On Delay-dependent and Delay-derivative-dependent Stability and Stabilization for Lur’e Systems with Slowvarying Delay

• 作者: Jin-Tian Hu Jin-Wen Liu Lian-Sheng Zhang Xue-Qin Cui Yuan He
• 来源期刊: 电子研究与应用
• 学科: 数学
• 关键词: Lur’e systems TIME-DELAY Absolute STABILITY LMI STABILIZATION
• 年，卷（期）: 2020,（1）
• 页码范围: 18-25
• 页数: 8页
• 分类号: O17

摘要

This note is concerned with the absolutestability for time-varying delay Lur’e system withsector-bounded nonlinearity. Improved delay-dependentand delay-derivative-dependent stability criteria areobtained in the form of linear matrix inequalities (LMIs)by constructing a modified augmented Lyapunov-Krasovskii (LK) functional without applying the modeltransformation or the bounding techniques for crossterms. Thus, the presented delay-dependent criteria areless conservative than those in the literature. Moreover,state feedback stabilizing controllers based on theproposed stability criteria are designed. Numericalexample demonstrates the effectiveness and superiorityof the proposed method.