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LCS Model QP Set 1

This document is a question paper for the B.Tech II-II Semester Regular Examinations in Linear Control Systems, scheduled for April 2025. It includes two parts: Part A with short answer questions and Part B with detailed questions covering various topics such as feedback effects, transfer functions, stability criteria, and controller design. The paper consists of 10 questions in Part A and 5 units in Part B, with a total of 70 marks available.

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shaikmajili07
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52 views3 pages

LCS Model QP Set 1

This document is a question paper for the B.Tech II-II Semester Regular Examinations in Linear Control Systems, scheduled for April 2025. It includes two parts: Part A with short answer questions and Part B with detailed questions covering various topics such as feedback effects, transfer functions, stability criteria, and controller design. The paper consists of 10 questions in Part A and 5 units in Part B, with a total of 70 marks available.

Uploaded by

shaikmajili07
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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Sub Code: 23410404 D23 SET-I

B.Tech II-II Semester Regular Examinations, April-2025


LINEAR CONTROL SYSTEM
(Common for ECE and ECE-II)
Time: 3 hours Max Marks: 70M

Note: 1. Question paper consists of two parts (Part A and Part B)


2. Answer all sub questions from Part A
3. Answer all questions from Part B with either or choice
4. Parts of a question should be answered at the same place.
PART–A 10X2=20M
1. a). Enumerate advantages and disadvantages of open loop control 2M
system
b). Write the force balance equations for an ideal mass, dash pot 2M
and spring.
c). Explain about Mason’s gain formula. 2M
d). What are Standard test signals? 2M
e). Explain about Routh’s Stability Criterion 2M
f). How the roots of characteristic equation are related to stability? 2M
g). What is Bode plot? Draw the Bode plot of G(s)=1/(1+ST). 2M
h). State Nyquist’s stability criterion. 2M
i). What is compensation? What are the different types of 2M
compensators?
j). Define concept of Observability? 2M
PART–B 5X10=50M
UNIT-I
2. a). Explain the effect of feedback in control systems 5M
b). 5M

(OR)
3. a). 5M

b). Define Sensitivity of a control system. And explain the effect of feedback on 5M
Sensitivity.

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UNIT–II
4. a). Derive the transfer function of the following block diagram. 5M

b). A unity feedback servo-driven instrument has an open loop transfer 5M


10
function 𝐺 (𝑠) = 𝑠(𝑠+2). Find the time domain specification for a unit step
input.
(OR)
5. a). Derive the expression for response of Undamped second ordered system 5M
for unit step input.
b). 5M

UNIT-III
6. a). With the help of Routh’s stability criterion find the stability of the following 5M
system represented by the characteristic equation:
S6 + 2S5 + 8S4 + 12S3 + 20S2 + 16S + 16 = 0
b). Sketch the root locus of the system whose open loop transfer function is 5M
𝐾
𝐺 (𝑠)𝐻(𝑠) =
𝑆 (𝑆 + 2)(𝑆 + 4)
(OR)
7. a). Determine the range of K for stability of unity feedback system whose 5M
𝐾
open loop transfer function is 𝐺 (𝑠)𝐻(𝑠) = 𝑆 (𝑆+1)(𝑆+2) Using Routh’s
stability criterion.
b). Explain the procedure for constructing root locus with an example. 5M

UNIT-IV
8. a). Compare Polar and Nyquist Plots. 5M
b). Given ξ = 0.7 and ωn = 10 rad/sec. Calculate resonant peak, resonant 5M
frequency and bandwidth.
(OR)
9. a). Derive the expressions for resonant peak and resonant frequency and 5M
hence establish the correlation between time response and frequency
response.
b). Sketch the polar plot of the transfer function: 𝐺 (𝑠)𝐻 (𝑠) =
10 5M
𝑆(𝑆+1)

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UNIT-V
10. a). Explain the design of Lead-Lag Controller. 5M
b). The transfer function of a control system is given by
𝑌(𝑠) 𝑠+2
= 𝑠3+9𝑠2 +24𝑠+24. 5M
𝑈(𝑠)
Check for Controllability and Observability.
(OR)
11. a). Define state transition matrix and explain its properties with examples. 5M
b). Explain PID Controllers with necessary expressions. 5M

***End of Question Paper***

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