时滞奇异摄动不确定系统的H_(∞)控制  

H_(∞)Control of Time-Delay Singularly Perturbed Uncertain Systems

作　　者：王永超 WANG Yongchao(College of Mathematics,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院,吉林长春130000

出　　处：《太原师范学院学报（自然科学版）》2021年第1期43-48,共6页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：利用交叉项界定法对一类含有时变时滞的奇异摄动不确定系统的H∞控制问题进行分析,设计无记忆输出反馈控制器,通过构造适当的Lyapunov泛函,使得闭环系统渐近稳定,且满足一定的H_(∞)性能指标,从而降低所得结果的保守性.The cross-term definition method is used to analyze the control problem of a class of singularly perturbed uncertain systems with time-varying delays,and a memoryless output feedback H∞controller is designed.By constructing an appropriate Lyapunov functional,the closed-loop system is asymptotically stable,and meet certain H_(∞)performance indicators,thereby reducing the conservativeness of the results obtained.

关 键 词：时变时滞 奇异摄动系统 交叉项界定法 输出反馈H∞控制 

分 类 号：O231[理学—运筹学与控制论]