ECE/ME 2646:
Linear System Theory (3 Credits, Fall 2017)
Description: Linear spaces and operators, mathematical
descriptions of linear systems, controllability and observability, irreducible
realization of rational transfer-function matrices, canonical forms, state
feedback and state estimators, and stability.
Prerequisite: Knowledge of linear algebra, differential equations,
and feedback control systems (e.g. ECE 1673).
Time and Place: Tuesday 5:20pm−7:50pm, G36 Benedum Hall.
Instructor: Dr. Zhi-Hong Mao, (office) 1204 Benedum Hall, (phone)
412-624-9674, (email) maozh@engr.pitt.edu,
(office hours) Monday 3:30 pm−5:30 pm.
Text: Chi-Tsong Chen, Linear System Theory and Design, 4th
Edition, Oxford University Press, Oxford, UK, 2013.
Course Evaluation: Homework 25%, class participation 10%, midterm exam
25%, and final exam 40%.
Information for Remote
Students: https://www.dropbox.com/s/716t8xoxwlm0vo1/DistanceLearningInstructions.pdf?dl=0
Tentative schedule for
lectures:
|
Date |
Topic |
|
|
August 29 |
Lecture 1: Course organization
and introduction; review of classical control. [Slides];
[Class
notes] |
Chapter 1 |
|
September 5 |
Lecture 2: Mathematical
description of systems. [Slides];
[Class
notes] |
Sections 2.1-2.3 and Lecture
2 from ECE 1673 |
|
September 12 |
Lecture 3: Rational
transfer functions and state-space equations; linearization. [Slides];
[Class
notes] |
Sections 2.3, 2.4, and
3.1-3.4 |
|
September 19 |
Lecture 4: Review of linear
algebra. [Slides];
[Class
notes] |
Sections 3.5 (not including
Jordan form), 3.6, 4.1, and 4.2 (not including discretization) |
|
September 26 |
Lecture 5: State-space
solutions and realizations. [Slides];
[Class
notes] |
Sections 4.4 and 4.5 in the
4th Ed (4.3 and 4.4 in the 3rd Ed) |
|
October 3 |
Lecture 6: State-space
realizations and stability. [Slides];
[Class
notes] |
Sections 5.1, 5.2, and 5.4
in the 4th Ed (5.1-5.3 in the 3rd Ed, not including
discrete-time cases) |
|
October 10 |
No class (due to Fall
Break) |
|
|
October 17 |
Midterm |
|
|
October 24 |
Lecture 7: Controllability.
[Slides];
[Class
notes] |
Sections 6.1 and 6.2 |
|
October 31 |
Lecture 8: Observability;
canonical decomposition. [Slides];
[Class
notes] |
Sections 6.3 and 6.4 |
|
November 7 |
Lecture 9: Coprimeness;
minimal realizations of transfer functions. [Slides];
[Class
notes] |
Sections 7.1 and 7.2 |
|
|
|
|
|
November 14 |
Lecture 10: Minimal
realizations of transfer matrices; pole placement. [Slides];
[Class
notes] |
Sections 7.6 and 7.7 |
|
November 21 |
Lecture 11: State feedback.
[Slides];
[Class
notes] |
Sections 8.1, 8.2, and 8.3
(not including 8.3.1 and 8.3.2) |
|
November 28 |
Lecture 12: State
estimator. [Slides];
[Class
notes] |
Sections 8.4 and 8.5 |
|
December 5 |
Lecture 13: Course review.
[Slides];
[Class
notes] |
|
|
December 12 |
Final exam |
|