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Code No: RA220205

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III B.Tech II Semester Regular Examinations, November 2007 CONTROL SYSTEMS (Electronics & Computer Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Illustrate atleast three applications of feedback control systems? (b) Explain translatory and rotary elements of mechanical systems?

[8+8]

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2. (a) Reduce the given block diagram (figure 2a)and hence obtain the transfer function C(s) R(s)

Figure 2a

(b) Explain synchro with neat sketch.

[10+6]

3. (a) Why derivative controller is not used in control systems? What is the effect of PI controller on the system performance?

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(b) The system shown in figure 3b uses a rate feed back controller. Determine the tachometer constant Kt so as to obtain the damping ratio as 0.5. Calculate the corresponding ωd , Tp , Ts and Mp . [6+10]

Figure 3b

4. (a) Define the term root locus and state the rule for finding out the root locus on the real axis? (b) Calculate the angle of asymptotes and the centroid for the system having K(s+3) G(s)H(s) = s(s+2)(s+4)(s+5) (c) For G(s)H(s) = the jω - axis?

K , s(s+1)(s+3)

find the intersection point of the root locus with [4+6+6] 1 of 2

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Code No: RA220205 5. (a) Explain the term frequency response analysis.

(b) Show that in Bode magnitude plot the slope corresponding to a quadratic factor is -40 dB/dec. i. Minimum phase function ii. Non minimum phase function iii. All pass function.

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(c) Explain with the help of examples

[4+6+6]

6. Sketch the polar plot of a system given by G(s) =

0.5 (s+1)(s+0.5)

ld .

A pole at origin is added to this system. Sketch the polar plot of the new system & comment on how the stability of the system is affected as a result of this change. [16] 7. (a) What is compensation? What are the different types of compensators?

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(b) What is a lead compensator, obtain the transfer function of lead compensator and draw pole-zero plot?

(c) Explain the different steps to be followed for the design of lead compensator using Bode plot? [3+3+10]

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8. (a) The system is represented by the differential equation y¨ + 5y˙ + 6y = u Find the transfer from state variable representation.

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(b) Consider the RLC network shown in figure 8b. Write the state variable representation

Figure 8b ?????

2 of 2

RA220205 III B.Tech II Semester Regular Examinations, November ...

Sketch the polar plot of the new system · & comment on how the stability of the system is affected as a result of this change. [16] · 7. (a) What is compensation?

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