QUIZ 3 Flashcards

(28 cards)

1
Q

It is the frequency response plot wherein it is a parametric plot as ω varies from 0 to ∞, in which the x-axis is the real part 𝑅𝐸(𝜔) and the y-axis is the imaginary part of 𝐼𝑀(𝜔) of the imaginary function of 𝐺(𝑖𝜔). Or it is the polar plot 𝐴𝑅(𝜔) as the magnitude and ∅(𝜔) as the a angle as ω varies from 0 to ∞.

a. Nyquist plot
b. Nichol’s plot
c. Bode Diagram
d. Root locus plot

A

a. Nyquist plot

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2
Q

It is the frequency response plot wherein it is a parametric plot as ω varies from 0 to ∞, with y-axis which the amplitude expressed in decibel (𝑑𝐵=20log⁡(𝐴𝑅(𝜔)⁡ and the x-axis the phase angle the ∅(𝜔) as the a angle as ω varies from 0 to ∞.

a. Nyquist plot
b. Nichol’s plot
c. Bode Diagram
d. Root locus plot

A

b. Nichol’s plot

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3
Q

Is the plot on the Imaginary Plane of all the roots of the characteristic equation as the value of
𝐾𝑐 varies from zero to infinity.

a. Nyquist plot
b. Nichol’s plot
c. Bode Diagram
d. Root locus plot

A

d. Root locus plot

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4
Q

It the stability criterion that states that “ the system is stable if the amplitude ratio at cross over frequency is less than 1”

a. Routh Hurwitz’s Stability Criterion
b. Cohen-Coon Stability Criterion
c. Bode Stability Criterion
d. Frequency Response Stability
Criterion

A

c. Bode Stability Criterion

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5
Q

Using the Root Locus, a system is stable for all the values of Kc if

a. the root loci cross the imaginary axis from right to left.
b. the root loci cross the imaginary axis from left to right.
c. the root loci not cross the imaginary axis and are all located on the right side of the imaginary axis.
d. the root loci not cross the imaginary axis and are all located on the left side of the imaginary axis.

A

d. the root loci not cross the imaginary axis and are all located on the left side of the imaginary axis.

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6
Q

In the Root Locus, the value of Kc that is responsible for a particular point on the root locus is determined by

a. magnitude criterion.
b. stability criterion
c. angle criterion.
d. Bode criterion

A

a. magnitude criterion

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7
Q

In Nyquist plot, the system is stable if the point (-1, 0)

a. lies on the left side of the of the plot as the plot crosses real axis.
b. lies on the right side of the of the plot as the plot crosses real axis.
c. lies on the right side of the of the plot as the plot crosses the imaginary axis.
d. lies on the left side of the of the plot as the plot crosses the imaginary axis.

A

a. lies on the left side of the of the plot as the plot crosses real axis.

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8
Q

The crossover frequency is the frequency when the phase lag is equal to

a. 180 deg
b. -360 deg
c. -180 deg
d. 360 deg

A

c. -180 deg

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9
Q

In Bode Diagram, the system is stable if the point on the AR plot at cross over frequency is

a. below the 0 decibel line
b. above 0 decibel line
c. above 1 decibel line 2
d. below 1 decible line

A

a. below the 0 decibel line

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10
Q

For a system with overall open transfer function which is 3rd order or higher and with significant dead, the most appropriate controller mode is,

a. proportional mode
b. integral mode
c. proportional- integral mode
d. proportional integral derivative mode
e. derivative mode

A

d. proportional integral derivative mode

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11
Q

It is a frequency response plot where in the y-axis is the in dB=20logKp and the x-axis is the
phase lag.

a. Nyquist plot
b. Nichol’s plot
c. Bode Diagram
d. Root locus plot

A

b. Nichol’s plot

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12
Q

It is a frequency response plot where in the process gain Kp and the phase lag ∅ are plotted in a
polar coordinate system as the frequency 𝜔⁡ changes from zero to infinity.

