Delta算子时滞切换系统的非脆弱H∞控制
Non-Fragile H∞ Control for Delta Operator Time-Delay Switching Systems
DOI: 10.12677/AAM.2023.1212499, PDF,   
作者: 林铭杰：福建师范大学数学与统计学院，福建 福州
关键词: Delta算子；切换系统；时滞；非脆弱H∞控制；Delta Operator； Switching System； Delay； Non-Fragile H∞ Control
摘要: 本文主要研究Delta算子时滞切换系统的非脆弱H∞控制问题，基于Lyapunov函数，利用线性矩阵不等式(LMI)方法，首先先得到H∞控制器存在的条件，使得Delta算子时滞切换系统在任意的切换律下都是渐进稳定的，随后给出设计H∞控制器的设计方法。最后，通过数值算例验证了所给方法的可行性和有效性。
Abstract: This paper mainly studies the non-fragile H∞ control problem of delta-operator time-delay switching systems. Based on Lyapunov function, using linear matrix inequality (LMI) method, the existence conditions of H∞ controller are obtained. The Delta operator time-delay switching system is asymp-totically stable under any switching law, and then the design method of H∞ controller is given. Fi-nally, a numerical example is given to verify the feasibility and effectiveness of the proposed meth-od.
文章引用：林铭杰. Delta算子时滞切换系统的非脆弱H∞控制[J]. 应用数学进展, 2023, 12(12): 5083-5092. https://doi.org/10.12677/AAM.2023.1212499

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