University of Liege | Version française
Academic year 2014-2015Value date : 12/05/2015
SYST0003-1  Linear control systems

Duration :  30h Th, 30h Pr
Number of credits :  
Master in Biomedical Engineering, research focus, 1st year5
Master in Electrical Engineering, research focus, 1st year5
Master in Electro-mechanical Engineering, research focus, 1st year5
Master in Mechanical Engineering, research focus, 1st year5
Master in Engineering Physics, research focus, 1st year5
Master in Engineering Physics, research focus, 2nd year5
Master in in Electrical Engineering, professional focus in sustainable car technologies, 1st year5
Master in Electrical Engineering, specialized approach, 1st year5
Master in Electro-mechanical Engineering, professional focus in sustainable car technologies, 1st year5
Master in Electro-mechanical Engineering, Professional Focus (Management), 1st year5
Master in Mechanical Engineering, professional focus in sustainable car technologies, 1st year5
Master in Mechanical Engineering, specialized approach, 1st year5
Master in Engineering Physics, specialized approach, 1st year5
Master in Engineering Physics, specialized approach, 2nd year5
Lecturer :  Rodolphe Sepulchre
Substitute(s) :  Raphaël Fonteneau
Language(s) of instruction :  
English language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
Maintaining a system in a specific operating condition is a common task, both in technical applications as well as in the life sciences. Examples are of such control applications are autopilots, Electronic Stability Control, homeostasis, temperature control in a room (thermostat) or in the human body (thermoregulation) ...
A brief overview of the content of this course:
  • Modelling and control of linear feedback control systems
  • Open-loop and closed-loop concepts
  • Advantages and drawbacks of feedback control
  • Analysis and synthesis of state-space models: controllability and observability
  • Separation principle
  • Frequency methods for loop analysis (Bode, Nyquist, loop-shaping, sensitivity functions, performance limitations)
  • PID and lead-lag control
  • State observer
  • Static and dynamic state feedback
  • Robustness and performance
Learning outcomes of the course :  
At the end of this course, the student will master basic concepts of feedback control theory. He or she will be able to model feedback systems and to use synthesis and analysis methods on feedback systems in both frequency and state space domains.
This course is taught in English, with support material available in English.
Prerequisites and co-requisites/ Recommended optional programme components :  
Prerequisites: SYST002 or equivalent linear systems course. This concerns in particular the chapters 4, 5 and 8 of the book Feedback Systems by Karl J. Åström and Richard M. Murray.
Understanding documents written in English is necessary (level B2 or LANG0038-1 Anglais). Oral understanding of English is advantageous for the lectures.
Planned learning activities and teaching methods :  
The course is based on ex-cathedra lectures, interactive exercise sessions and 2 laboratory sessions. The exercises contain in part questions that require the use of a computer with Matlab or equivalent software.
Participation in the 2 laboratory session is mandatory.
This course is taught in English.
Mode of delivery (face-to-face ; distance-learning) :  
Face-to-face
Recommended or required readings :  
The course follows the book Feedback Systems by Karl J. Åström and Richard M. Murray, Princeton University Press 2008, ISBN: 9780691135762, freely available on the page http://www.cds.caltech.edu/~murray/amwiki/index.php/Main_Page
Slides used during the course will be posted on the following webpage: https://sites.google.com/site/raphaelfonteneau/syst003
Assessment methods and criteria :  
100 % final exam including knwoledge about theory, exercises sessions and labs.
The participation in the laboratories is required for access to the final exam.
In the first exam session, the final exam is a written one. Any paper book, written document and notes can be used, but not electronic aides. The questions open-ended and available in English only.
The written exam does not contain theoretical questions, nor should sentences be copied from the written notes. Reasoning or explications of concepts are however included. Solving exercises demands the mastering of theoretical concepts and results. In particular, theoretical justifications may be asked. The exams do not contain questions on the usage of computers.
Work placement(s) :  
Organizational remarks :  
The course is organised in the first quadrimestre, usually during one afternoon a week. The two hours ex-cathedra are followed by two hours exercise sessions, partly with optional questions requiring Matlab or a similar software.
The scheduling of the 2 lab sessions will be organized during the first week of the quadrimester.
Contacts :  
R. Fonteneau, Institut Montefiore, B28, R.108 Tél: +32 (0)4 366 - 26 61
raphael.fonteneau (at) ulg.ac.be



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