1
a) Compare open loop and closed loop system with suitable examples. (5)  
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b) Find the transfer function using Mason’s gain equation (10)  
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3
a) Determine the rise time, peak time, settling time and peak overshoot of a second order control (5) system  
subjected to a unit step input. The damping ratio = 0.5 and undamped natural frequency  
b) Derive an expression for rise time of a second order system. (5)  
c) Derive an expression for time response of a second order under damped system to step input.  
(5)  
a) Find the transfer function of the given system using block reduction technique  
(10)  
b) The block diagram of a unity feedback (negative) system is shown in figure. Determine the (5)  
steady state error for unit ramp input when K=400. Also determine the value of K for which the  
steady state error to unit ramp will be 0.02  
R(s)  
C(s)  
PART B  
Answer any two full questions, each carries 15 marks.  
4
a) Comment on the stability of the system whose characteristic equation is given by (5)  
s5+2s4+3s3+6s2+2s+1=0.  
b) A unity feedback control system has an open loop transfer function (10)  
G(s)=K(s+9)/ s(s+3)(s+5).Sketch the root locus.  
5
6
a) Compare PI,PD and PID controllers. (5)  
b) Sketch the bode plot for the following transfer function and determine phase margin and gain  
(10) margin. G(s) =  
.
a) Draw the Nyquist plot for the system whose open loop transfer function is (8) G(s)H(s) = . Determine  
the range of K for which the closed loop system is  
stable.  
b) Describe the design procedure of a lag compensator. (7)  
PART C  
Answer any two full questions, each carries 20 marks.  
7
a) A linear system representation in state space is given as  
(5)  
Apply Kalman’s test to find whether the system is completely observable.  
b) A system is represented by the differential equation y’’+3y’+2y = r’’+2r’+2r.Obtain a state (7)  
model in controllable canonical form. Draw the state diagram.  
c) Obtain the state model for the given transfer function (8)  
8
a) Explain the procedure of jury test.  
(5)  
b) The input-output relation of a sampled data system is described by the equation  
Determine the z-transfer function.  
(7)  
c) (8)  
Determine the state transition matrix of A=  
9
a)  
An electrical network is shown in fig. a Select  
asset of proper state variables and write down a state equation, in physical-variable form, to represent  
the system (10)  
VO  
b) For the sampled data control system shown if Fig, find the response to unit step input where  
(10)  
G(s)=  
T-1 sec  
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