Standard H∞ Filtering Formulation of Robust Fault Detection

Abstract

This paper studies the robust fault detection problem using the standard H∞ filtering formulation. With this formulation, the minimization of the disturbance effect on the residual is formulated as a standard H∞ filtering problem and the design is solved using an algebraic Riccati equation. To facilitate the enhancement of the residual sensitivity to the fault, the difference between the residual and the fault (or filtered fault) is minimized against the disturbance and the fault. The residual generated in this way is a faithful replicate of the fault and the reliable detection can be achieved. The paper also incorporates the modelling error into the robust residual design using the standard H∞ filtering formulation.