Non-linear Automation

Description

This course is an introduction to control and observation of non-linear systems. It is introduced by a few basic theoretical concepts (controllability, observability, linearity, stability...). Then, control laws and observers are introduced. In order to illustrate the interest off the presented concepts and solutions, a practical application will be proposed with the example of an asynchronous machine control. - Geometrical approach: change of reference frame, linearization, decoupling, zero dynamics. - Stability and stabilization: Lyapunov, LaSalle. - Singular disturbances: invariant variety, reduction model. - Sliding mode controls and observers. - Typical examples: electrical engineering, aeronautics, ...