5 ECTS credits
145 h study time
Offer 1 with catalog number 1004219BNR for all students in the 1st and 2nd semester
at
a (B) Bachelor  advanced level.
 Semester
 1st and 2nd semester
 Enrollment based on exam contract
 Impossible
 Grading method
 Grading (scale from 0 to 20)
 Can retake in second session
 Yes
 Enrollment Requirements
 Om te kunnen inschrijven voor Systeem en controletheorie moet men geslaagd zijn voor Lineaire algebra: stelsels, matrices en afbeeldingen en ingeschreven of geslaagd zijn voor Complexe analyse: residurekening en integraaltransformaties, het technologieproject Werktuigkunde en Elektrotechniek en voor 1 van de 3 overige technologieprojecten.
 Taught in
 Dutch
 Faculty
 Faculteit Ingenieurswetenschappen
 Department
 Electricity
 Educational team
 Yves Rolain
(course titular)
John Lataire
 Activities and contact hours
 42 contact hours Lecture
16 contact hours Seminar, Exercises or Practicals
 Course Content
The course consists of two parts.
 Part 1: Introduction to system theory. Describing the behaviour of linear dynamic systems (continuous time, discrete time) in the time domain and in the frequency domain. It is also shown how these descriptions can be combined with information from measurements (sampling, discrete Fourier transform, reconstruction).
 Part 2: Introduction to control theory considers the analysis (calculus with block diagrams, statespace equations, time response, frequency response, root locus, Nyquis diagram, Bode plot) and design of feedback controllers (state feedback controllers, compensation regulators such as PD, lead, PI, lag, and PID). The concepts introduced in this course are illustrated on a number of practical examples. The course ends with an introduction to digital and nonlinear control.
 Course material
 Course text (Required) : System and control theory. Signal and systems, Systeemtheorie, Rolain, VUB, 2220170019994, 2023
Course text (Required) : Systeem en controletheorie, Deel II: controletheorie, Lataire, VUB, 2220170010281, 2023
 Additional info
This course is not taught in English!
The course notes are made available in Canvas and printed at the Standaard student shop:
 System theory (Inleiding tot de systeemtheorie)
 Controletheorie
Literature is mentioned and available at the library of the university.
 Learning Outcomes

General competencies
General Aims and objectives
Understanding the behaviour of linear dynamic systems and verify this insight by experiments.
Knowing the basic aspects of control theory
Exam requirements
 System theory
 The student understands the behaviour of linear dynamic systems and can describe it in the continuous and discrete time
 The student masters the relationship between the time and the frequency domain
 The student understands the sampling process and is able to use the discrete Fourier transforms
 Control theory
 The student understands the basic components of a feed forward and feedback controller and knows their pros and cons.
 The student can simplify block diagrams.
 De student kan bode diagrams en Nyquist diagrams interpreteren en aan de hand ervan de stabiliteit van de gesloten lus regelkring voorspellen.
 The student can interprete Bode diagrams and Nyquist diagrams and use them to predict the stability of the closed loop controller
 The student can calculate the static error on the step response of a feedback controller and knows how the error can be set to zero
 The student can draw the root locus and knows how to interprete it for the design of PID controllers.
 The student understands the pros and cons of the proportional, the derivative and the integral action of a PID controller and how these actions contribute to the control performance and disturbance rejection.
 The student can design a PID controller conceptually.
 The student understands the concepts observability and controllability of statespace models and can determine if they are satisfied for a given system.
 The student can design an observer for a given statespace model.
 Grading

The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.
Within the Other Exam category, the following assignments need to be completed:
 Mond. examen incl. lab & oef
with a relative weight of 1
which comprises 100% of the final mark.
Note: Het examen over het deel systeemtheorie + bijhorende oefeningen wordt afgenomen in de zittijd van het 1e semester.
 Additional info regarding evaluation
 Oral exam, closed book,
 Emphasis on understanding, reproducing is not enough.
Oral exam System theory  1/3 
Oral exam Control theory  1/3 
Oral exam Labo+exercises  1/3 
Remark: 1/3 of the score on the part Labo+exercises can be set by evaluations during the sessions.
The exam on the part system theory and corresponding exercises are taken in the 1st semester session, the part on control theory and corresponding labo's are taken in the 2nd semester session.
Important note: absence at one or more parts of the exam results in an "absence" evaluation of the whole course.
 Allowed unsatisfactory mark
 The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.
Academic context
This offer is part of the following study plans:
Bachelor of Engineering: Mechanical and Electrotechnical Engineering (only offered in Dutch)
Bachelor of Engineering: verkort traject werktuigkundeelektrotechniek na vooropleiding industriĆ«le wetenschappen (only offered in Dutch)
Bachelor of Engineering: verkort traject werktuigkundeelektrotechniek na vooropleiding fysica (only offered in Dutch)
Master of Teaching in Science and Technology: ingenieurswetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)
Preparatory Programme Master of Science in Electromechanical Engineering: Standaard traject (only offered in Dutch)