中文摘要：

针对一类含有时变时滞的不确定线性系统，研究了在传感器发生故障情况下系统指数稳定鲁棒H∞可靠控制器设计问题。通过状态变换，将原系统的鲁棒可靠指数稳定问题转化为另一个等价系统的鲁棒可靠稳定问题，根据Lyapunov稳定性理论，推导出系统存在指数稳定可靠控制器应满足的矩阵不等式和系统具有H∞性能指标应满足的矩阵不等式，并将其转化为两个线性矩阵不等式，给出了状态反馈控制器的设计方法。该方法设计的指数稳定鲁棒H∞可靠控制器，使得时滞系统对于任意允许的不确定性以及一个预先指定传感器子集中任意传感器失效都能够保持鲁棒指数稳定，并使系统具有指定H∞范数的干扰抑制能力。仿真结果表明了该控制器设计方法的有效性。

英文摘要：

The problem of robust H∞ reliable control with exponential stabilization is investigated for timevarying delayed uncertain systems against sensor failure. By means of model transformation, the study of robust reliable exponential stabilization was transformed into the equivalent study of robust reliable stabilization. Based on Lyapunov stability theory, a sufficient condition of the existence of robust controller with exponential stability was given. At the same time, another sufficient condition of the existence of robust controller possessing H∞ performance index was presented. Those conditions were transformed into two linear matrix inequalities （LMIs） and the designing approach of state-feedback controller was provided. The resultant control systems can retain robust exponential stability and disturbance attenuation with H∞ norm bounds despite any outages within a prespecified subset of sensors. A numerical example illustrates the effectiveness of the theoretical results.