STUPIDSID
Attempt any Four questions
1(a)
Explain Adaptive control system.
5 M
1(b)
Explain lead and lag compensator
5 M
1(c)
Explain Controllability and Observability with its necessity for stability.
5 M
1(d)
Determine whether the following systems are stable, marginally stable, and unstable
(i) -2,0; (ii) -2+j, -2-j; (iii) -2+j4, -2-j4, -2; (iv) x(t) = cosωt; (v) x(t) = e-t sin4t.
(i) -2,0; (ii) -2+j, -2-j; (iii) -2+j4, -2-j4, -2; (iv) x(t) = cosωt; (v) x(t) = e-t sin4t.
5 M
1(e)
Examine the stability of s5+2s4+2s3+4s2+4s+8=0 using Routh's method.
5 M
2(a)
Obtain the overall transfer function from block diagram.
10 M
2(b)
Sketch the complete root locus for the system
G(s)H(s) = [K (s+1)(s+2)] / [(s+0.1)(s-1)], where K>0.
G(s)H(s) = [K (s+1)(s+2)] / [(s+0.1)(s-1)], where K>0.
10 M
3(a)
Obtain the state variable model of the parallel RLC network.
10 M
3(b)
Explain P, PI and PID controller.
10 M
4(a)
The state equation of a linear time-invariant system is given below: \[\begin{bmatrix}
\dot{x_1}\\
\dot{x_2}
\end{bmatrix}=\begin{bmatrix}
-2 & 0\\
1 & -1
\end{bmatrix}\begin{bmatrix}
x_1\\
x_2
\end{bmatrix}+\begin{bmatrix}
0\\
1
\end{bmatrix}u\]
Where u>0.
Determine the following:
(i) The state transition matrix.
(ii) Controllability of the system.
Where u>0.
Determine the following:
(i) The state transition matrix.
(ii) Controllability of the system.
10 M
4(b)
Sketch the bode plot for the open loop transfer function given by:
G(s) = [288(s+4)] / [s(s+1) (s2+4.8s+144)] and H(s) = 1.
G(s) = [288(s+4)] / [s(s+1) (s2+4.8s+144)] and H(s) = 1.
10 M
5(a)
Derive the expression of Peak Overshoot when step input applied to the system.
5 M
5(b)
Sketch the polar plot of G(s) = 12 / [s(s+1)].
5 M
5(c)
For G(s)H(s) = 1+4s / [s2+(1+s)(1+2s)], draw the Nyquist plot examine the stability of the system.
10 M
Attempt any two
6(a)
Write a short note on Robust control system.
10 M
6(b)
Construct the signal flow graphs for the following set of equations:
Y2 = G1Y1 - G2Y4
Y3 = G3Y2 + G4Y3
Y4 = G5Y1 + G6Y3
Where Y4 is the output.
Y2 = G1Y1 - G2Y4
Y3 = G3Y2 + G4Y3
Y4 = G5Y1 + G6Y3
Where Y4 is the output.
10 M
6(c)
Explain the Correlations between time and frequency domain specifications of the system.
10 M
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