Abstract:
The objective of this thesis mainly concerns the development of fault tolerant control laws for delayed nonlinear systems. Robust methodologies are designed in the context of the unknown inputs occurring in the control systems, vis-à-vis the defects, external disturbances and uncertainties of the model. The main objective is to synthesize an active fault tolerant regulator using fuzzy observers. This class of system is very little addressed in the context of fault tolerant control despite its importance on the practical side (control system with SCR networks, chemical, process, transport, etc.). The fuzzy model of Takagi-Sugeno (TS) was used to solve the problems of fault estimation and fault tolerant control for its efficiency and simplicity. The proposed methods in this thesis are given in terms of linear matrix inequalities (LMI) using the fuzzy Lyapunov-Krasovskii function (FL -K).
