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2. (a) Obtain the closed loop transfer function C(S)/R(S) of the system whose block diagram is shown in fig bleow:
Total No. of Questions : 08
[Total No. of Printed Pages : 04
ES-191
B.Tech. (Regular & ATKT) Examination, 2024
(Fifth Semester)
(New Scheme)
CONTROL SYSTEM
EL-503
Electronics Engineering
Time : 3 Hours]
[Maximum Marks : 60
Note : Attempt any Five questions. All questions carry equal marks. Assume suitable data if required.
(a) Explain AC and DC servo motors in detail.
(b) Define transfer function and determine the transfer function of RLC series circuit if the voltage across capacitor in an output variable and inputs is source voltage V(S).
(b) Explain open loop and closed loop control system with its application.
(a) A positional control system with velocity feedback is shown in figure below, what is the response of the system for unit step input ?
(b) Explain time response of first, second and higher order systems to various test signals.
(a) Explain various test signals used in control system.
(b) Using routh criterion determine the stability of the system represented by the characteristic equation $s^4 + 8s^3 + 18s^2 - 16s + 5 = 0$. Comment on the location of the roots of characteristics equation.
(a) What is lag compensator ? Give an example.
(b) For the function $G(s) = \frac{5(1-2s)}{(1+4s)(1-0.25s)}$, draw the bode plot.
(a) What is lag-lead compensator ? Obtain the transfer function of it.
(b) The transfer function of a system is given by :
$\frac{C(s)}{R(s)} = \frac{53}{s^2 + 6s + 49}$
Determine :
(i) Resonant Frequency (W_r)
(ii) Resonant Peak (M_p)
(iii) Bandwidth (W_b).
(a) Obtain the state transition matrix if :
$A = \begin{bmatrix} 1 & 0 \\ -6 & 5 \end{bmatrix}$
(b) Convert the following system matrix to conical form and hence calculate the transition matrix $e^{At}$.
$A = \begin{bmatrix} 4 & 1 & -2 \\ 1 & 0 & 2 \\ 1 & -1 & 3 \end{bmatrix}$
Write short notes on the following :
(a) PID controller
(b) Gain Margin and Phase Margin
(c) Signal Flow Graph.