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Subject Code: 2172007
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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VII (New) EXAMINATION — WINTER 2019
Subject Name: Modern Control Systems
Time: 10:30 AM TO 01:00 PM
Instructions:
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- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1 (a) List advantages of feedback control systems. [03]
(b) Explain (i) steady state response (ii) transient response of control systems. [04]
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(c) What is cascade compensation in control system? Why such compensations are needed? [07]Q.2 (a) Explain effect of addition of open loop zero on control systems. [03]
(b) What is compensation in control systems? Which compensation techniques are used in practice? [04]
(c) Explain design procedure to design cascade lag compensation using root locus technique. [07]
OR
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Q.2 (a) Explain design procedure to design cascade lead compensation using bode plot technique. [07]
(b) Explain angle of departure in root locus technique. [03]
(c) Explain with suitable example that how stability of a control system can be determined using root locus of a given control system. [04]
Q.3 (a) Explain various steps to design a lag compensator for a given control system using bode plot technique. [07]
(b) Explain phase margin and gain margin. [03]
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(c) Give comparison between frequency response analysis and time response analysis of control systems. [04]OR
Q.3 (a) Consider a unity feedback system with open loop transfer function
G(S) = K / s(s+2)
Draw root locus of uncompensated system and also design a lead compensator using root locus technique to meet the following specifications.
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(1) Damping ratio = 0.5(2) Damped natural frequency = 4 rad/sec [07]
Q.4 (a) Explain disadvantages of conventional control theory. [03]
(b) Explain about state space modeling. [04]
(c) Obtain transfer function from the following system.
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A = [[0, -1], [1, -3]], B = [[1], [1]], C = [1, 1]; D=0 [07]OR
Q.4 (a) Explain model matrix. [03]
(b) Explain the method to derive transfer function for a system from given state space model. [04]
(c) Derive the solution of state equation by Laplace transform technique. [07]
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Q.5 (a) Derive z-transform of sampled exponential function x(t) = e-at [03]
(b) State and prove final value theorem of the z-transform. [04]
Date: 30/11/2019
Total Marks: 70
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Q.5 (c) Explain the stability analysis using Jury's stability theorem. [07]
OR
Q.5 (a) Explain relationship between z-domain and s-domain. [03]
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(b) Explain stability determination of a control system in z-plane. [04](c) Explain pole placement design using state feedback. [07]
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