Teacher(s)
Language
English
> French-friendly
> French-friendly
Prerequisites
Basic undergraduate background in mathematics and notions of signals and systems (e.g., as taught in LEPL1106).
Main themes
This course provides a comprehensive introduction to the modeling, analysis, and design of linear control systems. It begins by presenting techniques for modeling physical systems using differential equations and transfer functions, with examples drawn from robotics, mechanical, electrical, biological, and biomedical engineering. The course then explores methods for analyzing these models, focusing on key system properties such as stability, steady-state errors, disturbance rejection, and the role of feedback in ensuring robustness.
One part of the course is devoted to classical control design techniques using frequency-domain tools — such as PID tuning and frequency-domain methods — as well as robustness analysis. Another part focuses on system analysis and control synthesis using state-space methods, offering a modern framework that supports the study and design of controllers via state feedback. Particular emphasis is placed on the use of software tools for controller design
One part of the course is devoted to classical control design techniques using frequency-domain tools — such as PID tuning and frequency-domain methods — as well as robustness analysis. Another part focuses on system analysis and control synthesis using state-space methods, offering a modern framework that supports the study and design of controllers via state feedback. Particular emphasis is placed on the use of software tools for controller design
Learning outcomes
At the end of this learning unit, the student is able to : | |
|
|
Content
The course is organized in two main parts:
Part 1 - Analysis of systems using frequency-domain tools: Laplace transforms, dynamic response, transfer functions, system poles, block diagrams, stability, PID control, Bode and Nyquist diagrams, lead and lag compensators.
Part 2 - Analysis of systems using time-domain tools: state-space models, matrix exponentials, linearization, linear time-varying systems, Lyapunov stability, controllability and observability, pole placement, advanced control via state feedback.
Part 1 - Analysis of systems using frequency-domain tools: Laplace transforms, dynamic response, transfer functions, system poles, block diagrams, stability, PID control, Bode and Nyquist diagrams, lead and lag compensators.
Part 2 - Analysis of systems using time-domain tools: state-space models, matrix exponentials, linearization, linear time-varying systems, Lyapunov stability, controllability and observability, pole placement, advanced control via state feedback.
Teaching methods
Learning will be based on lectures (in presence mode or in distance mode) interlaced with exercise sessions (offered in class with the support of TAs) and laboratory sessions (to be realized in the laboratory room by groups of 2-5 students using laboratory equipment and MATLAB Simulink).
Evaluation methods
- Written examination.
- Continuous assessment: laboratory assessments and other assessments taking place during the semester (e.g. quizzes, assignments, etc.).
- Let E be the written-examination mark, L the combined laboratory mark (arithmetic mean), and Q the combined quiz mark (arithmetic mean), all out of 20. The final mark will be calculated as follows:
If E < 8: Final mark = E
If E ≥ 8: Final mark = 65% E + 20% L + 15% Q
This threshold reflects the requirement for students to demonstrate individual mastery of the learning outcomes at a minimum level corresponding to 8/20.
- Laboratory sessions, laboratory assessments, and quizzes/assignments will not be organised during the second examination session (August) and cannot be completed outside the semester. In the event of a second examination attempt in August, the continuous-assessment marks will be retained. Consequently, the formula used to calculate the final grade in the second session remains the same as in the first session (with L and Q carried over).
- In the second examination session, only the grade obtained in the second-session written examination is taken into account when calculating the final grade.
- If a student re-enrols in the course in a subsequent academic year, the laboratory sessions and continuous assessments must be completed again, except in exceptional circumstances and only with the lecturer’s approval.
- In specific circumstances, other activities, such as oral assessments or assignments, may be used in place of other assessments.
- The language of the written examination and continuous assessments is the same as the language of instruction (English).
Bibliography
Slides, notes, and laboratory manuals provided by the instructor
Suggested readings from the referenced books :
Suggested readings from the referenced books :
- Khalil, H. K. (2023). Control Systems: An Introduction. Michigan Publishing.
- J. P. Hespanha, "Linear systems theory," Princeton University Press, 2018 (available in the library)
- G. F. Franklin, J. D. Powell, E. Emami-Naeini, "Feedback control of dynamic systems," Prentice Hall, 2019 (available in the library)
Faculty or entity
Programmes / formations proposant cette unité d'enseignement (UE)
Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Bachelor in Engineering
Master [120] in Chemical and Materials Engineering
Master [120] in Mechanical Engineering
Master [120] in Electrical Engineering
Master [120] in Electro-mechanical Engineering
Master [120] in Energy Engineering