STUPIDSID
1 (a)
Obtain the transfer function from the magnitude plot shown below:
5 M
1 (b)
What do you mean by steady state error? What information is contained in the specification Kv=1000?
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1 (c)
A unity feedback control system has an open loop transfer function
G(s)H(s)=K/[s(s2+4s+13)]. Determine:
(i) Centroid, Number and angle of Asymptotes.
(ii) Breakaway points, if any.
G(s)H(s)=K/[s(s2+4s+13)]. Determine:
(i) Centroid, Number and angle of Asymptotes.
(ii) Breakaway points, if any.
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1 (d)
Compare Absolute Stability and Relative Stability.
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2 (a)
Find the transfer function from the block diagram using block diagram reduction rules.
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2 (b)
Derive the transfer function of field controlled dc servomotor.
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3 (a)
Construct the signal flow graph from the following set of equations and find the overall transmittance using Mason's Gain Formula.
x2 = g21x1 + g23x3
x3 = g31x1 + g32x2 + g33x3
x4 = g42x2 + g43x3
x2 = g21x1 + g23x3
x3 = g31x1 + g32x2 + g33x3
x4 = g42x2 + g43x3
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3 (b)
Sketch the root locus for a unity feedback control system with
G(s) = K/[s(s+1)(s+3)] and determine -
(i) K for marginal stability.
(ii) Frequency of oscillation for marginal stability.
(iii) K for damping ratio of 0.5.
G(s) = K/[s(s+1)(s+3)] and determine -
(i) K for marginal stability.
(ii) Frequency of oscillation for marginal stability.
(iii) K for damping ratio of 0.5.
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4 (a)
For a unity feedback system with open loop transfer function given below determine the range of K for stability
G(s) = K/[(s+2)(s+4)(s2+6s+25)]
G(s) = K/[(s+2)(s+4)(s2+6s+25)]
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4 (b)
Sketch the bode plot for
G(s)H(s) = 10/[s(1+0.1s)(1+0.5s)] and find
(i) Gain crossover frequency
(ii) Phasecrossover frequency
(iii) Gain margin
(iv) Phase margin.
Also comment on system stability.
G(s)H(s) = 10/[s(1+0.1s)(1+0.5s)] and find
(i) Gain crossover frequency
(ii) Phasecrossover frequency
(iii) Gain margin
(iv) Phase margin.
Also comment on system stability.
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5 (a)
Derive the time response expression for a second order control system subjected to unit step input.
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5 (b)
Sketch the Nyquist plot for
G(s)H(s)=50/[(s+1)(s+2)]
and comment on the closed loop stability of the system.
G(s)H(s)=50/[(s+1)(s+2)]
and comment on the closed loop stability of the system.
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6 (a)
For a system with transfer function
G(s) = 16/[(s2+1.6s+16)]. Find:
(i) rise time
(ii) damped frequency of oscillation.
(iii) Peak time
(iv) peak overshoot
(v) Settling time.
G(s) = 16/[(s2+1.6s+16)]. Find:
(i) rise time
(ii) damped frequency of oscillation.
(iii) Peak time
(iv) peak overshoot
(v) Settling time.
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6 (b)
What is sensitivity? Explain the effect of system parameter variations on the sensitivity of open loop and closed loop control system.
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Write shorts notes any two of the following:-
7 (a)
Static error coefficients and steady state errors.
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7 (b)
Stepper motors.
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7 (c)
Error compensation techniques.
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