GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
Subject Code: 2140307
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-IV (NEW) EXAMINATION - WINTER 2018
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Subject Name: Control System and Analysis
Time: 02:30 PM TO 05:00 PM
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| Q.1 | (a) | Write applications of control system. | 03 |
| (b) | Write properties of Transfer Functions. | 04 | |
| (c) | Explain different types of Control system with examples. | 07 | |
| Q.2 | (a) | Describe Linear Time Invariant system with example. | 03 |
| (b) | The impulse response of a system is e-4t. Find the transfer function. | 04 | |
| (c) | Obtain the transfer function of the lead network shown in Fig.1. | 07 | |
| OR | |||
| (c) | Write differential equation for mechanical system as shown in Fig.2. Find F-I & F-V analogous circuits. | 07 | |
| Q.3 | (a) | Write properties of Signal Flow Graph. | 03 |
| (b) | Describe Torque to voltage and Torque to current analogy. | 04 | |
| (c) | Using Block diagram Reduction technique find the transfer function for each input to the output C for the system shown in Fig.3. | 07 | |
| OR | |||
| (c) | Explain Mason's gain formula. | 03 | |
| (b) | Describe Electrical-Thermal analogy. | 04 | |
| (c) | Find the transfer function C(s)/ R(s) for the signal flow graph in Fig. 4. | 07 | |
| Q.4 | (a) | Explain Transient and Steady state-Response of system. | 03 |
| (b) | Find Unit Step response of First order system. | 04 | |
| (c) | Derive Steady state error of type 0,1, 2 closed loop control system for unit step, ramp, and parabolic input signal. | 07 | |
| OR | |||
| (c) | Define Underdamped; Overdamped and Critically damped system. | 03 | |
| Q.5 | (a) | The response of a control system after applying unit step input is, c(t) =1+ e-40t. Determine time domain specifications. | 04 |
| (b) | For the system, G(S) = k(1+2s) / s(1+s)(1+0.4s2). Find value of k to limit the steady state error to 10% for an input t. | 07 | |
| OR | |||
| (a) | Define State Variables, State Vectors and State Space. | 03 | |
| (b) | Write needs of Frequency Domain Analysis for Control system. | 04 | |
| (c) | Determine the stability of S5+S4+2S3+2S2+3S+5=0. | 07 | |
| Q.5 | (a) | Sketch the root locus of a unity feedback control system with G(s) = 100 / s(s+1)(s+3) and determine the value of k for marginal stability. | 03 |
| (b) | Draw polar plot of G(S)H(S) = 1 / S(1+S)(1+2S) | 04 | |
| (c) | Determine the stability of the system having the open loop transfer function G(S)H(S) = 1 / S(1+S)(1+2S) by plotting Nyquist plot of the system. | 07 | |
Date: 14/12/2018
Total Marks: 70
Fig.1
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Fig.2
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