5.00 credits
30.0 h + 30.0 h
Q1
This learning unit is not being organized during year 2021-2022.
Language
English
Prerequisites
A signals and systems course, such as LFSAB1106. A linear control course, such as LINMA1510.
Main themes
The content of this course deals with the control of linear time invariant systems. In particular the notions of dynamical models and feedback loop will be considered. The notion of operator (implicitly connected to Laplace transform) will be used to transform differential equations into algebraic equations in order to introduce the concept of transfer functions that will ease the analysis and synthesis of controllers and closed-loop systems. The course will mainly concentrate on PID (proportional-integral-derivative) controllers, with reference to the IMC (internal model control) approach which is largely used in process control. The course will also consider topics like time-delay compensation, feedforward actions, ratio control and cascade control, and is open to topics like inferential control and state observers. The course is based in particular on the notions of mass and energy balances and of unit operations, and it is illustrated by examples drawn from applications in the process industry.
Learning outcomes
At the end of this learning unit, the student is able to : | |
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With respect to the referentiel AA, this courses contributes to the dvelopment, the acquisition and the evaluation of the following learning outcomes :
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Content
- General concepts of control
- Notions of dynamical balances
- Mathematical models of dynamical systems
- Stability
- Steady-state acurracy
- Disturbance rejection and trajectory tracking
- Robustness
- Control structures
- Case studies, in particular from the process industry
Teaching methods
The course consists of ex-cathedra courses and of pracical exercices aimed at implementing the concepts of the course in particular via computer exercices using Matlab and Simulink as well as two laboratories aimed at implementing the basic concepts (dynamics and PID regulation) of the course on a tank level control system.
The presence at the laboratories are mandatory ; the registration is done via a piece of paper posted at the level -1 of the Euler building . Both laboratories will the object of an individual evaluation performed during the last week of the semester.
Three homeworks are proposed during the semester. These are individual works proposing the solution of exercices illustrating the matter of the course. These have to be hand-written. Typically two weks are given before the delivery of the homeworks. The homeworks are mandatory. Any delay in the delivery of homeworks will generate a note of 0/20.
The presence at the laboratories are mandatory ; the registration is done via a piece of paper posted at the level -1 of the Euler building . Both laboratories will the object of an individual evaluation performed during the last week of the semester.
Three homeworks are proposed during the semester. These are individual works proposing the solution of exercices illustrating the matter of the course. These have to be hand-written. Typically two weks are given before the delivery of the homeworks. The homeworks are mandatory. Any delay in the delivery of homeworks will generate a note of 0/20.
Evaluation methods
Possible laboratory evaluation outside of the exam period and report of maximum 25 pages on one application related to the scope of the course and covering different aspects of the course matter.
Online resources
Bibliography
Manuel : notes de cours, notice de laboratoire, articles scientifiques de référence et (parties d')ouvrages de référence (disponibles sur moodle).
Faculty or entity
MAP
