Automatic control with nonlinear phenomena

The performance requirements in technological systems have led to the widespread use of feedback control and the emergence of significant non-linear phenomena. However, the most commonly used correctors are based on linearity assumption. The course present the behaviour of non-linear systems and introduces methods for analyzing it. These methods are applied to the design of a wide range of systems, from non-linear oscillators (used, for example, in electronics) to the control of highly maneuverable flying machines. The course then introduces a method for controlling non-linear systems called gain scheduling, traditionally used in industry. (Prerequisite to the Master "Automatic Control Engineering" and basis for the options "Aeronautics" and "Ground Transportation").

• Introduction and problem formulation.
• Analysis of closed-loop systems in presence of nonlinearities.
• Analysis of nonlinear systems: a general approach.
• Control of nonlinear systems.