Download AKTU B-Tech 5th Sem 2015-2016 Control System Eee 502 Nee 503 Question Paper

Printed Pages: 4

EEE-502/NEE-503

(Following Paper ID and Roll No. to be filled in your Answer Book)

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Paper ID: 121522/121503 Roll No.

B.Tech. (SEM. V) THEORY EXAMINATION, 2015-16

CONTROL SYSTEM

Time: 3 hours] [Maximum Marks: 100

Section-A

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Note: Attempt all sections. All sections carry equal marks. Write answer of each part in short. (2×10=20)

1. (a) Explain open loop and closed system with physical examples.
2. (b) State the necessary & sufficient condition of Routh Hurwitz criterion.
3. (c) Explain the significances of constant M & N circles.
4. (d) What is the need of compensation in control system?

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5. (e) Draw the polar plot of open loop transfer function 11000 / s².
6. (f) What are state and state variables?
7. (g) Consider the system as shown in Fig. Determine the value of 'a' such that the damping ratio is 0.5.
8. (h) Define Rise time & Delay time for second order control system.
9. (i) Explain Mason's gain formula.

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10. (j) Define the term Centroid & Break Away point.

Section-B

Note: Attempt any five questions of the following. (10×5=50)

2. Determine the transfer function C(s)/R(s) for the block diagram shown in Fig. below
3. Derive the expression for step response of second order control system for under-damped.

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4. Using Routh's stability criterion, determine the range of K for open loop transfer function K / s(s+0.8)(1+as)
5. Construct Root loci for open loop transfer function: G(S)H(S)= K / S(S+1)(S+3)
6. Derive expression for resonant frequency and resonant peak for second order control system.
7. Sketch the Nyquist plot for the system with open loop transfer function 60 / (s+1)(s+2)(s+5) and comment on stability. G(s)H(S)=
8. Write short notes on PD controller and Synchros.

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9. Obtain state equation of a given transfer function:
   1. Y(s) / U(s) = 1 / (s³ +2s² +3s+1)
   2. Y(s) / U(s) = 1 / (s+1)(s+4)

Section-C

Note: Attempt any two questions of the following. (15×2=30)

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10. For a unity feedback system, the open loop transfer function is G(s)H(s)= 2(s+0.25) / s²(s+1)(s+0.5). Draw Bode Plot and determine gain margin, phase margin, ?_gc and ?_pc
11. A system characterised by the transfer function Y(s) / u(s) = 2 / (s³+6s²+11s+6). Find the state and output equation in matrix from and also test the controllability and observability of the given system.
12. Write short notes of the following:
    1. Lead compensator
    2. Lag compensator
    3. Gain Margin and Phase Margin

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