中文摘要：

为了考虑系统对外界干扰的抑制性能，研究了一类具有范数有界参数不确定性的奇异系统的鲁棒H∞控制问题．控制目标是设计一个状态反馈控制器，使得闭环系统对所有允许的不确定性是正则、无脉冲、稳定且具干扰衰减度．通过引入一个变换矩阵，给出了该问题的一个新的充分必要条件，并且设计方法归结为求一个严格线性矩阵不等式的可行性问题．同时给出了当干扰衰减度未知时的最小干扰衰减度的最优化解决方法．仿真实例表明，所设计的控制器使闭环系统具有良好的响应特性．

英文摘要：

The robust H∞ control for a class of uncertain singular systems with norm-bounded parametric uncertainties was investigated in order to consider the external disturbance attenuation performances of the systems. A state feedback controller was designed to make the resulting closed-loop system regular, impulse-free, stable and with disturbance attenuation for all admissible uncertainties. A new sufficient and necessary condition was obtained by introducing a transform matrix. The design method was transformed to the feasible problem of solving a strict linear matrix inequality. For the case of unknown disturbance attenuation level, an optimization problem was also given to obtain the minimal disturbance attenuation level. A numerical example showed the good performance of the closed-loop system using the proposed controller.