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


1(a) Find the transfer function from the signal flow graph given fig.1

5 M
1(b) Find the steady-state errors due to units step and unit ramp inputs for a unity negative feedback system whose open loop transfer function is [G(s) =dfrac{K}{s(s+1)}\]
5 M
1(c) Find the position and velocity error coefficient for the system with open loop transfer function [G(s) =dfrac{50}{(1+0.1s)(1+2s)}\]
5 M
1(d) Determine the stability of the system that has the transfer function[G(s) =dfrac{G(s+1)}{(s^{4}+2s^{3}+9s+6)}\]
5 M

2(a) For the RLC netwrok shown in fig 2(a),determine Transfer function State space equation

5 M
2(b) Consider the block diagram of a system In fig 2(b).Determine C(s)R(s) using block reduction techniques

10 M

3(a) Open loop gain of a unity feedback system is [G(s) =dfrac{200}{s(s+2)}\] Determine,when the system is excited by unit step input
Damping coefficient
First overshoot
Since the system is under damped, and hence non-periodic,why should it have a damped frequency/
6 M
3(b) The transfer function of a system is given by
[dfrac{C(s)}{R(s)}=dfrac{K/T}{s^{2}+dfrac{1}{T}s+dfrac{K}{T}}
It is desired to reduce the overshoot from 60% tp 20% by varying k and keeping T constant.By what factor K should be reduced?
14 M

4(a) The partial Routh array of a unity feedback system is given below

How many roots it has in the right half plane ?Comment on the stability of the system.Determine the characteristic equation of the system.
10 M
4(b) The characteristic equation of a system is [s^{4}+20s^{3}+10s^{2}+s+k=0.find
The range of K for which system is stable
frequency of oscillation
10 M

5(a)(i)

Describe the working principle and construction of a servo motor
Give its application in control system

6 M
5(b) derive the sensitves STH and STG of a feedback control system where T is the closed loop gain H is feedback gain and G is the loop gain of the system.
8 M
5(b)(ii) Compare the method of determining stability of a system by Nyquist plot and Bode plots.
6 M

6(a) Draw the Bode plots for the circuits shown in fig

10 M
6(b) State Mason gain formula (2 marks) From the block diagram shown in fig.draw the corresponding single graph evaluate the transfer function of the complete system using Manson gain formula

10 M

7(a)(i) Define 'Gain margin' and 'Phase Margin'.
4 M
7(a)(ii) Explain their importance in determining the stability of a system.
2 M
7(b)(i) State the Nyquist criterion for testing the stability of a system
8 M
7(b)(ii) A closed loop control system is described by the block diagra shown In fig.determine the stability of the system Nyquist criterion

8 M



More question papers from Control Systems
SPONSORED ADVERTISEMENTS