Robust H∞ fault diagnosis for multi-model descriptor systems: A multi-objective approach

A large class of engineering systems are modeled by coupled Differential and algebraic Equations (DAEs), called also singular or descriptor systems. Due to the singular nature of the algebraic equations, descriptor systems do not satisfy the standard state-space description and require special techniques. So far, the literature has concentrated mostly on the numerical analysis and control aspects of descriptor or DAEs systems. This paper investigates the problem of faults detection in nonlinear DAE systems described by a multi-model with the design of an Unknown Input Observer. The stability and robustness properties of the fault diagnosis scheme are investigated in term of LMIs. A simulation example illustrating the ability of the proposed fault diagnosis architecture to detect multiple faults is presented.