ANNOUNCEMENTS |
SUMMARY |
Description
Mathematical description and modeling of mechanical and electrical systems through
linear differential equations and in the frequency domain with the help of the Laplace
and Fourier transforms.
Prerequisites: ENGR 2170 (Electrical Circuits) or instructor's consent.
Class schedule Fall 2015:
TBD
CONTENTS |
INTRODUCTION |
This course provides you with the mathematical tools to analyze and describe systems. Notably, in the second class (Feedback Control Systems), we will then learn how to design a system, that is, modify a system that has a given, but undesirable behavior, into a system that meets specific design goals.
SYLLABUS |
Please note that this table is tenatative and will be updated as we go.
Block | Topic |
1 | Signals and Systems |
2 | Properties of Linear Systems |
3 | Description of linear systems with differential equations |
4 | Input and output signals, system response and the convolution |
5 | Transient and steady-state response |
6 | The Laplace transform |
7 | Description of linear systems in the Laplace domain |
8 | Transfer functions, characteristic equation, poles and zeros |
9 | State-variable description of linear systems |
10 | Predicting the system response in the Laplace domain |
11 | The Fourier transform |
12 | Frequency-domain analysis methods Bode diagrams and Nyquist plots |
13 | Simulation with Scilab |
14 | Scimulation with Scilab and Xcos |
15 | Presentation of the semester projects |
BOOKS |
Suggested primary book: ENGINEERING SIGNALS AND SYSTEMS. By Fawwaz T. Ulaby and Andrew E. Yagle. National Technology and Science
Press (2013). ISBN 978-1-934891-16-2.
We will focus on Chapters 1 through 5 (partially), and not use any of the later chapters.
Suggested complementary reading: LINAR FEEDBACK CONTROLS - THE ESSENTIALS. By M. Haidekker.
Elsevier Insights series (2013). ISBN: 978-0-124-05875-0
Overview
Link to publisher's web site
NEW! Link to the e-resource from our library
Out of this book, Chapters 2, 3, 5, 6, 7, and 11 are of relevance. For those of you who will take Feedback Controls
next semester, this book is highly recommended! Many examples that we use in Linear Systems are fully
described in this book.
COMPUTER LAB |
Computer lab 310 has Scilab/Scicos installed. You may login with your UGA password.
Scicos/Scilab is Free Software. You may download and install a copy free of charge and with the right to access the source code.
GRADING |
Grade | Minimum percentage | Grade | Minimum percentage | Grade | Minimum percentage |
A | 95% | A- | 90% | ||
B+ | 85% | B | 80% | B- | 75% |
C+ | 70% | C | 65% | C- | 60% |
D+ | 50% | D | 45% |
RESOURCES |
Queries by e-mail or on the blog: any time. In fact, I strongly encourage you discuss the topics on the Blog site so that everybody can benefit from the discussion.
QUIZZES AND PROJECTS |
Don't panic. Quizzes are really short problems that you solve at home. You typically get two days to solve a Quiz. Quizzes deal with a limited theoretical or conceptual aspect, and they are closely linked to the lecture material. There are no in-class quizzes or other ugly surprises.
Quiz No. | Topic | Date assigned | Date due | Grade due | Discussion thread |
Quiz 1 | Quiz 1 discussion |
The purpose of the comprehensive homeworks is to allow you to compare the theory to practical linear systems and identify how well the theory actually describes the real-world system. Comprehensive homeworks are teamwork assignments, ideally with teams of three people. Sharing the work is encouraged, but each team member should actually have an overview of the entire project. The score assigned is the same for each team member.
Assignment No. | Topic | Date assigned | Date due | Max. score | Assignment (pdf) | Discussion thread |
1 |
LINKS |
Here are some interesting links: