2017-2018 / SYST0003-1

Linear control systems

Duration

30h Th, 30h Pr, 6h Labo.

Number of credits

 Master in biomedical engineering (120 ECTS)5 crédits 
 Master in electrical engineering (120 ECTS)5 crédits 
 Master in electro-mechanical engineering (120 ECTS)5 crédits 
 Master of science in computer science and engineering (120 ECTS)5 crédits 
 Master in mechanical engineering (120 ECTS)5 crédits 
 Master in physical engineering (120 ECTS)5 crédits 

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.

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).