GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VII (OLD) EXAMINATION — WINTER 2018
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Subject Code: 171701 Date: 03/12/2018Subject Name: Control System Design
Time: 10:30 AM TO 01:00 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
Q.1 (a) Compare merits and demerits of Conventional control approach over modern Control approach. 07
(b) Derive the state space model for a series RLC circuit having the values of component as under: R= 10K ohm, L= 10mH, C=10 uF. 07
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Q.2 (a) Design a suitable compensator in time domain for a transfer function G(s) = (st) for specification as under.
Peak overshoot Mp <20 % , Settling time ts < 4 sec. 10
(b) Explain the design steps of Lag compensator in time domain. 04
OR
(b) Explain the dynamics of standard second order step response of the system like peak overshoot, rise time etc. 04
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Q.3 (a) Design a suitable compensator using Bode plot for unity feedback system to meet following performance specifications.
Acceleration error constant Ka=10 and Phase Margin >35.
G(s)= K / s2(0.2s+1) 10
(b) Derive the state space model from a SISO Transfer function given as under.
G(s)=1/s(s+1) 04
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OR
Q.3 (a) Explain with suitable example Contrability and observability. 07
(b) Draw the bode plot of G(s)= 5 / s(s+1)(s+4) for Kv=5 and find out gain margin and phase margin. 07
Q.4 (a) State and prove linearity and time reversal properties of z transform. 06
(b) Find out the z transform for 08
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1. Unit step2. X(n)=(cos?n) * u(n)
OR
Q.4 (a) State and prove time scaling and differentiation properties of z transform. 06
(b) Find the inverse z transform for X(Z)= Z / (1-1.5z-1+0.5z-2) 08
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Q.5 (a) Check the controllability and observability of the system given with state matrices as
A=
0 1 0
0 0 1
-2 -3 -5
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,B=0
0
1
,C=[1 0 0] 10
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(b) State and prove the properties of state transition matrix. 04Q.5 (a) Explain robust PID controller. 07
(b) Explain optimal control system. 07
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