This paper presents new stabilization conditions for discrete-time linear parameter-varying systems in the form of linear matrix inequalities. The use of Lyapunov functions with dependence on delayed scheduling parameters is introduced. In addition, a lifted condition based on a Lyapunov function with dependence on delayed scheduling parameters, constructed in terms of an augmented state vector that takes into account a generic number of higher-order shifted states, is presented. Numerical examples are provided to illustrate the advantages of the proposed approach when compared to other techniques from the literature.

中文翻译：

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使用延迟 Lyapunov 函数的离散时间 LPV 控制

本文以线性矩阵不等式的形式提出了离散时间线性参数变化系统的新稳定条件。介绍了依赖于延迟调度参数的 Lyapunov 函数的使用。此外，还提出了基于 Lyapunov 函数的提升条件，该函数依赖于延迟调度参数，根据增强状态向量构建，该向量考虑了一般数量的高阶移位状态。提供了数值示例来说明与文献中的其他技术相比所提出的方法的优点。