezero plot of linear control system) with
ListII (Responses of the system) and select the correct answer:
Codes:
Codes:
A B C D
The unit impulse response of a system having transfer function K/(s + α) is shown below. The value of α is
The transfer function of a phase lead network as shown in the figure below is
The values of R1 and R2 are respectively
The forward path transfer function of a unity feedback system is given by
The frequency response of this system will exhibit the resonance peak at
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