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Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SEVENTH SEMESTER B.TECH DEGREE EXAMINATION(R&S), DECEMBER 2019

Course Code: EC409
Course Name: CONTROL SYSTEMS

Max. Marks: 100 Duration: 3 Hours
Note: Provide normal and semi log graph sheet
PARTA
Answer any two full questions, each carries 15 marks. Marks

1 a) Find the overall gain C(s)/R(s) for the signal flow graph shown using Mason’s gain (8)

equation.

0) Determine the transfer function X;(s)/ F(s) for the system shown below. (7)

2 a) The open loop transfer function of a servo system with unity feedback is (7)

G(s) = Evaluate the static error constants of the system. Obtain the steady state

5(0.15--1)'
error of the system when subjected to an input given by

r(t)= 80 +ajttant?/2.

b) Derive an expression for time response of second order under damped system to step input. (8)
3 a) The unity feedback system is characterised by an open loop transfer function G(s) = (7)
rior Determine the gain K so that the system will have a damping ratio of 0.5 for this

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