1(a) Explain the two types of electrical
analogies for the mechanical system. (4 Marks)

(b) What are the domain quantities which
characterize a transient response? Derive an expression for percentage
overshoot of a second order system. (8 Marks)

(c) Define delay time, rise time and peak
time. (3 Marks)

(d) A thermometer has a time constant of
15.33 sec. It is quickly taken from a temperature 0

^{0}C to a water bath having a temperature 100^{0}C. What temperature will be indicated after 60^{0}C? (5 Marks)
2(a) State how type and order of a control
system is determined? (6 Marks)

(b) Write notes on dynamic error
coefficient and positional error coefficient. (6 Marks)

(c) Define static error constant. (4 Marks)

(d) Find the dynamic error coefficients of
the unity feedback system whose forward path transfer function G(s) =
10/s(s+1). (4 Marks)

3(a) What is a polar plot? Write the
procedure to sketch the polar plot. (6 Matrks)

(b) What is a Bode plot? Mention its
advantages. (6 Marks)

(c) Define phase margin and gain margin. (4
Marks)

(d) Open loop transfer function of unity
feedback control system is G(s)= (as+1)/s

^{2}. Determine the value of ‘a’ if the phase angle is 45^{0}. (4 Marks)
4(a) State Routh-Hunwitz criterion. Mention
its advantages and limitations. (8 Marks)

(b) What is root locus? Write a note on
angle and magnitude condition of root locus. (4 Marks)

(c) State Lyapunov stability theorem. (4
marks)

(d) Draw the Nyquist plot for unit feedback
control system, with open loop transfer function G(s) = K(1-s)/(s+1) (4 Marks)

5(a) Write the procedure for phase lead
compensation. (5 Marks)

(b) Draw the Bode plot for phase lag
network. (5 Marks)

(c) What is compensation? Discuss various types
of compensations. (6 Marks)

(d) Write short note on phase portraits. (4
Marks)

6(a)Define controllability and
observability. (6 marks)

(b) Write a short note on limitations of
state variable approach. (4 Marks)

(c) What is a tachogenerator? Mention some
applications. (6 Marks)

(d) Obtain the inverse Laplace
transform of the function F(s)=5e

^{-s}/(s+1) (4 Marks)
7(a) With a suitable diagram, show the
elements and working of industrial automatic controller. (8 Marks)

(b) Write short note on derivative and integral
control action. (6Marks)

(c) Write notes on PD,PI and PID control
actions. (6 Marks)

8(a) Compare ac servomotors with dc
servomotors. (8 Marks)

(b) Explain the principle of operation of
synchro error detector. (6 Marks)

(c) a unity feedback system is
characterized by an open loop transfer function G(s) = K/s(s+10). Determine the
gain K so that the system will have a damping ratio of 0.5. For this value of
K, determine setting time, peak overshoot and peak time for a unit step input.
(6 Marks)