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Model Question Paper

Sixth Semester B.Tech Electrical and Electronics Engineering 

EE 010 603 CONTROL SYSTEMS

Time: 3hrs  Max: 100 marks

Part A (3x5=15marks)

1)  What are the applications of gyroscopes?

2)  Define polar plot. What are its advantages?

3) 

Differentiate between cascade compensation and feedback compensation.

4) 

Define

a)  State

b) 

State variables

c) 

State space

5)  What are the properties of state transition matrix?

Part B (5x5=25marks)

6)  Explain gain margin and phase margin

7)  State and explain Nyquist stability criterion.

8) 

Derive the transfer function of lag-lead network. Also draw its polar plot and bode plot

9) 

Define controllability and observability

10)  Derive the solution of homogeneous state equation

Part C (12x5=60marks)

11)  The open loop transfer function of a system is given by

G(s)H(s) = .   + . +   . Find the gain margin and phase margin.

OR

12) 

Write technical notes on :

a) 

Gyroscopes

b)  Rotating amplifiers

c) 

Amplidyne

13) 

Sketch the polar plot for G(s) =

 

  . Determine the Gain and phase

margins 

OR

14)  Using Nyquist stability criterion determine the range of K for closed loop stability of

the system with G(s)H(s)= +   + + +  

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15) 

Design a suitable compensator using root locus technique for a system with

G(s)H(s) = +  so that the compensated system has peakovershoot% settling time ≤ sec and steady state error is ≤ . 

OR

16)  Design a lag compensator using Bode plots for a system with

G(s)H(s) =

.. The system has to have  = 25Phase margin≥ ° 

17) Consider the system described by

   + 3

+ 2y =

 +3u. Represent the system in

controllable canonical form, observable canonical form and diagonal canonical form.

OR

18)  Obtain the transfer function of the system whose state model is

 =   − −

 + U

Y=  

19) 

Explain in detail state variable approach to discrete data system. 

OR

20)  (i)   =

  − −

Find the state vector when the initial condition is

 

 

(ii) Compute state transition matrix     =  X