引用本文:钟宁帆, 孙敏慧, 邹云.奇异摄动系统的H∞控制: 基于奇异系统的方法[J].控制理论与应用,2007,24(5):701~706.[点击复制]
ZHONG Ning-fan, SUN Min-hui, ZOU Yun.H-infinity control for singularly perturbed systems: a method based on singular system controller design[J].Control Theory and Technology,2007,24(5):701~706.[点击复制]
奇异摄动系统的H∞控制: 基于奇异系统的方法
H-infinity control for singularly perturbed systems: a method based on singular system controller design
摘要点击 1546  全文点击 1340  投稿时间：2006-01-10  修订日期：2006-09-19
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DOI编号  10.7641/j.issn.1000-8152.2007.5.002
  2007,24(5):701-706
中文关键词  奇异系统  奇异摄动系统  H∞控制
英文关键词  singular system  singularly perturbed system  H-infinity control
基金项目  国家自然科学基金资助项目(60474078, 60304001).
作者单位
钟宁帆, 孙敏慧, 邹云 南京理工大学自动化学院, 江苏南京210094
中国海洋大学数学系, 山东青岛266003 
中文摘要
      实际系统的奇异系统模型往往通过忽略系统的奇异摄动系统模型微分项系数矩阵中的小时间参数得到.然而, 传统的奇异系统控制器设计很少考虑微分项系数矩阵的摄动. 本文拓展了现有奇异系统输出动态反馈H∞控制器的设计, 使得当实际闭环系统中存在小时间参数时, 仍然能保持稳定并且满足一定的H∞性能指标. 仿真算例说明了本文提出方法的有效性.
英文摘要
      The H-infinity control problem for singularly perturbed system is considered in this paper. The conventional design techniques of the output dynamic feedback H-infinity controller for singular systems are improved. It is shown that when such an improved controller is applied to corresponding singularly perturbed systems, the stability and H-infinity performance of the closed-loop system can be guaranteed when there exist singularly perturbed parameters in the derivative-term-matrix. The H-infinity controller design is " independent. Matrix inequalities are also proposed to design the controller. Finally, a numerical example is presented to show the effectiveness of the controller.