MAE270A: Linear Systems

This is the website for the UCI course MAE 270A “Linear Systems".

Material covered

Input-output and state-space representations of continuous-time linear systems; State transition matrices for LTV and LTI systems; Controllability and Reachability, Observability and Detectability; Irreducible realizations; State feedback and observer design; Regulator and Tracking controller design

Instructor

Professor Solmaz S. Kia
Department of Mechanical and Aerospace Engineering
Email: solmaz-at-uci.edu
Website: http://solmaz.eng.uci.edu

Prerequisite

MAE 200A (corequisite); Familiarity with Matlab is essential to do HWs.

Textbook

The lectures are based on the following references, with bulk of material from [1] and [2]. Some of the HWs are going to be assigned from 3rd ed. of [2] whose e-version is available on UCI library website http://app.knovel.com/web/toc.v/cid:kpLSTDE003

[1] Joao P. Hespanha. Linear Systems Theory, 2009

[2] C.T. Chen. Linear System Theory and Design, 4th edition. You can also use the third version whose e-version is available in UCI library.

[3] Franklin and Powell. Feedback Control

Other recommended books with relevant on the subject are

[4] R.A. Williams and D.A. Lawrence. Linear State Space Control Systems.

[5] K.J. Astrom and R.M. Murray. Feedback Systems. E-version available at http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page

Lecture time and Place

Lectures take place at Engineering Lecture Hall - ELH 110, Mondays from 11:00am - 1:50pm.

Office hour

Instructor: Thursdays, from 11:00am to 12:00pm, at EG4320 room. Please, send me email through Canvas email describing the problem before coming to ofce hours. Be prepared to show attempts at solving the problem. If you have any questions about the course, please send me email via Canvas. I will try to respond as quickly as possible. Additionally, I will share questions that are particularly good (and their answers) with the rest of the class by broadcasting my answer to the entire class by email.

Exam

Midterm (tentative date): TBA
Final: as announced in the class schedules, in class Homework

Homework

There will be a set of homework problems per week posted in the class website. Homework assignments are due weekly (special dates for your reference are included in the webpage. You need to return your homework to the designated folder (in pdf format). You need to complete all exercises (points will be taken for incomplete work), although only one, randomly selected, will be corrected from each assignment.
NO LATE homework will be accepted.

Grading

Homework: 20%
Midterm: 30%
Final: 50%
In exceptional cases, I reserve the right to give extra points for excellent performance on the midterm, final and active class participation. Please do not count on it as a way to avoid doing the other assignments.

Canvas

Your grades will be posted via Canvas.

Academic Integrity Policy

No form of academic dishonesty will be tolerated. Academic misconduct, in its most basic form, is gaining or attempting to gain a grade, degree, or other academic accomplishment by any means other than through your own work. The formal policy states, "No student shall engage in any activity that involves attempting to receive a grade by means other than honest effort, and shall not aid another student who is attempting to do so." All academic integrity cases will be processed through the Office of Student Conduct under the Academic Honesty Policy. Please see Academic Integrity Policy (https://aisc.uci.edu/students/academic-integrity/) more information.