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Control Systems Exam Paper

This document contains a sample exam for a control systems course. It includes 5 questions assessing various control systems concepts. Question 1 covers feedback, transfer functions, types of control systems and open vs closed loop systems. Question 2 covers transfer function properties, block diagrams, analogies and obtaining a transfer function from a diagram. Question 3 covers frequency response, test signals, and deriving a closed loop transfer function. Question 4 covers stability measures like gain and phase margin and applying concepts like Routh-Hurwitz and root locus. Question 5 covers expressions for rise time, peak time, state space and Nyquist stability criteria. Diagrams and equations are included for reference.

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114 views2 pages

Control Systems Exam Paper

This document contains a sample exam for a control systems course. It includes 5 questions assessing various control systems concepts. Question 1 covers feedback, transfer functions, types of control systems and open vs closed loop systems. Question 2 covers transfer function properties, block diagrams, analogies and obtaining a transfer function from a diagram. Question 3 covers frequency response, test signals, and deriving a closed loop transfer function. Question 4 covers stability measures like gain and phase margin and applying concepts like Routh-Hurwitz and root locus. Question 5 covers expressions for rise time, peak time, state space and Nyquist stability criteria. Diagrams and equations are included for reference.

Uploaded by

Nalla
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Seat No.: ________ Enrolment No.

___________

GUJARAT TECHNOLOGICAL UNIVERSITY


BE - SEMESTER– III (NEW) EXAMINATION – SUMMER 2022
Subject Code:3131101 Date:13-07-2022
Subject Name:Control Systems
Time:02:30 PM TO 05:00 PM Total Marks:70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Simple and non-programmable scientific calculators are allowed.

MARKS
Q.1 (a) What is feedback? Explain the effect of feedback. 03
(b) Define: Transfer function, Self loop, Steady-state error 04
(c) What is control system? What are the different types of control systems? Compare open- 07
loop and closed-loop control system.

Q.2 (a) List properties of the Transfer Function. 03


(b) Compare Block diagram and Signal flow graph methods. 04
(c) What is an analogous system? Establish force-current and force-voltage analogy. 07
OR
(c) Obtain Transfer function of the mechanical system shown in figure 1. 07

Figure 1.

Q.3 (a) Explain: Frequency response, Root locus, Centroid. 03


(b) Discuss standard Test signals used in control system. 04
(c) Derive the closed loop transfer function using block diagram reduction technique for the 07
figure 2.

Figure 2.

OR

Q.3 (a) Discuss Hurwitz’s stability criteria. 03


(b) Define: (1) Delay time (2) Rise time (3) Peak time (4) Settling time 04
1
(c) Obtain the transfer function C/R of the block diagram shown in figure 3. Using Mason’s 07
gain formula.

Figure 3.

Q.4 (a) Explain: Gain margin, Phase margin, Polar plot. 03


(b) Apply Routh-Hurwitz criterian to determine stability of a control system whose open-loop 04
transfer function is given below.

5
G(s)H(s) =
s(s2 + 2Ks + K + 4)
(c) For the given type-2 system, find root locus and comment on stability. 07
K
G(s) = 2
(s )(s + 2)

OR

Q.4 (a) Explain: State, State variable, state trajectory. 03


(b) Write short note on PID controller. 04
(c) For the given type-2 system, Draw the polar plot. 07
40
G(s) = 2
(s )(s + 4)

Q.5 (a) Derive an expression for the rise time for a 2nd order control system subjected to a unit 03
step input.
(b) Derive the expression for peak time Tp for a second order control system subjected to a 04
unit step input.
(c) State and explain nyquist stability criteria. 07
OR

Q.5 (a) Derive Correlation Between Transfer Functions and State-Space Equations. 03
(b) List Advantages of State variable analysis. 04
(c) For the given open-loop unstable system with transfer function 07
s+2
G(s)H(s) = 2
(s − 1)
Draw Nyquist contour and plot.

*************

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