MU Principles of Control Systems - May 2014 Exam Question Paper

MU Electronics Engineering (Semester 4)
Principles of Control Systems
May 2014

Total marks: --
Total time: --

INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Attempt any four:-

1 (a) Differentiate between feedback and feed forward control system.

5 M

1 (b) What is a compensator? Why is it required?

5 M

1 (c) What are the properties of state transition matrix?

5 M

1 (d) Explain the concept of absolute, relative and robust stability.

5 M

1 (e) Find the transfer function for following network.

5 M

2 (a) Obtain the transfer function of the mechanical system.

10 M

2 (b) Consider unity feedback control system with an open loop transfer function of -

$G(s) =\dfrac {k(s+1)(s+2)}{(S+0.1)(s-1)}$
i) Plot the root loci showing asymptotes, centroid break away point, the gain at which root locus crosses jw axis.

ii) Find value of gain for which a closed system is critically damped.

10 M

3 (a) A unity feedback control system is characterized by the open loop transfer function

$G(s) = \dfrac {k(s+13)}{s(s+3)(s+7)}$ using the Routh criterion, calculate the range of values of k for system to be stable.

10 M

3 (b) Write a note on advances in control systems.

10 M

4 (a) Obtain the state variable model of the transfer function-

$\dfrac {Y(s)}{U(s)} = \dfrac {s^2 + 3s+3}{s^2 + 2^2s+3s+1}$

10 M

4 (b) Sketch the Bode plot for the open loop transfer function given by -

$G(s) \ H(s) = \dfrac {0.5 (1+5s)}{s^2 (1+0.5s)}$

10 M

5 (a) Find rise time, setting time and peak overshoot for the system given by transfer function -

$G(s) = \dfrac {25}{(s^2 + 8s +25)}$

5 M

5 (b) Using Nyquist criterion, determine the closed loop system having following open loop transfer function is stable or not. If not, find the number of poles in right half of s plane-

$G(s) \ H(s) = \dfrac {1+4s}{s^2 (1+s)(1+2s)}$

5 M

5 (c) Check controllability and observability for the system-

$x= \begin{bmatrix}1 &2 &1 \\0 &1 &3 \\1 &1 &1 \end{bmatrix} x+ \begin{bmatrix} 1\\0 \\2 \end{bmatrix} u \\ y = \begin{bmatrix}1 &3 &0 \end{bmatrix} x$

10 M

6 (a) Explain the concept of on-off controller using example.

5 M

6 (b) Compare lead-lag compensator.

5 M

6 (c) Obtain the overall transfer function from signal flow graph.

10 M

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