Coursecode:
wb2416
Coursename: Linear Matrix Inequalities in Control
DUT creditpoints: 2
ECTS creditpoints: 3 |
| Subfaculty
of Mechanical Engineering and Marine Technology |
| Lecturer(s):
Dr. C. Scherer |
Tel.: 015-2785899 |
Catalog data:
- Semi-definite programming (linear matrix
inequalities)
- Time-varying and non-linear uncertainties
- Robust stability and nominal/robust performance
analysis
- Integral quadratic constraints
- Controller synthesis
- Linear parametrically-varying systems
|
Course year: 4
Period: 0/0/0/0/4
Hours p/w: 4
Other hours:
Assessment:
Paper and computer exercises
Assessm.period(s):
(see academic calendar) |
| Prerequisites:
wb2302, wb2401, wb2415 |
| Follow
up: |
| Detailed
description of topics:Brief introduction to optimization theory
(convexity, interior point methods)
Robust stability tests for time-varying parametric
and non-linear uncertainties
Integral quadratic constraints as a general paradigm
for robustness analysis
Nominal performance analysis for various criteria
(pole-placement, H¥ , H2,
generalized H2, peak-to-peak gain)
Extension to robust performance
From analysis in terms of linear matrix inequalities
to controller synthesis: a general procedure
Design of robust controllers - state-feedback and
output-feedback control
Design of multi-objective controllers
Linear-parametrically-varying systems and the design
of linear parametrically-varying controllers
|
| Course
material: Lecture notes |
References
from literature:
S.P. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishan, Linear Matrix Inequalities in
Systems and Control Theory, SIAM Studies in Applied Mathematics 15, SIAM, Philadelphia,
1994. |
| Remarks
(specific information about assesment, entry requirements, etc.): |
Goals:
- Extension of topics in wb2415 to larger class of uncertainties and more general
performance criteria.
- Provides theoretical background for knowledgeable use of the Matlab "LMI Control
Toolbox".
|
Computer
use:
Computer exercises with Matlab "LMI Control Toolbox". |
| Laboratory
project(s): |
| Design
content: |
| Percentage
of design: |