LINEAR CONTROL SYSTEM
PAPER NO. 3          
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PUT ON: June, 2K2
                                               IC-204
                              LINEAR CONTROL SYSTEM
                                  (B.Tech 4th Semester,2052)
Time : 3 Hours                                                                                        Maximum Marks : 60
NOTE:-
This paper consist of Three Sections. Section A is compulsory. Do any Four questions from
                 Section B and any two questions from Section C


                                     Section-A                                         Marks : 20


1(a) Plant and Controller
(b) Servomechanics and regulating systems.
(c) Comtinuous and sampled data controlled systems.
(d) Advantages and disadvantages of transfer approach.
(e) Steady state error and error coefficients.
(f) Concept of absolute stability and relative stability.
(g) Error detectors and error sensors.
(h) Stability analysis ans sensitivity analysis.
(i) Loop T.F. and closed Loop T.F.
(j) Concept of Routh-Hurwitz criterion and Nyquist criterion.

                                             
Section-B                                          Marks:5 Each

2. Define state variables and mention its importance in system modeling . Develop state variables modelling for a
    series RLC circuit with suitable input, output and state variables.
3. Enumerate time domain specifications of a control system. Obtain the rate feedback constant of a unity feedback
    system with a minor rate feedback loop shown in figure that improves the damping factor of the system to 0.800
    with this value of damping factor, calculate the overshoot of response.
            
4. Define gain margin ang phase margin sketching Bode's Plots and Nyquist plots. Explain how is problem stability
    analysed in terms of these margins.
5. Define stady state errors and explain how are these minimised. Determine the position, velocity and accerelation
    error constants for the u.f.b. control system and open loop T.F., G(s) given by: G(s) = K/s(s2 + 4s + 20).
6. Enemurate and explain frequency response specifiations Explain relation between time and frequency response
    of a second order system.

                                              
Section-C                                        Marks : 10 Each


7. Define stability of a linear system and explain how is Routh-Hurwitz criterion applicable to such systems. Explain
    limitations of this criterion. A u.f.b. control system is described by its open loop TF, G(s) = K/(s2 +4s)(s + 5).
    Obtain 'K' for which above system remains stable.
8. What do you mean by Root locus technique? Explain how will you sketch the root locus plot. The open loop T.F.
    of u.f.b. system is given by g(s) = k/s(s + 1)(s + 5) Sketch the root locus diagram and obtain 'k' for which the
    above system to remain critically stable.
9. Write short notes on the following:
    (a) Applications of Magnetic amplifiers
    (b) Various compensated networks and applications of Lag-compensation.
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