研究具有执行器故障的Delta算子线性不确定系统的可靠鲁棒H∞问题.设计控制器,确保在执行器发生故障时闭环系统仍能保持鲁棒稳定,且满足给定的H∞指标.针对执行器连续故障模型,运用线性矩阵不等式方法,得到Delta算子系统α-次优可靠鲁棒H∞状态反馈控制器的存在条件和设计方法,并进一步给出了Delta算子系统最优可靠鲁棒H∞控制器的设计方法.数值算例表明,该设计方法是有效而可行的. A robust robust H∞ problem for Delta operator linear uncertain systems with actuator failures is investigated. The controller is designed to ensure that the closed-loop system remains robust and stable in the event of an actuator failure and satisfies the given H∞ index. Aiming at the continuous failure model of actuator, by using the method of linear matrix inequality, the existence condition and design method of α-suboptimal reliable robust H∞ state feedback controller for Delta operator system are obtained, and the optimal and reliable Robust H∞ controller design method Numerical examples show that the design method is effective and feasible.