Fault diagnosis and fault tolerant control scheme for a class of non‐linear singular systems

A new fault detection and diagnosis method is developed in this study for a class of singular non‐linear systems via the use of observers with adaptive updating rules. The Lyapunov stability theory is applied to obtain a stable observation error system and to obtain the required adaptive tuning rules for the estimation of the process faults. Based on the fault estimation information, the controller is reconfigured to keep the post‐fault system stable, leading to the active fault tolerant control of the non‐linear singular system. A simulated numerical example is included to demonstrate the effectiveness of the proposed approach.