STUPIDSID
1 (a)
Compare lag and lead compensator along with electrical equivalent circuit and pole-zero plot in s-plane.
5 M
1 (b)
Explain in brief different forms of industrial PID controllers.
5 M
1 (c)
Write a short note on modelling of the sampler in digital control system.
5 M
1 (d)
Explain start/stop interlocking circuit in PLC programming with the help of suitable example.
5 M
1 (e)
Explain the scan cycle of execution in PLC.
5 M
1 (f)
Consider the system defined by \[ \dot{x}=Ax + Bu \ \ y=Cx \\
\text{where } A=\begin{bmatrix}
-1 &0 & 1\\1
&-2 &0 \\0
&0 &-3
\end{bmatrix} \ \ B=\begin{bmatrix}
0\\0
\\1
\end{bmatrix} \ \ C=\begin{bmatrix}
1 &1 &0
\end{bmatrix} \] Transform the system equation into (i) controller canonical form and (ii) observer canonical form.
5 M
2 (a)
Give a unit feedback system with \[ G(s)= \dfrac {1}{S(S+1)(0.5s+1)} \] Use frequency response method to design lead compensator to yield (i) Steady state error to a unit ramp input is less than 0.05 (ii) Phase margin more than 45 degree.
10 M
2 (b)
Design a state variable feedback controller to yield a 20.8% overshoot and a settling time of 4 second for a plant. \[ \dot{x}=Ax + Bu \ \ y=Cx+Du \\
\text{Where, } A=\begin{bmatrix}
0 &1 &0 \\0
&0 &1 \\-1
&-5 &-6
\end{bmatrix} \ \ B=\begin{bmatrix}
0\\0
\\1\end{bmatrix} \ \ C=\begin{bmatrix}
10 &1 &0
\end{bmatrix} \ \ D=[0] \]
10 M
3 (a)
Write a short note on Proportional Band (PB) in case of PID controller.
5 M
3 (b)
Explain the stability of Digital control system.
5 M
3 (c)
Consider a linear system described by the differential equation \[ \ddot{y}+2\dot{y}+y=\dot{u}+u \text{ with } \\
x_1 = y, \ x_2 = \dot{y}-u \]
Determine whether this system is observable or not?
Determine whether this system is observable or not?
10 M
4 (a)
Design a integral controller for the plant \[ \dot{x}= \begin{bmatrix}
0 &1 \\-7
&-9
\end{bmatrix} x + \begin{bmatrix}
0\\1 \end{bmatrix}u \\
y[4 \ \ 1]x \] to yield a step response with 10% overshoot, a peak time of 2 seconds and zerd steady state error.
10 M
4 (b)
Given a Z.O.H. in cascade with \[ G_1 = (S) = \dfrac {s+2}{s+1} \] Find the sampled data transfer function, G(z) if a sampling time T is 0.5 second.
10 M
5 (a)
Find T(z)=C(z)/R(z) for the given block diagram if T=0.3 sec.
10 M
5 (b)
Draw and explain the PLC ladder diagram for manufacturing of 5 mH and 10mH inductor coils. When 5 mH inductor is produced, the machine makes 400 revolutions to wind the coil. If the inductor is produced 10 mH, the machine makes 800 revolutions before stopping.
10 M
6 (a)
Explain relay logic instruction in PLC.
5 M
6 (b)
Write a short note on PLC processor unit.
10 M
6 (c)
Explain AC input module of PLC.
5 M
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