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

作　　者：林铭杰 

机构地区：[1]福建师范大学数学与统计学院,福建 福州

出　　处：《应用数学进展》2023年第12期5083-5092,共10页Advances in Applied Mathematics

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。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.

关 键 词：DELTA算子 切换系统 时滞 非脆弱H_∞控制 

分 类 号：G63[文化科学—教育学]