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GUJARAPTEONROKOSIC AL firstranker.com
BE - SEMESTER- IV(NEW) — EXAMINATION - SUMMER 2019
Subject Code: 2140307 Date:28/05/2019
Subject Name: Control System and Analysis
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Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| MARKS | |
|---|---|
| What are standard Test Signals and their Significance? | 03 |
| Explain Liquid Level - Electrical system Analogy. | 04 |
| Explain Open loop and Closed loop control system with examples. | 07 |
| What is Linear time invariant control system? | 03 |
| Derive Unit Step response of First order system. | 04 |
| Find system equations and F-I and F-V analogous circuits for mechanical system shown in Fig.1. | 07 |
| Fig.1. OR Draw the mechanical network. Write differential equations of performance and also draw the analogous electrical circuit of the system shown below in Fig.2. | 07 |
| Fig.2. | |
| What are the essential characteristics of Signal Flow Graphs? | 03 |
| Find the inverse Laplace transform of F(s) = 42 / s(s+3)(s+4) | 04 |
| Using Block diagram reduction techniques, find the closed loop transfer functions of the following system shown in Fig.3. | 07 |
| Fig.3. |
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| (a) Define stability. Describe types of system. | 03 |
| (b) The impulse response of a system is 1 — e -2t. Find the transfer function. | 04 |
| (c) Find the transfer function C(s)/ R(s) for the signal flow graph shown in Fig. 4. | 07 |
| Fig4. | |
| Define: Rise time, Settling time, Delay time. | 03 |
| For a unity feedback system the OLTF is G(S) = 1 / (s+1) What is the steady state error if the input r(t) = (2+3t+4t2) u(t). | 04 |
| The open loop transfer function of a unity feedback control system is given by, G(S) = 1 / S(S+5). Determine time domain specifications. | 07 |
| OR | |
| Write advantages and disadvantages of Routh's Stability Criterion? | 03 |
| Test the stability of a system whose characteristics equation is, S4+5S3+6S+30 = 0. | 04 |
| The open loop transfer function of a unity feedback control system is given by, G(S) = 10 / (S+1)(S+10) a) Find Kp, Kv, Ka b) Find the steady state error for an input of 5u(t), 5tu(t), 5tu2(t). | 07 |
| What is the effect of addition of poles on Root locus? | 03 |
| G(s)H(S) = 1 / (s+1). Decide the stability using Nyquist plot. | 04 |
| Sketch the Root locus of a unity feedback control system with G(s) = k / s(s+3)(s+5) and determine the value of k for marginal stability. | 07 |
| OR | |
| Write the State model of nth order of system. | 03 |
| Draw polar plot of G(S)H(S) = 1 / (S+3)(5+8) | 04 |
| Draw the asymptotic Bode plots for the feedback control system having transfer function G (S)H(S) = k / s(s+3)(s+50). Determine the value of k for Gain margin = 20dB and Phase margin 30°. | 07 |
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