1(a)
Explain generalized measurement system elements with block diagram.

5 M

1(b)
What is mathematical modeling? Write significance of mathematical modeling in control systems.

5 M

1(c)
Write short note on PID controller.

5 M

1(d)
Write the working principle of piezoelectric accelerometer

5 M

2(a)
Explain the following terms with respect to measurement system: (i) Span and Range (ii) Drift

5 M

2(b)
Illustrate the working principle of 'Nozzle flapper' for displacement measurement.

5 M

2(c)
Convert the following state-space system of a single input single output system into a transfer function: \[\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}=\begin{bmatrix} -3 & 2\\ 1 & 1 \end{bmatrix}\begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}+\begin{Bmatrix} 0\\ 2 \end{Bmatrix}u(t)\\\\y(t)=\begin{bmatrix}1 &0\end{bmatrix} \begin{Bmatrix} x_1\\ x_2 \end{Bmatrix}\]

Here x

Here x

_{1}and x_{2}are state variable u(t) is a force vector and y(t) being the system response.
10 M

3(a)
With a neat sketch explain working of an Operational Amplifier (Op-amp). Enumerate limitations of the same.

5 M

3(b)
What are desired, interfering and modifying inputs w.r.t. measurement of a system?

5 M

3(c)
For a unity feedback system having \( G(s)=\dfrac{10(s+1)}{s^2(s+2)(s+10)}\) determine (i) error coefficients (ii) Steady State error for input as \(1+4t+\dfrac{t^2}{2} \)

10 M

4(a)
What are the different elastic transducers used for the pressure measurement. Illustrate the working principle of any one in detail.

10 M

4(b)
A system is represented by the equation S

^{B}+5S^{6}+2S^{4}+3S^{2}+1=0. Examine the stability of the system by using Routh's criterion.
10 M

5(a)
Sketch Bode plot and assess the stability for the control system having open loop transfer function \[G(S)H(S)=\dfrac{120}{(S+2)(S+10)}\]

10 M

5(b)
With a neat sketch explain the constructional feature and working of (i) Ionization Gauge, (ii) Thermocouples

10 M

6(a)
Draw the root-locus of the control system whose open-loop transfer option is given by \[G(S)H(S)=\dfrac{K}{S^2(S+1)}\]

10 M

6(b)
With a neat sketch explain the constructional feature and working of (i) digital tachometer, (ii) Rota-meter.

10 M

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