Analysis and control of nonlinear systems

The vast majority of systems to be controlled are non-linear and/or non-stationary. The automation engineer must therefore have the tools to classify them (in order to choose the appropriate control methodologies), to analyze them and to control them.

Objectives : To provide students with notions enabling them to

- classify non-linear and non-stationary systems,

- characterize and study the stability of non-linear/non-stationary servo systems using Lyapunov-type techniques and techniques derived from the low-gain theorem,

- control linear/non-stationary systems.

- Analysis of the nature of non-linear systems and study of their stability
- Stability of non-linear and non-stationary servo-controlled systems
- First-order control of non-linear systems
- Elements of differential algebra
- Input-output linearization by looping of non-linear systems.
- Control of non-stationary systems.

Course handouts. To go beyond the course content of the handout, please refer to the "Bibliography" section of the handout.