STUPIDSID
1 (a)
Draw the F-V the F-I analogous circuit for the mechanical system shown in Fig Q1(a) with necessary equation.
12 M
1 (b)
For the rotational mechanical system shown draw the torque-voltage analogous circuit for Fig Q1(b).
8 M
2 (a)
Using block diagram reduction techniques for C/R for Fig Q2(a).
5 M
2 (b)
Draw the signal flow graph for the block diagram shown in Fig Q2(b) and find the TF.
8 M
2 (c)
Draw the signal flow graph and find TF Fig Q2(c).
7 M
3 (a)
Find the error coefficients Kp, Kv and Ka for the system having \[ G(s)= \dfrac {10}{s^2+2s+9} \ \& \ H(s)=0.2 \]
6 M
3 (b)
Find K1 so that ?=0.35. Find the corresponding time domain specifications for Fig Q3(b).
6 M
3 (c)
With respect to a second order system define the following by drawing neat response curve and expressions: i) Maximum overshoot (Mp); ii) Time delay (td); iii) Time constant (T); iv) Rise time (tt).
8 M
4 (a)
What are the necessary and sufficient conditions for a system to be stable according to Routh-Hurwitz criterion?
4 M
4 (b)
What value of K makes the following unity feedback system stable? \[ G(s)=\dfrac {K(s+1)^2}{s^3} \]
4 M
4 (c)
Find how many roots have real parts greater than -1 for the characteristics equation.
s3+7s2+25s+39=0
s3+7s2+25s+39=0
4 M
4 (d)
How many roots of the characteristic polynomial lie in the right half of S-plane, the left half of s-plane and on jω axis. Comment on the stability of the system.
P(s)=s5+2s4+2s3+4s2+s+2
P(s)=s5+2s4+2s3+4s2+s+2
8 M
5 (a)
What are the angle and magnitude conditions that a point on root locus has to satisfy?
6 M
5 (b)
Sketch the root locus for the unity feedback control system whose open loop transfer function is \[ G(s)={1}{s(s+2)(s^2+4s+13)} \]
14 M
6 (a)
With respect to Nyquist criterion explain the following:
i) Encircle of a point
ii) Analytic function and its singularities.
iii) Mapping theorem of principle of argument
iv) Find the number of encirclements of point A in Fig Q6.1(a) and Q6.1(b)
i) Encircle of a point
ii) Analytic function and its singularities.
iii) Mapping theorem of principle of argument
iv) Find the number of encirclements of point A in Fig Q6.1(a) and Q6.1(b)
8 M
6 (b)
For the open loop TF of a feedback control system \[ G(s)H(s)=\dfrac {K(1+2s)}{s(1+s)(1+s+s^2)}. \] Sketch the complete Nyquist plot and hence find the range of K for stability using Nyquist criterion.
12 M
7 (a)
Draw the bode plot for a system having \[ G(s)=\dfrac {K(1+0.2s)(1+0.025s)}{s^3(1+0.01s)(1+0.05s)}. \] Comment on the stability of the system. Also find the range of K for stability.
12 M
7 (b)
For the plot shown determine the TF (Fig Q7(b)).
8 M
8 (a)
What are the advantages of state space analysis?
4 M
8 (b)
A system is described by the differential equation \[ \dfrac {d^3y}{dt^3}+ \dfrac {3d^2y}{dt^2}+ \dfrac {17dy}{dt}+5y=10u(t) \] Where y is the output and u is the input to the system. Determine the state space representation of the system.
6 M
8 (c)
Obtain the state equations for the electrical network shown in Fig. Q8(c).
10 M
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