含时变滞后的不确定系统的时滞相关型鲁棒控制设计

摘要

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 controller synthesis problem of uncertain systems with time varying delay is investigated. A robust controller with delay compensation is proposed based on Lyapunov function method. The stability criterion of the closed-loop system, which is dependent on the size of the time delay and the size of its derivative, is derived in the form of linear matrix inequalities (LMI). Example shows that the results of using the method in this paper are less conservative than the existing ones.