中文摘要：

研究传感器有故障的Delta算子线性不确定系统的鲁棒D-稳定问题，旨在设计控制器以消除系统不确定性和传感器故障的影响，确保闭环系统极点落在复平面指定圆盘区域内．由于传感器故障具有连续的故障模型，本文采用线性矩阵不等式（LMI）方法，利用故障模型的结构信息，得出了Delta算子系统状态反馈鲁棒D-稳定控制器存在的充分条件，并由此提出相应控制器设计方法．数值算例表明设计方法的可行性和有效性．

英文摘要：

The robust D-stabilization is studied for the delta operator-formulated linear uncertain systems with sensor failures. The purpose is to design a controller which can tolerate sensor failures, such that the closed-loop poles always locate in a specified disk on the complex plane for all admissible uncertainties. Based on the linear continuous model of the sensor failures, the sufficient condition for the existence of a robust D-stabilization controller is derived via the linear matrix inequality（LMI） approach, and the design procedure is also presented. A numerical example is provided to demonstrate the availability of the design method.