Study Programmes 2016-2017
SYST0003-1  
Linear control systems
Duration :
30h Th, 30h Pr, 6h Labo.
Number of credits :
Master in biomedical engineering (120 ECTS)5
Master in electrical engineering (120 ECTS)5
Master in electro-mechanical engineering (120 ECTS)5
Master in computer science and engineering (120 ECTS)5
Master in mechanical engineering (120 ECTS)5
Master in physical engineering (120 ECTS)5
Lecturer :
Guillaume Drion
Language(s) of instruction :
English language
Organisation and examination :
Teaching in the first semester, review in January
Units courses prerequisite and corequisite :
Prerequisite or corequisite units are presented within each program
Learning unit contents :
This course focuses on the analysis, the design and the realization of feedback controllers in the different fields of engineering. It sets the theoretical basis of control theory in the context of linear, time-invariant (LTI) systems and illustrate the benefits of the theory through the presentation of diverse applications. 
The course follows the following structure:
  • Introduction to closed-loop feedback systems and feedforward systems: everyday life examples.
  • Control system design in time domain: controllability and observability.
  • Control system analysis in frequency domain: loop transfer function, Nyquist criterion and stability of closed-loop systems, Nyquist plot.
  • Control system design in frequency domain: sensitivity function and complementary sensitivity function, robustness to load disturbances and measurement noise, "gang of four" and "gang of six".
  • Control system realization: pole placement method, relationships between time domain and frequency domain.
 
A more detailed description of the course is available on the course webpage:
http://sites.google.com/site/gdrion25/teaching/syst0003
Learning outcomes of the learning unit :
At the end of the course, the student will be able to
  • master the concepts of control and feedback.
  • determine the controllability and observability of a LTI system.
  • construct a state observer of a LTI system.
  • design a control system in the frequency domain.
  • analyze the stability of a closed-loop system from its loop transfer function (Nyquist criterion).
  • sketch the Bode and Nyquist plots of the loop transfer function, and represent the gain, phase and stability margins on the different plots. 
  • analyze the performance of a feedback system, and its robustness to load disturbances and measurment noise.
  • construct a control system from its frequency domain design.
Prerequisite knowledge and skills :
Course on modeling and analysis of linear systems (SYST0002 or equivalent). 
Planned learning activities and teaching methods :
The course is based on 12 lectures on theoretical concepts and applications and 12 project sessions .
For more informations, see the course webpage:
http://sites.google.com/site/gdrion25/teaching/syst0003
Mode of delivery (face-to-face ; distance-learning) :
Face-to-face.
Recommended or required readings :
Slides will be available on the course webpage along the year.
The course follows the textbook 'Feedback Systems: An Introduction for Scientists and Engineers', Karl J. Åström and Richard M. Murray. 
Assessment methods and criteria :
A major project during the year and a written exam (on the main concepts) at the end of the semester.
Work placement(s) :
Organizational remarks :
Detailed informations about the organisation of the course are provided on the course webpage
http://sites.google.com/site/gdrion25/teaching/syst0003
Contacts :
G. Drion (gdrion@ulg.ac.be, Bat. B28, bureau I140).