A less conservative robust stability test for linear uncertain time-delay systems
A less conservative robust stability test for linear uncertain time-delay systems
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DOI：
10.1109/tac.2005.861720
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发表时间：
2006-01
期刊：
影响因子：
--
通讯作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
中科院分区：
文献类型：
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作者：
Chong Lin;Qing‐Guo Wang;Tong-heng Lee
本文研究了具有状态时滞的线性不确定系统的鲁棒稳定性。不确定性被假定为多面体类型。基于一种新的Lyapunov-Krasovskii泛函，提出了一种保守性较低的时滞相关线性矩阵不等式(LMI)方法。本方法结合了一种松弛的参数依赖技术和最近提出的引入自由加权矩阵的想法。当被限制在无时滞的情况下，本结果也比现有的使用参数相关方法的稳定性试验要保守得多。数值算例表明，所得结果具有较低的保守性。
This note concerns with the robust stability of linear uncertain systems with state-delay. The uncertainty is assumed to be of polytopic type. A less conservative delay-dependent linear matrix inequality (LMI) method is presented based on a new Lyapunov-Krasovskii functional. The present method incorporates a relaxed parameter-dependent technique combined with a recently proposed idea of introducing free-weighting matrices. When confined to delay-free case, the present result is also less conservative than existing stability tests using parameter-dependent methods. Numerical examples are given to show the less conservativeness of the results.