中文摘要：

针对不确定离散广义系统,研究系统在控制器失效情况下的D稳定鲁棒非脆弱控制问题。根据D稳定条件,给出广义离散系统在系统参数不确定的情况下D稳定控制;研究在参数不确定和执行器故障的情况下离散广义系统的D稳定鲁棒可靠控制和D稳定鲁棒非脆弱可靠控制,保证在控制器失效的情况下,系统仍然能满足一定的性能指标。通过求解线性矩阵不等式（LMI）,给出设计D稳定鲁棒非脆弱可靠控制器的方法。仿真结果证明了设计的有效性。

英文摘要：

The robust non-fragile reliable controller was designed for a discrete singular system with the D-stability.A controller was studied to make the uncertain discrete singular system stable by the condition of the D-stable,and the reliable controller and the non-fragile reliable controller were designed to satisfy D-stable for an uncertain singular discrete system.The non-fragile reliable controller can make the system regular,causal and D-stable with actuator failures by the LMI approach.The results show the effectiveness of the proposed design procedures.