Download GTU BE/B.Tech 2019 Summer 4th Sem New 2141004 Control System Engineering Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY

SEMESTER-IV(NEW) — EXAMINATION - SUMMER 2019

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Subject Code:2141004 Date:17/05/2019

Subject Name: Control System Engineering

Time:02:30 PM TO 05:00 PM Total Marks: 70

Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Define the following test signals. 03

1. Unit Impulse
2. Unit Step

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3. Unit Ramp

(b) Discuss the effect of adding a pole to a closed loop transfer function. 04

(c) Derive the expression of a second order control system subjected to unit step signal. 07

Q.2 (a) Discuss the effect of feedback on system gain and stability. 03

(b) Define the following terms with respect to a second order system subjected to unit step signal. 04

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1. Delay time
2. Rise time
3. Peak time
4. Settling time

(c) Derive the expressions for error constants K_p, K_v and K_a corresponding to step, ramp and parabolic input respectively 07

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OR

(c) Discuss open loop control systems and closed loop control systems with suitable examples. 07

Q.3 (a) 1. A system having repeated roots on imaginary axis is 03

(A) Stable (B) Unstable (C) Marginally stable (D) Conditionally stable

2. A system has its two poles on the negative real axis and one pair of poles lies on j? axis. The system is

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(A) Stable (B) Unstable (C) Marginally stable (D) Either A or C

3. Define order of a control system.

(b) Discuss force voltage (F-V) analogous system with analogous quantity. 04

(c) Find the transfer function for the system shown in figure 1. 07

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Q.3 (a) 1. State the necessary and sufficient condition for system stability. 03

2. Define type of a control system.

3. Define steady state error.

(b) Discuss force current (F-I) analogous system with analogous quantity. 04

(c) Obtain the transfer function for the signal flow graph shown in figure 2. 07

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