Ferdowsi
Department of Electrical Engineering
MC87882 – Modern Control Systems
Fall 2008
Course Description :
This
course aims to introduce the state space methods in modeling and feedback
control of linear time invariant systems. The concepts induced in this
framework such as controllability, stabilize ability, observe ability and
detect ability is defined and elaborated in this course. Next the system
transformation, stability and realization and state controller and observer
design will be explained.
Instructor: Dr. Naghibi Sistani
( mbnaghibi@ferdowsi.um.ac.ir)
Room and Time:
Saturday , 16:00  17:30 pm , Room 122
Monday , 16:00  17:30 pm , Room 122
TA:
Majid Mazouchi (Majid_Mazouchi@gmail.com)
Required Text:
Linear system theory and design by chi tsong chen,
state
Fundamentals of Modern Control, Ali K. Sedigh, Tehran University Publication, 2nd edition, 2004.
Other References:
The
Essentials of linear statespace systems, J.D. Aplevich,
John Wiley & Sons, 2000.
Modern
control theory, William L. Brogan, 3rd ed.,.Englewood
Cliffs, N.J., Prentice Hall, 1991.
State
Variables for Engineers, P.M.Derusso et.al, John Wiley & Sons, 1998.
Modern
control engineering, Katsuhiko Ogata, 4th edition, NJ, Prentice Hall, 2001.
Prerequisite:
Linear Control Systems Linear Algebra
Web Page:
http://www.um.ac.ir/~mbnaghib
Course Mailing List:
(To register in the class list, send an email including your complete Name & Student No. to the above address. )
Software:
The CAE supported package MATLAB will be useful.
Exams and Quizzes :
Will be determined in class or web page .
(Quizzes and Exams will all be closed book and notes)
Grading Policy:
Quiz 15%;
Assignments + MATLAB Projects 15%;
Midterm exam 30%;
Final exam 40%.
The tentative course contents are as following.
Time: 
Teaching
Contents 
Week 1 
Introduction:
Why
Feedback, Conceptual components of feedback systems, Physical components of
Feedback systems, State definition, and state feedback. 
Week 2 
LTI
System Representation: State space representation, modeling based on physical
principles, electrical systems, electromechanical systems, mechanical
systems. 
Week 3 
LTI
System Representation: Hydraulic systems, modeling based on Lagrange equation,
mathematical linearization, modeling uncertainty. 
Week 4 
Linear
system theory: Linear system properties, solution to linear system D.E.,
zeroinput solution, zero state solution, state transition matrix. 
Week 5 
Linear
system theory: State transition matrix derivation methods: 
Week 6 
Linear
system theory: System poles and transmission zeros, diagonalization,

Week 7 
Controllability
and Observability: Observability, observability matrix, eigenvector test, controllability,
duality, Kalman cannonical decomposition. 
Week 8 
Midterm 
Week 9 
Realization
and Stability: Controllable and Observable canonical form,
realization of MISO systems, realization of SIMO systems, MIMO realizations. 
Week 10 
Realization
and Stability: Stability definitions, internal stability, BIBO
stability, Lyapunov matrix equation. 
Week 11 
State
feedback: State feedback properties, tracking objective, pole placement
methods, pole placement for MIMO systems. 
Week 12 
State
feedback: Optimal state feedback LQR, applied gain selection, diturbance rejection, State integral feedback. 
Week 13 
State
Observer: State observer general idea, full state observer, Luengerger Observer. 
Week 14 
State
Observer: Optimal state Observer LQE, Kalman
Filter. 
Week 15 
State
Observer: Optimal state Observer LQE, Kalman
Filter. 
Assignments (pdf) 
Projects (pdf) 
Exams (pdf) 




Course Documents :
Text Book: linear system theory and design by chi tsong chen, state university of new York
Matlab Primer (.pdf)
Linear Algebra Text Book: Matrix Analysis and Applied Linear Algebra
Copyright © Majid Mazouchi 