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Scilab Textbook Companion for
Linear Control Systems
by B. S. Manke 1
Created by
Ashish Kumar
B.Tech (Pursuing)
Electronics Engineering
M. N. N. I. T., Allahabad
College Teacher
Dr. Rajesh Gupta, MNNIT, Allahabad
Cross-Checked by
K Sryanarayan and Sonanya Tatikola. IIT Bombay
August 3, 2017
1 Funded
by a grant from the National Mission on Education through ICT,
http://spoken-tutorial.org/NMEICT-Intro. This Textbook Companion and Scilab
codes written in it can be downloaded from the ”Textbook Companion Project”
section at the website http://scilab.in
Book Description
Title: Linear Control Systems
Author: B. S. Manke
Publisher: Khanna Publishers
Edition: 9
Year: 2009
ISBN: 81-7409-107-6
1
Scilab numbering policy used in this document and the relation to the
above book.
Exa Example (Solved example)
Eqn Equation (Particular equation of the above book)
AP Appendix to Example(Scilab Code that is an Appednix to a particular
Example of the above book)
For example, Exa 3.51 means solved example 3.51 of this book. Sec 2.3 means
a scilab code whose theory is explained in Section 2.3 of the book.
2
Contents
List of Scilab Codes
4
1 INTRODUCTION
6
2 TRANSFER FUNCTIONS
14
3 BLOCK DIAGRAMS
17
4 SIGNAL FLOW GRAPHS
31
5 MODELLING A CONTROL SYSTEM
40
6 TIME RESPONSE ANALYSIS OF CONTROL SYSTEMS 49
7 STABILITY ANALYSIS OF CONTROL SYSTEMS
8 COMPENSATION OF CONTROL SYSTEMS
72
128
9 INTRODUCTION TO STATE SPACE ANALYSIS OF CONTROL SYSTEMS
139
11 SOLUTION OF PROBLEMS USING COMPUTER
154
12 CLASSIFIED SOLVED EXAMPLES
193
3
List of Scilab Codes
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
Exa
1.6.1.i
1.6.1.ii
1.6.1.iii
1.6.1.iv
1.6.1.v
1.6.1.vi
1.6.2
1.6.3
1.6.4
1.6.5
1.6.7