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Stability analysis of LPV time-delayed systems

机译:LPV时滞系统的稳定性分析

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This work provides one of the first attempts to derive computationally tractable criteria for analysing the stability of linear parameter varying (LPV) time-delayed systems. We present both delay-independent and delay-dependent stability conditions, which are derived using appropriately selected Lyapunov-Krasovskii functionals. According to the system parameter dependence, these functionals can be selected to obtain increasingly non-conservative results. Gridding techniques may be used to cast these tests as linear matrix inequalities (LMIs). In cases when the system matrices depend affinely or quadratically on the parameter, gridding may be avoided. These LMIs can be solved efficiently using available software. A numerical example of a time-delayed system motivated by a metal removal process is used to demonstrate the theoretical results. [References: 30]
机译:这项工作提供了首次尝试来获得可计算的标准,以分析线性参数变化(LPV)时滞系统的稳定性。我们介绍了延迟独立和延迟依赖的稳定性条件,它们是使用适当选择的Lyapunov-Krasovskii泛函导出的。根据系统参数的依赖性,可以选择这些功能以获得越来越非保守的结果。可以使用网格技术将这些测试转换为线性矩阵不等式(LMI)。在系统矩阵仿射或二次取决于参数的情况下,可以避免网格化。这些LMI可以使用可用的软件有效地解决。一个以金属去除过程为动力的时滞系统的数值例子被用来证明理论结果。 [参考:30]

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