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线性时滞系统的记忆与无记忆复合$H^{\infty}$状态反馈控制
引用本文:姜偕富,费树岷,冯纯伯.线性时滞系统的记忆与无记忆复合$H^{\infty}$状态反馈控制[J].系统工程理论与实践,2002,22(6):21-25.
作者姓名:姜偕富  费树岷  冯纯伯
作者单位:东南大学自动化研究所
基金项目:国家攀登计划 ( 970 2 1 1 0 1 7),国家自然科学基金 ( 6 96 0 4 0 0 3,6 9934 0 1 0 )
摘    要:对于存在状态时滞的线性时滞系统 ,研究了无记忆与带记忆的复合 $H^{\infty}$ 状态反馈控制器的设计问题 ,通过解相应的线性矩阵不等式求得满足设计要求的状态反馈控制器 ,得到了很好的控制效果 .最后给出一个数字仿真实例说明所得结论的有效性 .

关 键 词:时滞系统  线性矩阵不等式(LMI)  渐近稳定性  $H^{\infty}$控制    
文章编号:1000-6788(2002)06-0021-05
修稿时间:2000年11月30

$H^{\infty}$ Control for Linear Time-Delay System with Compound Memory and Memoryless Feedback
JIANG Xie-fu\\{,\},FEI Shu-min\,FENG Chun-bo\.$H^{\infty}$ Control for Linear Time-Delay System with Compound Memory and Memoryless Feedback[J].Systems Engineering —Theory & Practice,2002,22(6):21-25.
Authors:JIANG Xie-fu\\{  \}  FEI Shu-min\  FENG Chun-bo\
Institution:Research Institute of Automation; Southeast University
Abstract:The controller design of linear time delay system with delayed state is derived via compound memory and memoryless feedback. The state feedback $H^{\infty}$ controller, which satisfied the requirement of design, is obtained by solving an LMI. The effect of the control is better. Finally an example is presented to show the effectiveness of our result.
Keywords:time-delay systems  linear matrix inequality (LMI)  asymptotic stability  $H^{\infty}$ control                                                                                                                                                                                                                                                                                                                                                                                                                      
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