Question Paper: Control Systems : Question Paper Dec 2014 - Electronics & Telecomm. (Semester 4) | Mumbai University (MU)
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## Control Systems - Dec 2014

### Electronics & Telecomm. (Semester 4)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1 (a) Compare open loop and closed loop system with suitable examples. (5 marks) 1 (b) Draw the step response for an under-damped second order system with damping ratio 0.2, 1, 1.2 respectively.(5 marks) 1 (c) The transfer function of a system is given by $$T(s)= \dfrac {k(s+6)} {s(s+2)(s+5)(s^2+7s+1^2)}$$
Determine i) Poles ii) Zeros iii) Characteristic equation
(5 marks)
1 (d) Define Hurwitz stability criteria with its advantages and disadvantages. Give suitable example.(5 marks) 2 (a) Determine transfer function C(S)/R(CS) of the system shown in fig. (10 marks) 2 (b) Using Masons gain formula, find C(S)/R(CS) of SFG shown in fig. (10 marks) 3 (a) Show the pole zero location and the unit step response of the following second order control system-
i) Under-damped
ii) Over-damped
iii) Critical damped
iv) Undamped
(10 marks)
3 (b) For the network shown in fig obtain - i) Transfer function ii) State variable model (10 marks) 4 (a) Write the differential equation for the mechanical system shown in fig and explain force voltage analogy. (10 marks) 4 (b) The open loop transfer function of a unity feedback system is given by [ G(S)=dfrac {K(s+9)}{s(s^2+4s+11)} ] Sketch the Root locus of the system.(10 marks) 5 (a) Sketch the polar for the open loop transfer function given by -
[ G(s) = dfrac {1}{s^2(1+s)(1+2s)} ]
(10 marks)
5 (b) A unity feedback system has [ G(s)=dfrac {40(s+2)}{s(s+1)(s+5)} ] Determine
i) Type of system
ii) All error coefficients
iii) Error for ramp I/P with magnitude-3.
(10 marks)
6 (a) Sketch the bode plot for the following Transfer function [ G(s)=dfrac {75(1+0.25)}{s(s^2+16s+100)} ](10 marks) 6 (b) What is Adaptive Control? Explain any one adaptive control methods.(5 marks) 6 (c) Explain controllability and observability.(5 marks)