Linear Systems Theory

LINEAR SYSTEMS THEORY

ME 3253

Prof. Nejat Olgac

UTEB 380 (6 2382) Office hrs: M,W 1-2 pm

Web page for the course : http://www.engr.uconn.edu/alarm/me253

TA: Ayhan Sebastian Bayirli

Office hrs: TBD EII 315

Textbook: Katsuhiko Ogata System Dynamics (Fourth Edition)

Prentice Hall, 2004 ISBN 0-13-142462-9

Syllabus

¨  Introduction and review/overview 1 wk

¨  MATLAB/SIMULINK introduction 1 wk

¨  Laplace domain representation of dynamic systems (Chapter 2) 3 wks

¨  Mathematical modeling of dynamic systems (Chapters 3, 4,6 and 7) 3 wks

a)   Differential equations representing systems, transfer function

b)   Linearization of nonlinear functions

c)   Modeling of

o  mechanical systems

o  electrical systems

o  fluid and thermal systems

¨  Time domain analysis of systems (Chapter 8) 4 wks

a)  Block diagram

b)  Stability

c)  Root locus

¨  Frequency response of systems (i.e., the frequency domain analysis) (Chapter 9)

a)  Magnitude and phase concepts

b)  Bode and Nyquist plots 2 wks

GRADING

1)   HW's – Project (s) 30 %

Midterm...... 30 %

Final...... 40 %

2)   There will be about 6 HW assignments.

All HWs must be delivered on the due date. The solutions to the HWs will be posted on the website soon after. Only a selected number of the HWs will be corrected and the grade will be established by extrapolation. Due dates of HWs will be strictly enforced.

Official syllabus is found at : http://www.engr.uconn.edu/me/cms/images/prod/pdf/me3253linearsystemstheory.pdf

Please NOTE:

1.  All communication related to this course will be through the website. Please visit it frequently.

2.  Class attendance is strongly advised but not compulsory.

3.  You will need a close affinity with simulation and modeling software (MATLAB and SIMULINK) as well as symbolic manipulation packages (such as MAPLE or others you may have). They are available in the ENG II network. You can also purchase the student versions of these software which will be sufficient for this course.