DADI INSTITUTE OF ENGINEERING AND TECHNOLOGY
(Approved by A.I.C.T.E., New Delhi & Permanently Affiliated to JNTUK, Kakinada)
An ISO 9001:2008, ISO 14001:2004 & OHSAS 18001:2007 Certified Institute.
NH-16, Anakapalle – 531002, Visakhapatnam, A.P.
www.diet.edu.in, E-mail: info@diet.edu.in
Department of ECE
Subject: Linear Control Systems
Department: ECE
Faculty Name: Dr J BABU
Regulations : R20
Class &Branch: II B.Tech II Sem ECE
Academic Year: 2021-2022
Designation: Professor
Course Code:
QUESTION BANK
S.No
1
Question
Explain about the Procedure to obtain the Analogous Electrical system from a Mechanical System
2
Draw the Equivalent Mechanical system for the given system. Extract the Analogous Electrical
system
3
Explain about the Procedure to obtain the Analogous Electrical system from a Mechanical System
4
Extract the Transfer function of a Control system with the following Block Diagram
5
Summarize the Time domain specifications of second order Control system with unit step
input. Mention the necessary relations
6
Extract the Transfer function of a Control system with the following Signal flow graph
7
The forward path transfer function of a certain unity feedback control system is
𝐾
𝐺(𝑠) = 𝑆(𝑆+4)(𝑆2 +𝑆+1). Discover the range of K for which the system is stable.
8
Find the stability of the control system with the following characteristic equation using
Routh stability criterion.
S6+2S5+8S4+12S3+20S2+16S+16=0
9
Discover the stability of the control system with the following characteristic equation using
Routh stability criterion S4+8S3+18S2+16S+5=0
Summarize the Procedure to Sketch the Root Locus
𝐾
For transfer function 𝐺(𝑠) = 𝑆(𝑆+4)(𝑆2 +4𝑆+20) Sketch the Root Locus
10
11
𝐾
12
For transfer function 𝐺(𝑠) = 𝑆(𝑆+1)(𝑆+2)(𝑆+3) Sketch the Root Locus
13
For transfer function 𝐺(𝑠) = 𝑆(𝑆+2)(𝑆+20) Sketch the Polar Plot
14
For transfer function 𝐺(𝑠) = 𝑆(1+0.2𝑆)(1+0.05𝑆) Discover the value of K for a Gain Margin
15
of 20 dB
𝐾
For transfer function 𝐺(𝑠) = 𝑆(1+0.2𝑆)(1+0.05𝑆) Discover the value of K for a Phase Margin
16
80
𝐾
of 400 (40 degrees).
Discover the state transition matrix for the State model of a control system is
𝑋̇
1
[ 1] = [
̇
1
𝑋2
0 𝑋1
1
][ ] + [ ]𝑈
𝑋
1
1
2
Where U(t) is unit step occurring at t=0.
17
Illustrate the Lead Compensator Design procedure
18
Illustrate the procedure to obtain the state transition matrix Ф(t) of the system. Elaborate its
Properties