a. Nyquist plot
b. Nichol’s plot
c. Bode Diagram
d. Root locus plot

A

b. Nichol’s plot

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13
Q

In the root locus, the value of Kc which is responsible for that particular point in the locus can be
determined using

a. Angle Criterion
b. Magnitude Criterion
c. Angle of departure
d. Routh Hurwiths Criterion

A

b. Magnitude Criterion

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14
Q

The most important point in the root locus is the point where;

a. The locus breaks the real axis
b. the locus crosses the real axis
c. the locus crosses the imaginary axis
d. the origin

A

c. the locus crosses the imaginary axis

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15
Q

In the concept of stability, all the statements below are true except:

a. The roots determine the nature of the transient response.
b. The roots of the denominator depend on the particular value of the time constant and Kc.
c. The system is stable if all the roots of its characteristic equation lie in the right half of the
complex plane.
d. Root-locus method allows rapid determination of the location of the roots.
e. Frequency-response methods are an indirect solution to the location of the roots.

A

c. The system is stable if all the roots of its characteristic equation lie in the right half of the
complex plane.

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16
Q

In general, a locus may be repelled by _______ and attracted toward a ________.

a. positive pole, negative pole
b. negative pole, positive pole
c. asymptote, breakaway point
d. pole, zero
e. zero, pole

A

e. zero, pole

17
Q

It the stability criterion that states that “ the system is stable if the amplitude ratio at
cross over frequency is less than 1”

a. Rouths Hurwith’s Stability Criterion
b. Cohen-Coon Stability Criterion
c. Bode Stability Criterion
d. Frequency Response Stability Criterion

A

c. Bode Stability Criterion

18
Q

Using the Root Locus, a system is stable for all the values of Kc if

a. the root loci cross the imaginary axis from right to left.
b. the root loci cross the imaginary axis from left to right.
c. the root loci not cross the imaginary axis and are all located on the right side of the
imaginary axis.
d. the root loci not cross the imaginary axis and are all located on the left side of the
imaginary axis.

A

d. the root loci not cross the imaginary axis and are all located on the left side of the
imaginary axis.

19
Q

In the Root Locus, the value of Kc that is responsible for a particular point on the root locus is
determined by

a. magnitude criterion.
b. angle criterion.
c. stability criterion
d. Bode criterion

A

a. magnitude criterion

20
Q

To determine the closed loop response stability of the system using frequency response
analysis, the transfer function used is

a. overall closed loop transfer function.
b. overall open loop transfer function.
c. overall plant transfer function.
d. overall controller transfer function.

A

b. overall open loop transfer function

21
Q

The amplitude ratio (AR) of the deadtime transfer function G(s)=e^(-Tds) is

a. Unity
b. Zero
c. Imaginary number pair 1+- i
d. infinity
e. pi

22
Q

The phase lag of the deadtime transfer function G(s)=e^(-Tds) is

23
Q

The characteristic equation obtained from the transfer function of a certain process is
given by s4 + 4s3 + 6s2 + 4s + 1=0. The system is

a. stable
b. unstable
c. can not be determined
d. uncertain

24
Q

The form of the phase lag of the second order system given by the equation , if the argument of the arctangent is positive, the value given by the calculator should be

a. Added by 180
b. Added by -180
c. taken as it is
d. multiplied by -1
e. be taken as zero

A

a. Added by 180

25
The _____________________ is a parametric polar plot as 𝜔 varies from 0 to infinity. The points on the plot are determined by magnitude (distance from the origin to the point) and the phase lag (angle from positive x-axis to the point). a. Bode diagram b. Nyquist plot c. Nichols Plot d. Root locus.
b. Nyquist plot
26
The ______________________________ consisted of two plots, the upper plot is a log-log plot of AR and 𝜔 and the lower plot is a semi-log plot of phase lag versus . a. Bode diagram b. Nyquist plot c. Nichols Plot d. Root locus.
a. Bode diagram
27
Routh’s Stability Criterion states that the system is stable if all the elements of the first column of Routh’s array is a. Approaching zero from the left b. 1 c. greater than zero d. less than zero
c. greater than zero
28
In the root locus plotting, the segment on the real axis is part of the locus if the number of zeros and poles to the right of that segment is a. 1 b. 0 c. odd d. even
c. odd