Coursebooks

Multivariable control

ME-422

Lecturer(s) :

Ferrari Trecate Giancarlo

Language:

English

Summary

This course covers methods for the analysis and control of systems with multiple inputs and outputs, which are ubiquitous in modern technology and industry. Special emphasis will be given to discrete-time systems, due to their relevance for digital and embedded control architectures.

Content

Several industries across engineering (e.g. manufacturing, energy, chemical, and transportation) rely on the simultaneous utilization of multiple sensing and actuation channels. Multivariable systems are also relevant for emerging technologies, such as the internet of things, and for fields beyond engineering, such as biology or finance. The first part of this course will provide methods for analyzing multi-input multi-output dynamical systems in the state-space form. The focus will be on linear discrete-time models which offer a reference framework for digital control architectures. To this purpose, several concept of basic system theory will be recalled and developed in detail. The second part will cover popular methods for designing multivariable controllers and illustrate their application to various classes of systems.

Structure

Keywords

Multivariable systems, feedback control, state-space models, optimal control, LQR, Kalman filtering, LQG

Learning Prerequisites

Required courses

Linear algebra, Control systems

Important concepts to start the course

Learning Outcomes

By the end of the course, the student must be able to:

Transversal skills

Teaching methods

Ex-cathedra, exercises

Assessment methods

Written final exam

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Bibliography

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12 GRA331   
12-13     
13-14 GRA331   
14-15 GRA331   
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German