State and fault estimation based sliding mode observer approach for systems subjected to a norm-bounded uncertainty

This paper proposes a design approach of robust sliding mode observer (SMO) of linear uncertain systems. The uncertainty under consideration being norm bounded. The two steps of the design methodology are investigated. The stability step, in which the robust state estimation error is shown to be uniformly ultimately bounded known as practical stability. In the reaching step, a discontinuous switched function ensuring a bounded motion is proposed about the ideal sliding mode. Finally, the validity and the applicability of this approach are illustrated by a flight benchmark example.