时变不确定时滞系统的稳定性分析

Stability Analysis of Singularly Perturbed Uncertain Systems with Time-Varying Delay

为解决一类带有时变时滞不确定系统的鲁棒稳定性控制问题,通过细化不确定信息的结构,利用Lya-punov泛函方法,通过构造一种新的Lyapunov-Krasovskii泛函,给出了基于线性矩阵不等式的一种新的鲁棒稳定性判据。所得结论具有普遍性,所提方法不依赖于系统分解,适用于标准和非标准情形。

In order to deal with the stibility, a class of sability control problem for uncertain time-varying delay systems with state delay is investigated. By materializing the uncertained structural informations, we construct a newly simpler LK （Lyapunov-Krasovskii） functionals for SPSs （Singularly Perturbed Systems） with time-varying delays, the new robust stability eriterias are derived by constructing appropriate L-K functional based LMIs（ Line- ar Matrix Inequalities） method. Which theorems deduced possess universality. The proposed methods do not de- pend on the system decomposition and therefore can be applied to both standard and nonstandard SPSs with time- delays.