This paper presents the design process and evaluation of a GNC fault detection and isolation (GNC-FDI) filter for the provision of health monitoring capabilities on a reusable launch vehicle (RLV) during ascent. A high fidelity nonlinear model of the Hopper RLV forms the basis of the vehicle benchmark, with NDI control providing a robust vehicle response during unfaulted vehicle operation. Two faults and a variety of fault dynamics are considered; faults in the central engine gimbal actuator and the yaw rate sensor. A robust FDI filter design procedure is developed based on H-infinity FDI theory. Scheduling of designed LTI filters is employed to overcome the variation inherent in the vehicle's dynamical characteristics during ascent. A key feature of the developed design process is that FDI filters are designed in open-loop, despite the vehicle dynamics varying between stable and unstable during the ascent. Monte-Carlo analysis performed using nonlinear simulations demonstrates the robustness and effectiveness of the proposed FDI approach.Nomenclature d = Disturbance f = Generic fault f s = Sensor fault f a = Actuator fault fˆ, res = Fault estimate F = FDI filter F Y ,F U = FDI filter subelements G = Generic vehicle model G u = Vehicle model element accepting plant input G d = Vehicle model element accepting disturbance input G f = Vehicle model element accepting fault input a K , s K = Fault location selectors n = Noise u = Plant input y = Plant output