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This paper presents a method for reconstructing simultaneous actuator and sensor faults using sliding mode observers, building on previous work, which considered the two cases separately. Appropriate filtering of the system's output yields a 'fictitious system' whose 'actuator faults' are the original actuator and sensor faults. Applying an actuator fault methodology from previous work to the fictitious system, accurate reconstructions of the actuator and sensor faults can be obtained.