This course is an introduction to the many methods of analysis and control of nonlinear systems. Given the extent of existing methods and approaches, this course is not intended to be exhaustive. At the end of the course, students will have the foundation necessary to address the best way and the most appropriate, analysis and control of nonlinear systems.
Part 1: Analysis Methods of NonLinear Systems
Analysis and control of nonlinear systems (e.g. turbojet motor, DC-DC "Boost" converter, ball and beam, magnetic levitation system...). Nonlinear adaptive control. Observers and nonlinear estimation of parameters.
The job is mainly done by simulation.Prerequisites
Linear algebra, complex numbers, Norms, elementary topology in Rn, elementary differential geometry.
Analysis and control of linear systems in continuous-time, transfer function modelling, state space modelling.
Session 1 :
E1 : Written final Exam of 2h30mn, all course documents allowed, Simple calculator allowed.
CC : Written class-work of 1h30mn, all course documents allowed, Simple calculator allowed.
TP : Average of notes of practical reports
E2 : Written final Exam of 2h30mn, all course documents allowed, Simple calculator allowed.
The course exists in the following branches:
Course ID : 5AMAC551
You can find this course among all other courses.
H.K. Khalil, Nonlinear Systems, 1996, Prentice Hall.
J.J.E. Slotine, et W. Li, Applied Nonlinear Control, 1991, Prentice-Hall.
A.J. van der Schaft, L2-Gain and Passivity Techniques in Nonlinear Control, 2000, Springer-Verlag.
A. Isidori, Nonlinear Control Systems, 1989, Springer-Verlag.
B. d’Andréa-Novel et M. Cohen de Lara, Commande linéaire des systèmes dynamiques, 1994, Masson.
H. Bülher, Réglage par mode de glissement, 1986, Presses Polytechniques Romandes.
Date of update June 25, 2015