Contribution à l’estimation et à la commande des systèmes non linéaires

MIMOUNE, Khalida (2023) Contribution à l’estimation et à la commande des systèmes non linéaires. Doctoral thesis, Faculté des Sciences et de la technologie.

Text Khalida MIMOUNE.pdf Download (1MB)

Abstract

Exploring the observation and estimation of non-linear systems, particularly those represented by Takagi-Sugeno fuzzy multi-systems, this research addresses the significant challenges in modeling and creating an observer for such systems. It adopts a multi-model approach and employs non-linear sector decomposition to transform these systems into a polytope form, facilitating the development of a robust observer that can accurately reconstruct both the system's states and its unknown inputs under various conditions. The study contrasts traditional quadratic approaches with an innovative non-quadratic method that uses a line-integral Lyapunov function for the estimation of both state and unknown inputs. This method, in conjunction with a specially designed observer, results in linear matrix inequality conditions, providing a more straightforward solution compared to the complex bilinear matrix inequality commonly associated with TS fuzzy systems. Notably, this approach demonstrates reduced conservatism, thereby enhancing its effectiveness and reliability. Additionally, the research investigates state and unknown input estimation for non-linear systems using TS fuzzy systems in scenarios where premise variables are unmeasurable, and it includes practical examples to illustrate the effectiveness of the proposed methods.

Actions (login required)

View Item