Attempt any four:
1 (a)
Compare openloop and closeloop system with suitable example.
5 M
1 (b)
State construction rules of root locus.
5 M
1 (c)
Give correlation between time and frequency domain specifications.
5 M
1 (d)
Comment on stability using bode plot.
5 M
1 (e)
Explain the term relative stability and conditional stability with suitable example.
5 M
2 (a)
Reduce the following block diagram using signal flow graph technique.
10 M
2 (b)
Construct the bode plot for the system whose openloop transfer function is given by \[ G(s)= \dfrac {100}{s(s+0.5)(s+10)} \] Determine the gain margin and phase margin and comment on stability.
10 M
3 (a)
Consider a system assume that value of gain 'K' is non negative \[G(s) = \dfrac {K}{s(s+1)(s+2)} \] Draw the root locus for a given system.
10 M
3 (b)
Derive the unit step response of a second order underdamped system.
10 M
4 (a)
Given \( G(s) H(s) = \dfrac {K}{s(Ts+1)} \) Test the given system for absolute stability using Nyquist plot.
10 M
4 (b)
Obtain the transfer function of a Mechanical system shown below.
10 M
5 (a)
For the following system.
Where = 0.6 and wn=5 rad/sec obtain (i) Rise time (ii) Peak time (iii) Maximum overshoot (iv) Settling Time. where the system is subjected to unit step input.
Where = 0.6 and wn=5 rad/sec obtain (i) Rise time (ii) Peak time (iii) Maximum overshoot (iv) Settling Time. where the system is subjected to unit step input.
10 M
5 (b)
Sketch the polar plot for a unity feed back closed loop system \[ G(s) = \dfrac {1}{s(s+1)^2} \]
10 M
6 (a)
Obtain the static error coefficient for type 0, 1 & 2 system if the input to the each system is step, ramp and parabolic.
10 M
6 (b)
Determine the stability of the system having the characteristics equation.
i) S5 + 6S4 + 15S3 + 30S2 + 44S + 24 = 0
ii) S5+3S4+10S2+S+8=0.
i) S5 + 6S4 + 15S3 + 30S2 + 44S + 24 = 0
ii) S5+3S4+10S2+S+8=0.
10 M
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