## Fall 2015: EE-105 Feedback Control Systems

Lectures and Supporting material
Homework and Solution

Schedule
Monday and Wednesday, 3:00pm - 4:15pm, Halligan 108

No classes
(Veterans' Day) November 11, 2015, Substitute lecture on November 10, 2015 (Tuesday)
(Thanksgiving) November 25, 2015

Instructor
Prof. Usman Khan
135 Halligan
Email: khan AT ece DOT tufts DOT edu
Office hours: Mon 4:30pm-5:30pm and Tuesday 11:30am-1:30pm
Course web: http://www.eecs.tufts.edu/~khan/Courses/Fall2015/EE105/ee105_fall2015.html

Teaching Assistant
Sam Safavi
Office hours: Tuesday 11am-1pm, Halligan 137

Textbook
Modern Control Engineering, Ogata, 5th Edition, Prentice Hall, 2010.

Feedback Control of Dynamic Systems, by Franklin, Powell, and Emami-Naieni, 6th Ed., Prentice Hall, 2009.
Modern Control Systems, Dorf and Bishop, 9th Ed., Prentice Hall, 2011.
Matrix theory resources
Matrix Computations, Golub and Van Loan, The Johns Hopkins University Press.
Introduction to Linear Algebra, Gilbert Strang, 4th Ed., Wellesley-Cambridge Press, 2009.
Linear Algebra and its Applications, Gilbert Strang, 4th Ed., Cengage, 2006.

Course outline
Selected topics from Chapters 1-3 and 5-10 in the textbook.
We will cover the basics of analysis and design in feedback control systems. After covering some review material on matrix theory, I will focus on modeling of dynamical systems, ranging from electrical, mechanical, and chemical systems; LTI systems, in general. We will then move to stability analysis using the state-space methods, root-locus, and frequency-response. The course will emphasize on state-space theory.
If time permits, I would like to introduce some advanced concepts, namely, structured control, genericity properties, and LMI (Linear Matrix Inequalities) formulations.
I would assume a sound understanding of 'Linear Algebra' and 'Signal and Systems'. If concepts like vector spaces, LTI systems, convolution, Laplace, Fourier, and z transforms are unfamiliar, you may like to consider talking to me in advance.

Course structure
Weekly Homework** (25%)
Midterm exam 1 (20%): Wednesday, October 07, in class
Midterm exam 2 (20%): Wednesday, November 10, in class
Final exam (35%): Friday, December 18, 12p-2p

Miscellaneous
Reading, Welcome to Feedback Universe , Michael S. Malone, Forbes Magazine, Oct. 2002.
Reading, For Spy in the Sky, New Eyes, Ian Austen, New York Times, Jun. 2001.
Reading, State-space vs transfer function approach, Christian Schmid, Course on Dynamics of multidisplicinary and controlled Systems.
Reading, Control Theory: History, Mathematical Achievements and Perspectives, E. Fernandez-Cara and E. Zuazua.
Reading, Modern Control Theory--A historical perspective, Neculai Andrei.

**Late Homework Policy: No late homework will be accepted.
HW has to be handed in class on the day it is due
DO NOT put the solution in my or the TAs mailbox

Electrical and Computer Engineering
School of Engineering
Tufts University