Nr220206 Control Systems Apr2006

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Code No: NR220206

II B.Tech II Semester Supplementary Examinations, Apr/May 2006 CONTROL SYSTEMS (Electrical & Electronic Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the operation of ordinary traffic signal, which control automobile traffic at roadway intersections. Why are they open loop control systems? How can traffic be controlled more effectively?

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(b) For a signal flow graph in Figure 1 given below, determine the overall gain by masons gain formula. [8+8]

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Figure 1:

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2. (a) Derive the Transfer Function for potential divider. [8+8]

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(b) Derive the Transfer Function for a.c. servomotor.

3. (a) Determine whether the largest time constant of the characteristic equation given below is greater than, less than, or equal to 1.0 sec. s3 + 4s2 +6s+4=0 (b) Figure2. is a block diagram of a space-vehicle attitude-control system. Assuming the time constant T of the controller to be 3 sec., and the ratio K/J to be 92 rad2 /sec2 , find the damping ratio and natural frequency of the system. [6+10] 4. (a) Find the roots of the characteristic equation for systems whose open-loop transfer functions are given below. Locate the roots in the s-plane and indicate the stability of each system. 1 i. G(s)H(s)= (s+2)(s+4) 5(s+3) ii. G(s)H(s)= s(s+3)(s+8)

(b) A feedback system has an open-loop transfer function of G(s)H(s)= s(s2Ke +5s+9) . Determine the use of Routh criterion, the maximum value of K for the closed-loop system to be stable. [8+8] −s

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Code No: NR220206

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5. (a) Calculate the values of K and ωfor the point in s-plane at which the root locus of G(s)H(s)= s(s+2)(sK2 +2s+2) intersects the imaginary axis.

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K×10×(1−s) 6. G(s)H(S) = S(S+2)(S 2 +2S+25) with K = 1,

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(b) Determine the Breakaway points of the root locus for the open loop transfer K function G(s)H(s)= (s+2)(s+4) [8+8]

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Sketch asymptotic bode plot & find gain margin & phase margin. By what factor should ‘K’ be increased or decreased to obtain a gain margin of 40 db. [4x4]

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7. (a) Explain how Nyquist contour is selected for stability analysis.

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8. (a) Define the terms

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(b) Discuss the stability of the following system using Nyquist stability criterion K G(s)H(s) = (T s+1)s [6+10] i. State variable ii. State transition matrix.

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[4+4]

(b) Obtain the state equation and output equation of the electric network show in Figure3 [8]

Figure 3:

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