ECE 334 STATE SPACE SYSTEMS ANALYSIS
SPRING 2007
HOMEWORK
FINAL
EXAM is in ROOM 2534 Engineering Hall
on SUNDAY MAY 13 from 2:45-4:45 PM
The final will have the same format as the midterm.
The final will be a closed book exam largely based on the homeworks
5,6,7, 8.
It is recommended that students study with the following priorities:
(1)
Mastering the homework questions so that similar questions can be
answered
(very important). (2) studying the lecture notes (3) other sources of
information.
Students should make sure that they are receiving the email messages
broadcast to the class. If you are not receiving this email, then use
EASI (http://www.wisc.edu/EASI) to correct your email address
information.
Course Policy and Administration
- ECE332 is not needed as a prerequisite. The prerequisites
are Math 320 or Math 340 (concurrent registration is OK).
- Instructor: Professor Ian Dobson,
2564 Engineering Hall
- If you have questions or comments for Ian: dobson@engr.wisc.edu
- Office hours: Wednesday 1:30pm-3:30pm or by appointment in
afternoons. In addition, I am
usually available just after class. e-mail is usually effective for
short
questions and most administrative matters. I am never available before
class because I need to prepare for
the class lecture. Please see
Ian in person if you are having ANY difficulties with the course (do
NOT
wait until just before the exams).
- Homework : There will
be regular homework which is the
most important
part of learning in the course. The exams will be mostly based
on the
homework questions. Students are
encouraged
to work together to solve the homework problems. However, each student
must
hand in their own work. Students are expected to attempt all homework
problems
and hand their efforts in. Homework solutions will not be
systematically published, but help is available from the professor.
Students are responsible for creating their own portfolio of homework
solutions that they can use to study for the exams. One aspect is
that students should work to understand homework well enough that they
are confident that their solutions are correct. Please note that being
able to confirm by yourself that your solution to an engineering
problem is correct is an essential skill in industry. Success in
the course correlates well with consistent and thoughtful effort on the
homeworks throughout the course.
- Exams : The exams will
be closed book written exams
intended to assess whether students have mastered the material in the
homeworks and the course. There will be a midterm and a final.
The
midterm will be held at a time most suitable for most students and will
most likely be held during class time. The final is at time
and date.
Send email or drop by to Ian in the first two weeks of class if there
is
ANY chance of religious or other conflicts with these exam times. Exams
are designed for the purpose of assessment only and exam papers will
not be handed back to students. That is, learning is the focus of the
course and the homeworks, but learning is not an objective for the
exams. Students may choose to look at their midterm papers for a
limited period after the exam by coming to professor office
hours.
- Grading: The grade for the class will be based on
performance in the exams (midterm ~35%, final ~35%) and overall effort
and attainment on the homework (30%). The grades will NOT be
curved. For the exams I will set standards for the main changes in
letter grade before grading the exams. One intention of this
grading scheme is
that students compete against my standards in the course instead of
against each other. I want to encourage students to work together and
learn from each other. Each homework will receive a grade of alpha,
beta, gamma or zero reflecting overall effort and attainment.
Individual questions do not receive a separate grade, but feedback on
the homework papers may be given to the extent feasible according to
the grader time
and resources made available for this by the ECE department.
- Attendance: Students who miss a class are expected to
obtain the class notes from another student.
- Computing: Matlab will be used for some homework problems.
- Religous or other conflicts
with class activities: Send email or a note to Ian or drop by
his office in the first two weeks of
class if there is ANY chance of religious or other conflicts
with any class activities that may be scheduled during the semester
including any class time and the scheduled final exam. Please
specify the days or dates on which there is a potential or actual
conflict.
- Ethics : The highest standards apply. In particular,
instructions must be followed meticulously during exams to ensure equal
conditions for all students.
- Text : Fundamentals of Linear State Space Systems, John
S. Bay:
WCB-McGraw-Hill 1999 ISBN 0-256-24639-4 (out of print but there
are second hand copies on internet)
OR
McGraw Hill Primis 2007 ISBN 0390-61734-2 (this reprints the same book)
bookstore or www.primisonline.com.
- Link to ECE334
timetable
or college ECE334 web page
Expected Course Topics
This list of topics approximates the likely course contents. Other
topics may be added.
- Review of differential equations and linearization
- Review of vector spaces: vectors, independence, subspaces, maps
(matrices), kernel, range, bases and coordinate changes
- Eigenvectors, eigenvalues, characteristic equation
- Diagonalization and semisimple matrices
- Engineering interpretation: modes
- Eigenvalues=poles in frequency domain
- Norms, matrix exponential
- Linear differential equation and its solution
- Exponential of a semisimple matrix
- Complex eigenspaces and oscillations
- Cayley-Hamilton
- Controllability
- Observability
- Realizations
- BIBO stability
- Lyapunov and asymptotic stability
- Controllable canonical form
- State feedback and pole placement
- Stabilization
- Observers
- Output feedback and the separation principle
Matlab files to plot 2D linear vector fields, trajectories and time
histories:
More Matlab files with
GUIs that you can try.
Related Courses
The hands-on lab ECE409
Feedback Control Laboratory complementing material in ECE334
and other control courses is highly recommended.
The frequency domain control course ECE332 is
complementary to ECE334. ECE332 is independent of ECE334 and is not a
prerequisite for ECE334.
Most modern control systems incorporate digital as well as analog
components. Learn about this in ECE417
Discrete control
For the big picture and more info see
ECE
Undergraduate Curriculum in Control or ECE
Graduate
Curriculum in Control
last updated May 1, 2007