中文摘要：

研究具有执行器故障的Delta算子线性不确定系统鲁棒D-稳定可靠控制问题，即设计控制器，消除系统不确定性和执行器故障的影响，确保闲环系统极点落在复平面指定圆盘区域内。考虑执行器故障为连续故障模型的情形，利用线性矩阵不等式（linear matrix inequality，LMI）方法，给出Delta算子系统状态反馈鲁棒I）I稳定可靠控制器存在的充分条件，并由此提出相应控制器设计方法。利用所得结论，给出Delta算子系统状态反馈鲁棒稳定可靠控制器存在的充分条件。数值算例表明设计方法的可行性和有效性。

英文摘要：

The reliable robust D-stabilization problem of the delta operator formulated linear uncertain systems is studied. The aim is to design a controller which can tolerate plant uncertainty and actuator failure, such that the poles of the closed-loop system are located in some disk on complex plane. The model of actuator failure is assumed to be continuous. A sufficient condition for the existence of reliable robust D-stabilization controllers is derived via the linear matrix inequality（LMI） approach, and a design procedure of such controllers is presented. Furthermore, a sufficient condition for the existence of reliable robust stabilization controllers is deduced. A numerical example is provided to demonstrate the availability of the design method.