This paper proposes a fault estimation method for sampled-data systems with sensor faults. The sampled-data system is firstly discretized to obtain a discrete-time model. Then a descriptor system is constructed to describe the discretized system with sensor faults. Based on the descriptor system representation, a bank of observers are designed to isolate and estimate the sensor faults. These observers can be synthesized by the linear matrix inequality(LMI) technique, and sufficient conditions for the existence of these observers are derived. Finally, the effectiveness is ascertained by an aircraft simulation example, which is in the proposed method.