利用 L MI方法讨论和研究 Delta算子描述下的线性定常系统的 H∞ 控制问题 ,并给出了连续系统、Z变换所得到的离散系统和 Delta算子所描述的系统三者的 H∞ 控制问题的比较。结果表明 ,Delta算子所描述的系统的设计方法更适合于离散系统 ,尤其适合于小采样周期系统 The LMI method is used to discuss and study the H∞ control problem of linear stationary systems under the Delta operator description. The H∞ control of the three systems described by the continuous system, the discrete systems obtained by Z transform and the Delta operators is given Comparison of problems. The results show that the design method of the system described by Delta operator is more suitable for discrete systems, especially for small sampling period system