中文摘要：

为不明确的线性单个系统的一个类的混合 L ₁/H-infinity 控制问题用一条矩阵不平等途径被考虑。目的是设计一条州的反馈控制法律以便结果的靠近环的系统是常规的，没有推动，稳定并且满足一些给定的混合 L ₁/H-infinity 性能。为如此的控制法律的存在的一个足够的条件被逃避不了的集合的介绍以一套矩阵不平等给并且 * 标准。当这些矩阵不平等是可行的时，需要的州的反馈控制法律的一个明确的表达式被给。一个数字例子被用来表明建议途径的适用性。

英文摘要：

The mixed L1/H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach. The purpose is to design a state feedback control law such that the resultant closed-loop system is regular, impulse-free, stable and satisfies some given mixed L1/H-infinity performance. A sufficient condition for the existence of such control law is given in terms of a set of matrix inequalities by the introduction of inescapable set and ＊-norm. When these matrix inequalities are feasible, an explicit expression of the desired state feedback control law is given. A numerical example is used to demonstrate the applicability of the proposed approach.