研究含时变滞后的不确定系统的控制综合问题 .基于Lyapunov方法提出了一种含滞后补偿的鲁棒控制设计方法 .闭环稳定性条件由一组线性矩阵不等式表示 .在这些条件中给出了稳定性和滞后以及其导数之间的关系 .实例显示 ,利用提供的方法所给出的结果比以往文献给出的结果保守性小 . The control synthesis problem of uncertain systems with time-varying hysteresis is studied. A robust control design method with delay compensation is proposed based on Lyapunov method. The closed-loop stability conditions are represented by a set of linear matrix inequalities. Given these conditions, Stability and hysteresis, and their derivatives.Examples show that the results given using the methods provided are less conservative than those given in the literature.