| LINEAR CONTROL SYSTEM |
| PAPER NO. 4 |
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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) What are state equations? (b) Give the expression of the theorm and conditions under which it is valid. (c) What are standard test input signals. (d) Give examples of two error detectors. (e) What do you understand by type 0 and type 1 system? (f) What is Bode Plot? (g) Where Synchros are used? (h) What do you understand with the help of Routh Hurwitz criterion? (i) What is characteristics equation and its importance. (j) What are sampled data control system? Section-B Marks:5 Each 2. Is traffic control system open loop. If yes, can it be converted to closed loop? Give their relative advantages and disadvantages. 3. Transfer function of:  4. For the control system shown in the figure find the range of values of K for the system to be stable.  input r(t) is applied to the system. It si desired that the steady state error should be equal to or less than 0.1 for the given input function. Dtermine the minimal value of K1 to satisfy the requirement. 6. Explain the use of servomotors. 7. Is washing machine open loop or closed loop? Explain. Section-C Marks : 10 Each 8. Draw the Bode Plots for a system having G(s)H(s) = 100/s(s+1)(s+2) Find (a) Gain margin (b) Phase margin (c) Gain cross over frequency. (d) Phase cross over frequency. 9. The open loop transfer function of a unity feedback system is G(s)H(s) = K(s+3)/s(s-1) Comment on stability. 10. A unity feedback control system has an open loop transfer function G(s) = K/s(1 + 0.02s)(1 + 0.01s) (a) Sketch the root locus diagram (b) Detrmine the marginal value of K which will cause instability. (c) Determine the valve of K when the system is critically damped. |
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