STUPIDSID
1(a)
What are the properties of good control system?
4 M
1(b)
Construct mathematical model for the mechanical system shown in Fig. Q1(b). Then draw electrical equivalent circuit based on F-V analogy.
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8 M
1(c)
For electrical system shown in Fig. Q1(C), obtain transfer function V2(s)/V1(s).
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8 M
2(a)
List the features function for the block diagram shown in Fig. Q2(b), using block diagram reduction method.
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8 M
2(c)
For the electrical circuit shown in Fig. Q2(c), obtain over all transfer function using Mason's gain formula.
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8 M
3(a)
What are static error coefficients? Derive expression for the same.
6 M
3(b)
An unity feedback system has \( G(s)=\dfrac{20(1+s)}{s^2(2+s)(4+s)},\) calculate its steady state error co-efficients when the applied input r(t) = 40 + 2t + 5t2.
6 M
3(c)
A R-L-C series circuit is an example of second order function. If R = 1 Ω, α = 1H and C = 1F, find response for a step voltage of 10 V connected as input and output across R.
8 M
4(a)
List the advantages and disadvantages of Routh's criterion (R-H-criterion).
4 M
4(b)
A unity feedback control system has \( G(s)=\dfrac{k(s+13)}{s(s+3)(s+7)}.\) Using Routh's criterion calculates the range of k for which the system is i) stable ii) has closed loop poles more negative than -1.
10 M
4(c)
Find the range of k for which the system, whose characteristic equation is given below is stable. F(s) = s3 + (k + 0.5) s2 + 4ks + 50.
6 M
5(a)
Sketch the root locus for unity feedback having \( G(s)=\dfrac{k(s+1)}{s(s+2)(s^2+2s+2)}.\) Determine the range of k for the system stability.
16 M
5(b)
Explain how to determine angle of arrival from poles and zeros to complex zeros.
4 M
6(a)
What are the limitations of frequency response methods?
4 M
6(b)
A control system having \( G(s)=\dfrac{k(1+0.5s)}{s(1+2s)\left ( 1+\dfrac{s}{20} +\dfrac{s^2}{8}\right )}.\) draw bode plot, with k = 4 and find gain margin and phase margin.
16 M
7(a)
What is polar plot? Explain procedure to sketch polar plot for type 0 and type 1 systems.
8 M
7(b)
Sketch the Nyquist plot of a unit feedback control system having the open loop transfer function \( G(s)=\dfrac{5}{s(1-s)}.\) Determine the stability of the system using Nyquist stability criterion.
12 M
8(a)
Find the transfer function for a system having state model as given below : \[x=\begin{bmatrix}
0 & 1\\
-2 & -3
\end{bmatrix}x+\begin{bmatrix}
1\\
0
\end{bmatrix}u\ \ y=[1\ \ 0]x.\]
8 M
8(b)
Obtain the state model for the electrical system given in Fig. Q8(b) choosing the state variables as i1(t), i2(t) and VC(t).
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12 M
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